This calculator performs operations to solve problems that involve ratios. You may do the following:. To simplify a ratio enter the terms antecedent and consequent of the ratio in the cells marked respectively A and B, and and press 'Simplify'. This will reduce the ratio to its simplest form. To convert a ratio to 1:n form or to n:1 form enter the terms of the ratio, also in A and B, and press '1:n' or 'n:1'.

If you wish to find an equivalent ratio use the fields in the second line to enter any three of the known values, then click 'Calculate'. To simplify the ratio, this calculator uses the same procedure as the one used to simplify fractions. To convert the ratio to 1:n form, the calculator divides both numbers by the antecedent term A. To convert to n:1 form, it divides both numbers by the consequent number B.

To calculate the missing value in equivalent ratios it applies one of the following formulas depending on which one is the missing value:.

Ratio is a way to describe the relationship between two related numbers. Ratios are used in many diverse activities of our life: In maps they express the scale of the map means that one inch on the map represents inches or 1 mile in the real world.

In recipes they can be used to describe the proportions of each ingredient 2 cups of water for every cup of rice. Calculators Conversions. Ratio calculator Use this calculator to solve problems related to ratios. Ratio simplifier and converter calculator This calculator performs operations to solve problems that involve ratios.

You may do the following: Simplify a known ratio like simplifying a fraction. Convert a ratio to 1:n form like you often see in maps. Convert a ratio to n:1 form. Find equivalent ratios. To convert a ratio to 1:n form or to n:1 form enter the terms of the ratio, also in A and B, and press '1:n' or 'n:1' If you wish to find an equivalent ratio use the fields in the second line to enter any three of the known values, then click 'Calculate'.

How does the ratio simplifier and converter work To simplify the ratio, this calculator uses the same procedure as the one used to simplify fractions.If Mrs. Dale's 6th-grade class can answer 10 quiz questions in five minutes, how many quiz questions can they answer in 14 minutes? Although it might seem trivial, this sort of word problem perfectly illustrates the application of equivalent fractions to find the missing piece in related proportions.

There's just one problem: A piece of the puzzle — the answer to how many quiz questions the kids can answer — is missing, but you can use cross multiplication to find it. Write down your data as two equivalent fractions, letting x represent the unknown quantity. Multiply the numerator of the first fraction by the denominator of the second fraction, and then multiply the denominator of the first fraction by the numerator of the second fraction.

Set the two quantities as equal and solve for x. Before you can cross-multiply to find the missing number, you have to set up the problem using equivalent fractions. Start by designating which data goes in the numerator top number of the fraction and which data goes in the denominator bottom number.

For example, you could say that the numerators will represent how many problems the students can solve, while the denominators of the fractions will represent how many minutes they have to do the solving.

Now that you've designated which information goes where, write out the fractions and set them as equal to each other. Multiply the numerator of the first fraction by the denominator of the second fraction. Then multiply the numerator of the second fraction by the denominator of the first fraction.

## Proportion Calculator

Set the two quantities as equal to each other. Simplify your equation as much as possible. Keep your eye on the prize: Your ultimate goal is to solve for x and find out what x represents. To continue the example, divide both sides of the equation by 5. So Mrs. Dale's class can solve 28 problems in 14 minutes. Lisa studied mathematics at the University of Alaska, Anchorage, and spent several years tutoring high school and university students through scary -- but fun!

About the Author. Copyright Leaf Group Ltd.Below is the simple calculator which can help you to find missing numbers in an integer sequence. Let's suppose you have text file of consecutive numbers, like this, each number on its own line.

However, there are some missing numbers and gaps. For the example above, 5 is missing, and there are two gaps: between 8 and 11 and between 14 and Of course, in this example you can find all problems by yourself, but if we talk about thousands of numbers, it will be too cumbersome. That's why I've created this calculator. You can paste list of numbers in there, and it will display all missing numbers and gaps it was able to find in the sequence bounded by the first and the last line of the list.

The reason for the second option is that probably you rarely have list of just numbers. Your text file can include additional text, something like this: 1 Paper beats stone 2 Scissors beats paper 3 Stone beats scissors. For that case, you can use regular expression to extract number from line and then check the sequence.

You need to set "Use regular expression to parse number" checkbox and enter regular expression and match group which will be used to extract number. Default regular expression matches line where number is placed at the beginning of the line. Let's suppose you have text file of consecutive numbers, like this, each number on its own line 1 2 3 4 6 7 12 13 18 However, there are some missing numbers and gaps.

I have also added couple of options: You can set "Collapse gaps" checkbox to output gaps in collapsed form, in other words, as 8 - 11, there 8 is the start of the gap and 11 is the end of the gap. This option turned on by default. If you uncheck it, you will get list of all numbers in a gap, i.

You can set "Use regular expression to parse number" checkbox to parse line of your text file with regular expression. Your text file can include additional text, something like this: 1 Paper beats stone 2 Scissors beats paper 3 Stone beats scissors For that case, you can use regular expression to extract number from line and then check the sequence. Gaps and missing numbers finder. Regular expression. Matched group index.

Share this page.This trigonometry calculator will help you in two popular cases when trigonometry is needed. If you want to find the values of sine, cosine, tangent and their reciprocal functions, use the first part of the calculator.

Searching for the missing side or angle in a right triangleusing trigonometry? Our tool is also a safe bet! Type given values in the second part of the calculator and in a blink of an eye you'll find the answer. Scroll down if you want to read more about what is trigonometry and where you can apply it. There are many other tools useful when dealing with trigonometry problems. Check out two popular trigonometric laws: law of sines and law of cosines calculators, helping to solve any kind of a triangle.

If you want to read more about the trigonometric functions, go to our dedicated tools:. Trigonometry is a branch of mathematics. As the name suggests, trigonometry deals mostly with angles and triangles ; in particular, it's defining and using the relationships and ratios between angles and sides in triangles.

The primary application is thus solving triangles, specifically right triangles, but also any other type of triangle you like. Trigonometry has plenty of applications: from everyday life problems such as calculating the height or distance between objects to the satellite navigation system, astronomy, and geography. Also, sine and cosine functions are fundamental for describing periodic phenomena - thanks to them, we can describe oscillatory movements as simple pendulum and waves like sound, vibration or light.

Many different fields of science and engineering use trigonometry and trigonometric functions, to mention only a few of them: music, acoustics, electronics, medicine and medical imaging, biology, chemistry, meteorology, electrical, mechanical and civil engineering, even economics The trigonometric functions are really all around us!

To find the trigonometric functions of an angle, enter the chosen angle in degrees or radians. Underneath the calculator, six most popular trig functions will appear - three basic ones: sine, cosine and tangent, and their reciprocals: cosecant, secant and cotangent. Additionally, if the angle is acute, the right triangle will be displayed, which can help you in understanding how the functions may be interpreted.

To find the missing sides or angles of the right triangle, all you need to do is enter the known variables into the trigonometry calculator. You need only two given values in the case of:. Remember that if you know two angles, it's not enough to find the sides of the triangle. Two triangles having the same shape which means they have equal angles may be of different sizes not the same side length - that kind of relationship is called triangle similarity.

If the sides have the same length, then the triangles are congruent. Trigonometry Calculator can be embedded on your website to enrich the content you wrote and make it easier for your visitors to understand your message. Get the HTML code. Omni Calculator logo Embed Share via. Trigonometric functions: sin, cos, tan Check out 9 similar trigonometry calculators. Law of cosines. Law of sines.

Table of contents: What is trigonometry? Trig calculator finding sin, cos, tan, cot, sec, csc Trigonometry calculator as a tool for solving right triangle. If you want to read more about the trigonometric functions, go to our dedicated tools: sine cosine tangent.Solve for an unknown value x with this fractions calculator.

## Algebra Calculator

Find the missing fraction variable in the proportion using cross multiplication to calculate the unknown variable x. Solve the proportion between 2 fractions and calculate the missing fraction variable in equalities. Enter 3 values and 1 unknown. The proportion calculator solves for x. Cross multiplying works because you're just multiplying both sides of the equation by 1.

Since multiplying anything by 1 doesn't change its value you'll have an equivalent equation. If you multiply both sides by 1 using the denominators from the other side of the equation you get:. Note that this doesn't change anything, because multiplying anything by 1 doesn't change its value. So now you have:. Cross-Multiplication from Ask Dr. Cross Products from Ask Dr. Basic Calculator. Fractions Solve for Unknown X. Solve for X Fraction Calculator.

Enter 3 numbers and 1 unknown variable using X or any other letter. Numerator 1. Denominator 1. Numerator 2.

### Fractions Calculators

Denominator 2. Send Me Feedback. Share this Answer Link: help Paste this link in email, text or social media. Get a Widget for this Calculator.Enter one known value of a circle and calculate the areacircumferenceradius or diameter.

You will get solution with step-by-step explanation. To calculate missing value in circle, based on one known value, you need to remember just three formulas. Welcome to MathPortal. I designed this web site and wrote all the lessons, formulas and calculators. If you want to contact me, probably have some question write me using the contact form or email me on. Math Calculators, Lessons and Formulas It is time to solve your math problem. Circle calculator. Circle Calculator. Input one value you know and select a value you want to find.

The valid numbers are integers 10decimals Select value to find: area A circumference C radius r diameter d. Factoring Polynomials. Rationalize Denominator.

**calculator skills fractions**

Quadratic Equations. Solving with steps. Equilateral Triangle. Unary Operations. System 2x2. Limit Calculator. Arithmetic Sequences. Distance and Midpoint. Degrees to Radians. Evaluate Expressions. Descriptive Statistics. Simple Interest. Work Problems. Circle Formulas To calculate missing value in circle, based on one known value, you need to remember just three formulas.

Quick Calculator Search. Related Calculators Equilateral Triangle. Square Calculator. Rectangle Calculator. Right Triangle Calculator.

Circle Equation Calculator. Was this calculator helpful? Yes No. Please tell me how can I make this better. About the Author. Comment: Email optional.

### Circle calculator

Enter known value:.Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Fields above the solid black line represent the numerator, while fields below represent the denominator. In mathematics, a fraction is a number that represents a part of a whole.

It consists of a numerator and a denominator.

The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction 3 5the numerator is 3, and the denominator is 5. A more illustrative example could involve a pie with 8 slices. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 5 8 as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined.

Fractions can undergo many different operations, some of which are mentioned below. Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. The equations provided below account for this by multiplying the numerators and denominators of all of the fractions involved in the addition by the denominators of each fraction excluding multiplying itself by its own denominator.

Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. Multiplying the numerator of each fraction by the same factors is necessary, since fractions are ratios of values and a changed denominator requires that the numerator be changed by the same factor in order for the value of the fraction to remain the same.

This is arguably the simplest way to ensure that the fractions have a common denominator. Note that in most cases, the solutions to these equations will not appear in simplified form though the provided calculator computes the simplification automatically.

An alternative to using this equation in cases where the fractions are uncomplicated would be to find a least common multiple and then add or subtract the numerators as one would an integer.

Depending on the complexity of the fractions, finding the least common multiple for the denominator can be more efficient than using the equations.

Refer to the equations below for clarification. Fraction subtraction is essentially the same as fraction addition.

A common denominator is required for the operation to occur.

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