You can use this calculator to perform a range of fraction calculations. It will add, subtract, multiply or divide two fractions. Optionally, you can
choose to reduce the result to the lowest common denominator.
- Enter the numerator and denominator values for each of your 2 fractions.
- To enter a whole number, use 1 as the denominator. For example, to enter 3 use 3⁄1.
- Use the + v dropdown setting to choose the operation — either addition, subtraction, multiplication or
- Check the box if you want to reduce the result to the lowest common denominator.
- Click the = button to see your result.
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- The numerator is the top value of a fraction and denominator is the bottom. For example, in the fraction 2⁄3 the numerator
is 2 and the denominator is 3. This means 2 divided by 3 and represents 2 pieces of a whole divided into 3 equally sized pieces.
- The lowest common denominator is the smallest common multiple for the denominators of two or more fractions. For example, the fractions
4⁄6 and 6⁄9 have a lowest common denominator of 3 and can both be reduced to
2⁄3, which has the same value.
- Fractions can also be shown as a decimal or percentage. For example, 3⁄10 is the same value as 0.3 or 30%.
- Percentages represent a fraction of 100. For example, 30% represents 30⁄100 or 30 divided by 100.
- The reciprocal of a fraction swaps the numerator and denominator. For example, the reciprocal of 2⁄3 is
3⁄2. If you multiply a fraction by its reciprocal, the result will always equal 1.
- Fractions can be classed as proper or improper. If the numerator and denominator are both positive, a proper fraction has a numerator less than
the denominator. Otherwise, the fraction is improper because the result includes an integer value. For example, 5⁄4 is an
improper fraction because it should be expressed as 11⁄4.