Math, asked by mayur8630, 7 months ago

which is greater? (1/2) of (6/7) or (2/3) 0f (3/7) ​

Answers

Answered by Afnaan12304
0

Answer:

1/2 of 6/7 is greater

Step-by-step explanation:

1/2*6/7= 6/14

2/3*3/7= 6/21

Numerator of 1st is 126

and 2nd's = 84

126>84

Answered by MasterDhruva
4

➤ Answer :-

 \dashrightarrow \sf \frac{1}{2}  \: of \:  \frac{6}{7}  \\

 \dashrightarrow \sf \frac{1}{2}  \times  \frac{6}{7}  =  \frac{1 \times 6}{2 \times 7}  \\

 \dashrightarrow \sf \frac{6}{14}  \\

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

 \dashrightarrow \sf \frac{2}{3}  \: of \:  \frac{3}{7}  \\

 \dashrightarrow \sf \frac{2}{3}  \times  \frac{3}{7}  =  \frac{2 \times 3}{3 \times 7}  \\

 \dashrightarrow \sf \frac{6}{21}  \\

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

 \dashrightarrow \sf \frac{6}{14}  \: ; \:  \frac{6}{21}  \\

LCM of 14 and 21 is 42.

 \dashrightarrow \sf \frac{6 \times 3}{14 \times 3}  \: ; \:  \frac{6 \times 2}{21 \times 2}  \\

 \dashrightarrow \sf \frac{18}{42}  \:  \boxed{ > } \:  \frac{12}{42}  \\

 \dashrightarrow \sf \frac{1}{2}  \: of \:  \frac{6}{7}  \:  \boxed{ > } \:  \frac{2}{3}  \: of \:  \frac{3}{7}  \\

\Huge\therefore\sf\frac{1}{2} \: of \: \frac{6}{7} \\ is greater.

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