5th Class Mathematics Fractions Equivalent Fractions

Equivalent Fractions

Category : 5th Class

Equivalent Fractions

Two or more fractions are said to be equivalent fractions if they have the same value. In other word s when equivalent fractions are reduced into their simplest form, they give the same fraction. For example, $\frac{10}{15},\frac{20}{30},\frac{30}{45},\frac{40}{60}...$ etc. are equivalent fractions.

Are the fractions$\frac{24}{27}$and$\frac{8}{9}$equivalent fractions?

Solution:

The simplest form of $\frac{24}{27}=\frac{8}{9}.$Therefore, $\frac{24}{27}$ and $\frac{8}{9}$are equivalent fractions.

How to Find Equivalent Fractions of a Given Fraction

Multiply both the numerator and denominator of the given fraction by a common number.

Find three equivalent fractions of$\frac{6}{7}.$

Solution:

(a)$\frac{6}{7}=\frac{6\times 2}{7\times 2}=\frac{12}{14}$

(b)$\frac{6}{7}=\frac{6\times 3}{7\times 3}=\frac{18}{21}$

(c)$\frac{6}{7}=\frac{6\times 4}{7\times 4}=\frac{24}{28}$

Thus $\frac{12}{14},\frac{18}{21}$and $\frac{24}{28}$are equivalent fractions of $\frac{6}{7}.$

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