Equivalent fractions for 18

calendarMar 19, 2023 · 3 min read  ·
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Equivalent Fractions Calculator

Here is the answer to questions like: 18 or What numbers are equivalent to 18?

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 fractions are equivalent when they are both equal when written in lowest terms. The fraction 362 is equal to 181 when reduced to lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (181) by the same natural number, ie, multiply by 2, 3, 4, 5, 6 ...

Important: 181 looks like a fraction but it is actually the whole number 18.

  • 362 is equivalent to 181 because 18 × 21 × 2 = 362
  • 543 is equivalent to 181 because 18 × 31 × 3 = 543
  • 724 is equivalent to 181 because 18 × 41 × 4 = 724
  • 905 is equivalent to 181 because 18 × 51 × 5 = 905
  • and so on ...

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 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:

  • 362 is equivalent to 181 because 36 × 1 = 2 × 18 = 36
  • 543 is equivalent to 181 because 54 × 1 = 3 × 18 = 54
  • 724 is equivalent to 181 because 72 × 1 = 4 × 18 = 72

Equivalent Fractions Table / Chart

This Equivalent Fractions Table/Chart contains common practical fractions. You can easily convert from fraction to decimal, as well as, from fractions of inches to millimeters.

Reference:

  • [1] How to Find Equivalent Fractions

Equivalent Fractions - Samples

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