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.
If you have negative fractions insert a minus sign before the numerator. So if one of your fractions is -6/7, insert -6 in the numerator and 7 in the denominator.
Sometimes math problems include the word "of," as in What is 1/3 of 3/8? Of means you should multiply so you need to solve 1/3 × 3/8.
To do math with mixed numbers (whole numbers and fractions) use the Mixed Numbers Calculator.
Math on Fractions with Unlike Denominators
There are 2 cases where you need to know if your fractions have different denominators:
if you are adding fractions
if you are subtracting fractions
How to Add or Subtract Fractions
Find the least common denominator
You can use the LCD Calculator to find the least common denominator for a set of fractions
For your first fraction, find what number you need to multiply the denominator by to result in the least common denominator
Multiply the numerator and denominator of your first fraction by that number
Repeat Steps 3 and 4 for each fraction
For addition equations, add the fraction numerators
For subtraction equations, subtract the fraction numerators
Convert improper fractions to mixed numbers
Reduce the fraction to lowest terms
How to Multiply Fractions
Multiply all numerators together
Multiply all denominators together
Reduce the result to lowest terms
How to Divide Fractions
Rewrite the equation as in "Keep, Change, Flip"
Keep the first fraction
Change the division sign to multiplication
Flip the second fraction by switching the top and bottom numbers
Multiply all numerators together
Multiply all denominators together
Reduce the result to lowest terms
Fraction Formulas
There is a way to add or subtract fractions without finding the least common denominator (LCD). This method involves cross multiplication of the fractions. See the formulas below.Step-by-step explanation:
