Equivalent fractions for 40/9
Equivalent Fractions Calculator
Here is the answer to questions like: 40/9 or What numbers are equivalent to 40/9?
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 do you find equivalent fractions?
Two fractions are equivalent when they are both equal when written in lowest terms. The fraction 8018 is equal to 409 when reduced to lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (409) by the same natural number, ie, multiply by 2, 3, 4, 5, 6 ...
- 8018 is equivalent to 409 because 40 × 29 × 2 = 8018
- 12027 is equivalent to 409 because 40 × 39 × 3 = 12027
- 16036 is equivalent to 409 because 40 × 49 × 4 = 16036
- 20045 is equivalent to 409 because 40 × 59 × 5 = 20045
- 24054 is equivalent to 409 because 40 × 69 × 6 = 24054
- and so on ...
At a glance, equivalent fractions look different, but if you reduce them to the lowest terms, you will get the same value, showing that they are equivalent. If a given fraction is not reduced to the lowest terms, you can find other equivalent fractions by dividing both numerator and denominator by the same number.
What is an equivalent fraction? How do we know if two fractions are equivalent?
Finding equivalent fractions can be easy if you use this rule:
Equivalent fractions definition: two fractions ab and cd 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 (ab and cd), the equality will remain, i.e., a.d = b.c. So here are some examples:
- 8018 is equivalent to 409 because 80 × 9 = 18 × 40 = 720
- 12027 is equivalent to 409 because 120 × 9 = 27 × 40 = 1080
- 16036 is equivalent to 409 because 160 × 9 = 36 × 40 = 1440