A triangle is divided into 4 equal parts and 3 out of it are painted red, whereas a square is divided into 8 equal parts, and 7 out of them are painted red. which of the shaded part represent a bigger fraction?

Given,

A triangle is divided into 4 equal parts and 3 out of it are painted red.

The shaded part in fraction is represented by the total number of shaded parts by the total number of parts.

The shaded part of triangle = $\frac{3}{4}$

A square is divided into 8 equal parts and 7 out of it are painted red.

The shaded part of square = $\frac{7}{8}$

To compare $\frac{3}{4}$ and $\frac{7}{8}$, we have to convert them to like fractions.

LCM of 4 and 8 is 8.

Therefore,

$\frac{3}{4}$ = $\frac{3\times2}{4\times2}$ = $\frac{6}{8}$

$\frac{7}{8}$= $\frac{7}{8}$

$\frac{7}{8}$ > $\frac{6}{8}$i.e., $\frac{7}{8}$ > $\frac{3}{4}$

The shaded part of the square is bigger than the shaded part of the triangle.

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Updated on: 10-Oct-2022

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