# 5th Class Mathematics Fractions Lowest or Simplest Form of a Fraction

Lowest or Simplest Form of a Fraction

Category : 5th Class

### Lowest or Simplest Form of a Fraction

When HCF of numerator and denominator of a fraction is 1, the fraction is in its simplest or lowest form.

For example: The fraction $\frac{5}{7}$is in its simplest form as HCF of 5 and 7 is 1. Is the fraction $\frac{27}{72}$ in its lowest form?

Solution:

HCF of 27 and 72 is 9. Therefore, the fraction $\frac{27}{72}$ is not in its simplest form. How to Reduce a Fraction into Lowest Form

To reduce a fraction into its lowest form, numerator and denominator of the fraction is divided by their HCF. The resulting fraction is the reduced form of the given fraction. Reduce the fraction $\frac{16}{38}$into its lowest form.

Solution:

HCF of 16 and 38 = 2

Now divide both numerator and the denominator by $2\frac{16\div 2}{38\div 2}=\frac{8}{19}$

Thus $\frac{8}{19}$is the reduced form of$\frac{36}{38}.$

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