Fraction Calculator – Ultimate Tool to Add Fractions
Add, subtract, multiply, or divide two fractions by entering them below. Use a space to separate whole numbers from the fraction.
Result as a Fraction:12+14=34
Result as a Decimal:12+14=0.75
Steps to Solve
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How to Calculate Fractions
The calculator above makes it easy to add, subtract, multiply, or divide fractions and even shows all of the work.
But how do you calculate fractions without a calculator? See the guides below to learn how to add and subtract, multiply, or divide them.
How to Add & Subtract Fractions
Adding and subtracting fractions is a little different from adding regular whole numbers. There are three easy steps to add or subtract fractions.
Step One: Convert to Fractions with a Common Denominator
When adding or subtracting fractions, the first step is to convert them to equivalent fractions with the same denominator.
To do this, start by finding the lowest common denominator for the denominators of both fractions. The lowest common denominator is the smallest number that both denominators can be divided into evenly.
Next, find the multiple for each denominator that, when be multiplied, equals the common denominator. Find the multiple by dividing the common denominator by each denominator.
Then, multiply both the numerator and denominator by the multiple to find the equivalent fractions with matching denominators.
For example, let’s convert the fractions 13 and 14 to fractions with the same denominator.
13 = 1 × 43 × 4 = 412
14 = 1 × 34 × 3 = 312
Step Two: Add or Subtract the Numerators
Once the denominators are all the same, adding and subtracting fractions is as simple as adding or subtracting the numerators.
To add the fractions, add the numerators together and put them over the common denominator.
To subtract, find the difference between the numerators and put the difference over the common denominator.
For example, continuing the previous example, let’s add 412 & 312.
412 + 312 = 4 + 312 = 712
Step Three: Simplify the Fraction
The final step to adding or subtracting fractions is to simplify the result fraction. Start by finding the greatest common factor of both the numerator and the denominator. Learn more about finding the greatest common factor for more details.
Then, divide both the numerator and denominator by the greatest common factor to reduce. Or, just use our fraction simplifier to simplify and see all the work needed to do so.
How to Multiply Fractions
Multiplying two fractions is quite a bit simpler than adding or subtracting by following two easy steps.
Step One: Multiply the Numerators and Denominators
The first step is to multiply the numerators together and multiply the denominators together. The result might be an improper fraction, but we’ll reduce it in the next step.
For example, let’s multiply 23 × 34.
23 × 34 = (2 × 3)(3 × 4)
23 × 34 = 612
Step Two: Simplify the Fraction
Like adding and subtracting, the final step of multiplying fractions is to simplify. To simplify, find the numerator and denominator’s greatest common factor, then divide both of them by the common factor.
To simplify 612, find the greatest common factor.
The greatest common factor of 6 and 12 is 6.
Next, divide both the numerator and denominator by the greatest common factor.
612 = (6 ÷ 6)(12 ÷ 6)
612 = 12
How to Divide Fractions
There are two steps to divide one fraction by another.
Step One: Multiply Each Numerator by the Opposite Denominator
To divide one fraction by another, start by multiplying the first numerator by the second denominator. Then multiply the second numerator by the first denominator.
For example, let’s divide 23 by 34.
23 ÷ 34= (2 × 4)(3 × 3)
23 ÷ 34= 89
Step Two: Simplify the Fraction
Just like when multiplying fractions, the final step of dividing them is to simplify the fraction. See the instructions to simplify a fraction above.
How to Calculate Mixed Fractions
Mixed fractions might seem intimidating, but the process of calculating them is nearly the same as a normal fraction with one extra step.
The first thing to do when calculating a mixed fraction is to remove the whole number and increase the numerator.
Start by multiplying the whole number by the denominator.
Then, add the result to the numerator in the remaining fraction.
Continue following the steps above to calculate fractions after moving the result to the numerator.
For example, let’s convert the mixed fraction 2 25 to a whole number.
Multiply the whole number by the denominator.
2 × 5 = 10
Add the result to the numerator.
10 + 2 = 12
Rewrite the fraction.
2 25 = 125
Check out our complete suite of fraction math tools.