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.
Suitable for all grades, Swing Fling lets you control a bird on a swing. Fling past the start line 3 times to win. Play Swing Fling online, here. Fraction Math Games. Fraction math games for children in 1st grade, 2nd grade, 3rd grade, 4th grade, 5th grade, 6th grade and 7th grade. Featuring fraction games: fraction Rally games, fraction fling the teacher, fraction concentration game, fraction snakes and ladders, fraction crocodile board game, fraction pirate game, fraction catapult game, fraction time challenge quiz, fraction click map. Free Fractions calculator - Add, Subtract, Reduce, Divide and Multiply fractions step-by-step This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy.
This will explain how to get on the webstie www.abcya.com to practice identifying fractions, using a picture. Use this fraction calculator for adding, subtracting, multiplying and dividing fractions. Answers are fractions in lowest terms or mixed numbers in reduced form. Input proper or improper fractions, select the math sign and click Calculate. This is a fraction calculator with steps shown in the solution.
Mixed Numbers Calculator
Simplify Fractions Calculator
Decimal to Fraction Calculator
Fraction to Decimal Calculator
Big Number Fraction Calculator
Use this calculator if the numerators or denominators are very big integers.
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
, the numerator is 3, and the denominator is 8. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be
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.
Addition:
Unlike adding and subtracting integers such as 2 and 8, fractions require a common denominator to undergo these operations. One method for finding a common denominator involves multiplying the numerators and denominators of all of the fractions involved by the product of the denominators of each fraction. Multiplying all of the denominators ensures that the new denominator is certain to be a multiple of each individual denominator. The numerators also need to be multiplied by the appropriate factors to preserve the value of the fraction as a whole. This is arguably the simplest way to ensure that the fractions have a common denominator. However, in most cases, the solutions to these equations will not appear in simplified form (the provided calculator computes the simplification automatically). Below is an example using this method.
This process can be used for any number of fractions. Just multiply the numerators and denominators of each fraction in the problem by the product of the denominators of all the other fractions (not including its own respective denominator) in the problem.
An alternative method for finding a common denominator is to determine the least common multiple (LCM) for the denominators, then add or subtract the numerators as one would an integer. Using the least common multiple can be more efficient and is more likely result in a fraction in simplified form. In the example above, the denominators were 4, 6, and 2. The least common multiple is the first shared multiple of these three numbers.
| Multiples of 2: 2, 4, 6, 8 10, 12 |
| Multiples of 4: 4, 8, 12 |
| Multiples of 6: 6, 12 |
The first multiple they all share is 12, so this is the least common multiple. To complete an addition (or subtraction) problem, multiply the numerators and denominators of each fraction in the problem by whatever value will make the denominators 12, then add the numerators.
Subtraction:
Fraction subtraction is essentially the same as fraction addition. A common denominator is required for the operation to occur. Refer to the addition section as well as the equations below for clarification.
Multiplication:
Multiplying fractions is fairly straightforward. Unlike adding and subtracting, it is not necessary to compute a common denominator in order to multiply fractions. Simply, the numerators and denominators of each fraction are multiplied, and the result forms a new numerator and denominator. If possible, the solution should be simplified. Refer to the equations below for clarification.
Division:
The process for dividing fractions is similar to that for multiplying fractions. In order to divide fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number
a is simply
. When a is a fraction, this essentially involves exchanging the position of the numerator and the denominator. The reciprocal of the fraction
would therefore be
. Refer to the equations below for clarification.
Simplification:
It is often easier to work with simplified fractions. As such, fraction solutions are commonly expressed in their simplified forms.
for example, is more cumbersome than
. The calculator provided returns fraction inputs in both improper fraction form, as well as mixed number form. In both cases, fractions are presented in their lowest forms by dividing both numerator and denominator by their greatest common factor.
Converting between fractions and decimals:
Converting from decimals to fractions is straightforward. It does however require the understanding that each decimal place to the right of the decimal point represents a power of 10; the first decimal place being 10
1, the second 10
2, the third 10
3, and so on. Simply determine what power of 10 the decimal extends to, use that power of 10 as the denominator, enter each number to the right of the decimal point as the numerator, and simplify. For example, looking at the number 0.1234, the number 4 is in the fourth decimal place which constitutes 10
4, or 10,000. This would make the fraction
, which simplifies to
, since the greatest common factor between the numerator and denominator is 2. Similarly, fractions with denominators that are powers of 10 (or can be converted to powers of 10) can be translated to decimal form using the same principles. Take the fraction
for example. To convert this fraction into a decimal, first convert it into the fraction
. Knowing that the first decimal place represents 10
-1,
can be converted to 0.5. If the fraction were instead
Abcya Math Fraction Fling
, the decimal would then be 0.05, and so on. Beyond this, converting fractions into decimals requires the operation of long division.
Common Engineering Fraction to Decimal Conversions
In engineering, fractions are widely used to describe the size of components such as pipes and bolts. The most common fractional and decimal equivalents are listed below.
| 64th | 32nd | 16th | 8th | 4th | 2nd | Decimal | Decimal
(inch to mm) |
| 1/64 | 0.015625 | 0.396875 |
| 2/64 | 1/32 | 0.03125 | 0.79375 |
| 3/64 | 0.046875 | 1.190625 |
| 4/64 | 2/32 | 1/16 | 0.0625 | 1.5875 |
| 5/64 | 0.078125 | 1.984375 |
| 6/64 | 3/32 | 0.09375 | 2.38125 |
| 7/64 | 0.109375 | 2.778125 |
| 8/64 | 4/32 | 2/16 | 1/8 | 0.125 | 3.175 |
| 9/64 | 0.140625 | 3.571875 |
| 10/64 | 5/32 | 0.15625 | 3.96875 |
| 11/64 | 0.171875 | 4.365625 |
| 12/64 | 6/32 | 3/16 | 0.1875 | 4.7625 |
| 13/64 | 0.203125 | 5.159375 |
| 14/64 | 7/32 | 0.21875 | 5.55625 |
| 15/64 | 0.234375 | 5.953125 |
| 16/64 | 8/32 | 4/16 | 2/8 | 1/4 | 0.25 | 6.35 |
| 17/64 | 0.265625 | 6.746875 |
| 18/64 | 9/32 | 0.28125 | 7.14375 |
| 19/64 | 0.296875 | 7.540625 |
| 20/64 | 10/32 | 5/16 | 0.3125 | 7.9375 |
| 21/64 | 0.328125 | 8.334375 |
| 22/64 | 11/32 | 0.34375 | 8.73125 |
| 23/64 | 0.359375 | 9.128125 |
| 24/64 | 12/32 | 6/16 | 3/8 | 0.375 | 9.525 |
| 25/64 | 0.390625 | 9.921875 |
| 26/64 | 13/32 | 0.40625 | 10.31875 |
| 27/64 | 0.421875 | 10.715625 |
| 28/64 | 14/32 | 7/16 | 0.4375 | 11.1125 |
| 29/64 | 0.453125 | 11.509375 |
| 30/64 | 15/32 | 0.46875 | 11.90625 |
| 31/64 | 0.484375 | 12.303125 |
| 32/64 | 16/32 | 8/16 | 4/8 | 2/4 | 1/2 | 0.5 | 12.7 |
| 33/64 | 0.515625 | 13.096875 |
| 34/64 | 17/32 | 0.53125 | 13.49375 |
| 35/64 | 0.546875 | 13.890625 |
| 36/64 | 18/32 | 9/16 | 0.5625 | 14.2875 |
| 37/64 | 0.578125 | 14.684375 |
| 38/64 | 19/32 | 0.59375 | 15.08125 |
| 39/64 | 0.609375 | 15.478125 |
| 40/64 | 20/32 | 10/16 | 5/8 | 0.625 | 15.875 |
| 41/64 | 0.640625 | 16.271875 |
| 42/64 | 21/32 | 0.65625 | 16.66875 |
| 43/64 | 0.671875 | 17.065625 |
| 44/64 | 22/32 | 11/16 | 0.6875 | 17.4625 |
| 45/64 | 0.703125 | 17.859375 |
| 46/64 | 23/32 | 0.71875 | 18.25625 |
| 47/64 | 0.734375 | 18.653125 |
| 48/64 | 24/32 | 12/16 | 6/8 | 3/4 | 0.75 | 19.05 |
| 49/64 | 0.765625 | 19.446875 |
| 50/64 | 25/32 | 0.78125 | 19.84375 |
| 51/64 | 0.796875 | 20.240625 |
| 52/64 | 26/32 | 13/16 | 0.8125 | 20.6375 |
| 53/64 | 0.828125 | 21.034375 |
| 54/64 | 27/32 | 0.84375 | 21.43125 |
| 55/64 | 0.859375 | 21.828125 |
| 56/64 | 28/32 | 14/16 | 7/8 | 0.875 | 22.225 |
| 57/64 | 0.890625 | 22.621875 |
| 58/64 | 29/32 | 0.90625 | 23.01875 |
| 59/64 | 0.921875 | 23.415625 |
| 60/64 | 30/32 | 15/16 | 0.9375 | 23.8125 |
| 61/64 | 0.953125 | 24.209375 |
| 62/64 | 31/32 | 0.96875 | 24.60625 |
| 63/64 | 0.984375 | 25.003125 |
| 64/64 | 32/32 | 16/16 | 8/8 | 4/4 | 2/2 | 1 | 25.4 |
Math Worksheets & Printables
These worksheets are printable PDF exercises of the highest quality. Writing reinforces Maths learnt. These worksheets are from preschool, kindergarten to grade 6 levels of maths. The following topics are covered among others:
Math Video Lessons
Ever wondered how to teach maths to kids as a teacher or parent? Simply let them watch our vividly presented videos. These videos cover a number of math topics and simply teach the lesson. The good thing is that they are videos which means they can be watched over and over again. We even have ipod compatible videos along these topics : Lessons to teach Addition, subtraction, Geometry, Comparison, Algebra, Shapes, Time, Fractions, Decimals, Sequence, Division, Metric system, Logarithms, ratios, probability, multiplication and more>>>
Math Quizzes Online - Addition, subtraction, Geometry, Comparison, Algebra, Shapes, Time, Fractions, Decimals, Sequence, Division, Metric system, Logarithms, ratios, probability, multiplication
These quizzes range from multiple choice math quizzes, gap fill quizzes, matching exercises, hotspot quizzes with graphics and more for interactive math practice.
Math Playground Fraction Fling
Website General Content:
Fraction Fling Game
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