Question

which is greater 2/3 of 8 or 2/3 diveded by 8 ​

Answer 1

➣ AnSwer :-

2/3 of 8

$\longrightarrow \sf \: \frac{2}{3} \times \frac{8}{1}$

$\longrightarrow \sf \: \frac{16}{3}$

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2/3 ÷ 8

$\longrightarrow \sf \: \frac{2}{3} \div \frac{8}{1} = \frac{2}{3} \times \frac{1}{8}$

$\longrightarrow \sf \: \frac{2}{24}$

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Now,

$\longrightarrow \sf \frac{16}{3} \boxed{?} \frac{2}{24}$

LCM of 3 and 24 is 24.

$\longrightarrow \sf \: \frac{16 \times 8}{3 \times 8} \: \boxed{?} \: \frac{2}{24}$

$\longrightarrow \sf \frac{128}{24} \boxed{ > } \frac{2}{24}$

Therefore,2/3 of 8 is greater than 2/3 ÷ 8.

Answer 2

➤ Answer :-

1. $\tt\frac{2}{3}$ of 8......

$\longmapsto \tt \: \frac{2}{3} \times 8$

$\longrightarrow \tt \: \frac{2}{3} \times \frac{8}{1} = \frac{2 \times 8}{3 \times 1}$

$\longmapsto \tt \: \frac{16}{3}$

2. $\tt\frac{2}{3}$ divided by 8.

$\longmapsto \sf \: \frac{2}{3} \div 8 = \frac{2}{3} \div \frac{8}{1}$

$\longmapsto \tt \: \frac{2}{3} \times \frac{1}{8} = \frac{2 \times 1}{3 \times 8}$

$\longmapsto \tt \cancel \frac{2}{24} = \frac{1}{12}$

Now,

$\longmapsto \tt \: \frac{1}{12} \boxed{?} \frac{16}{3}$

LCM of 12 and 3 is 12.

$\longmapsto \tt \: \frac{1}{12} \boxed{?} \frac{16 \times 4}{3 \times 4}$

$\longmapsto \tt \: \frac{1}{12} \boxed{ < } \frac{64}{12}$

$\huge\therefore$2/3 of 8 is smaller than 2/3 diveded by 8 .