Question

$\frac{k}{2} \times \frac{3}{7} = 2 \times \frac{4}{5} of 1 \times \frac{1}{4}$
we need to find k​

Answer 1

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$\longrightarrow \sf \sf \frac{k}{2} \times \frac{3}{7} = 2 \times \frac{4}{5} \: of \: 1 \times \frac{1}{4} \\ \\\longrightarrow \sf \sf \frac{k}{2} \times \frac{3}{7} = 2 \times \frac{4}{5} \times 1\times \frac{1}{4} \\ \\ \longrightarrow \sf \frac{3k}{14} =\frac{2}{5} \\ \\\longrightarrow \sf k = \frac{2}{5} \times \frac{14}{3} \\ \\ \longrightarrow \boxed{ \sf k = \frac{28}{15}}$

Answer 2

Answer:

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Step-by-step explanation:

$\frac{k}{2} \times \frac{3}{7} = 2 \times \frac{4}{5} \: of \: 1 \times \frac{1}{4} \\ \frac{3k}{14} = \frac{8}{5} \times \frac{1}{4} \\ \\ \frac{3k}{14} = \frac{2}{5} \\ cross \: multiply \\ 3k \times 5 = 2 \times 14 \\ 15k = 28$

$k \: = \frac{28}{15}$