Question

find an equivalent form of the rational number having a common denominator for5/7, 3/8, 9/14 and 20/21​

Answer 1

Answer:-

$Given \: rational \: numbers : \frac{5}{7} , \frac{3}{8} , \frac{9}{14} and \: \frac{20}{21}$

LCM of 7, 8, 14 and 21 is 168

$∴ \frac{5}{7} = \frac{5 \times 24}{7 \times 24} = \frac{120}{168}$

$\frac{3}{8} = \frac{3 \times 21}{8 \times 21} = \frac{63}{168}$

$\frac{9}{14} = \frac{9 \times 12}{14 \times 12} = \frac{108}{168}$

$\frac{20}{21} = \frac{20 \times 8}{21 \times 8} = \frac{160}{168}$

$Hence \: the \: equivalent \: form \: is \: \frac{120}{168}, \frac{63}{168} , \\ \frac{108}{168} and \: \frac{160}{168} respectively$

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