Multiply fraction by fraction
Online calculator — enter the values and get the result instantly, with the formula and a worked example.
a, c, e = numerator
b, d, f = denominator
-- = fraction line
Multiplying fractions is the operation of combining two or more fractions into a single fraction that represents a part of a part. Unlike adding or subtracting fractions, it does not require a common denominator, which makes it one of the most straightforward operations you can do with fractions. You simply multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. A helpful shortcut is to cancel common factors before multiplying, so the result comes out already simplified. Taking a fraction of a fraction always makes the value smaller when both are proper fractions, because you are keeping only a portion of a portion. The word "of" is the everyday clue for this operation, as in finding two thirds of a half. It shows up constantly in real life, from scaling a recipe down or up, to calculating discounts, probabilities and proportions. Mastering it is essential groundwork for algebra, ratios and later work with rational expressions.
Product of fractions
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Change the fractions — the bars show their size and the product
Worked example
numeratorA is 1
denominatorA is 2
numeratorB is 2
denominatorB is 5
| 1 | 2 | 1 | ||
| ---- | * | ---- | = | ----- |
| 2 | 5 | 5 |
When multiplying fractions, we multiply numerators A and B and denominators A and B.
Common numerator is then
1/2=5
Common denominator is then
2*5=10
Since both the common numerator and the common denominator are divisible by 2, the whole fraction is simplified to its basic form.
Common numerator
2/2=1
Common denominator
10/2=5
