Power Calculators

➗ Fraction Calculator (Add, Subtract, Multiply, Divide)

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Enter details

whole
A fraction (3 over 4) or a mixed number (1 whole, 1 over 2). Leave the whole box at 0 for a plain fraction.
whole

Fill in the details and click Calculate to see your results.

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📘 About the Fraction Calculator

A fraction describes part of a whole: the top number (numerator) says how many parts you have and the bottom number (denominator) says how many equal parts make up the whole. A mixed number combines a whole number with a fraction, such as 1 1/2.

Enter two fractions or mixed numbers, choose add, subtract, multiply or divide, and the calculator gives the answer already reduced to lowest terms — plus the same value as a mixed number and as a decimal.

🧮 Formula

Add or subtract
a/b ± c/d = (a×d ± c×b) / (b×d)
Multiply
a/b × c/d = (a×c) / (b×d)
Divide
a/b ÷ c/d = (a×d) / (b×c)
Reduce to lowest terms
divide top and bottom by their greatest common divisor

Where

  • a, c = the numerators (top numbers)
  • b, d = the denominators (bottom numbers; never zero)
  • A mixed number is first turned into an improper fraction: w n/d = (w×d + n) / d
Dividing by a fraction is the same as multiplying by its reciprocal, so you cannot divide by zero (0/anything).

✏️ Worked examples

1/2 + 1/3

You enter
First number1/2
Operation+ Add
Second number1/3
You get
Answer (lowest terms)5/6
As a mixed number5/6
As a decimal0.833333

The common denominator is 6, so 3/6 + 2/6 = 5/6.

Try this example →

2 1/4 − 3/4

You enter
First number2 1/4
Operation− Subtract
Second number3/4
You get
Answer (lowest terms)3/2
As a mixed number1 1/2
As a decimal1.5

2 1/4 is 9/4, and 9/4 − 3/4 = 6/4, which reduces to 3/2.

Try this example →

3/4 ÷ 3/8

You enter
First number3/4
Operation÷ Divide
Second number3/8
You get
Answer (lowest terms)2
As a mixed number2
As a decimal2

Flip the second fraction and multiply: 3/4 × 8/3 = 24/12 = 2.

Try this example →

🧭 How to use this calculator

What you enter

  • First numberA fraction (3 over 4) or a mixed number (1 whole, 1 over 2). Leave the whole box at 0 for a plain fraction.
  • Operation
  • Second number

What you get

  • Answer (lowest terms)
  • As a mixed number
  • As a decimal

❓ Frequently asked questions

How do I add fractions with different denominators?

Rewrite both over a common denominator (multiplying the two denominators always works), add the tops, then reduce. The calculator does all of this and gives the answer in lowest terms.

How do I enter a mixed number like 2 1/4?

Put 2 in the whole-number box and 1 over 4 in the fraction boxes. For a negative mixed number put the minus sign on the whole number, for example -2 1/4.

Why does it say there is no defined answer?

Dividing by a fraction whose numerator is zero (such as 3/4 ÷ 0/5) is dividing by zero, which has no answer.

Why is the answer different from my textbook?

Textbooks sometimes leave answers unreduced or as improper fractions. This calculator always reduces to lowest terms and also shows the mixed-number form so you can match either style.