3 equivalent fractions for 10/13
Here is the answer to questions like: 3 equivalent fractions for 10/13 or What are the equivalent fractions for: 10/13?
This Equivalent Fractions Calculator will show you, step-by-step, equivalent fractions to any fraction you input.
See below the step-by-step solution on how to find equivalent fractions.
How to find equivalent fractions?
Two frations are equivalent when they are both equal when written in lowest terms. The fraction 20/26 is equal to 10/13 when reduced to lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (10/13) by the same interger number, ie, multiply by 2, 3, 4, 5, 6 ...
- 20/26 is equivalent to 10/13 once 10 x 2 = 20 and 13 x 2 = 26
- 30/39 is equivalent to 10/13 once 10 x 3 = 30 and 13 x 3 = 39
- 40/52 is equivalent to 10/13 once 10 x 3 = 40 and 13 x 3 = 52
At a glance, equivalent fractions look different, but if you reduce then to the lowest terms you will get the same value showing that they are equivalent. If a given fraction is not reduced to lowest terms, you can find other equivalent fractions by dividing both numerator and denominator by the same number.
What is an equivalent fraction? How to know if two fractions are equivalent?
Finding equivalent fractions can be ease if you use this rule:
Equivalent fractions definition: two fractions (a/b and c/d) are equivalent only if the product (multiplication) of the numerator (a) of the first fraction and the denominator (d) of the other fraction is equal to the product of the denominator (b) of the first fraction and the numerator (c) of the other fraction.
In other words, if you cross-multiply (a/b = c/d) the equality will remain, i.e, a.d = b.c. So, here are some examples:
- 20/26 is equivalent to 10/13 once 20 x 13 = 26 x 10 = 260
- 30/39 is equivalent to 10/13 once 30 x 13 = 39 x 10 = 390
- 40/52 is equivalent to 10/13 once 40 x 13 = 52 x 10 = 520