Question

By what number should 5(5/8)
be multiplied to get 37(1/2)

pls help and tell me​

Answer 1

$\huge\bold\red{꧁✒Question᭄࿐꧂ }$

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By what number should $5 \times \frac{5}{8}$ be multiplied to get $37 \times \frac{1}{2}$

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$\huge\bold\red{꧁✒Answer᭄࿐꧂ }$

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Let the multiplied number be x.

$5 \times \frac{5}{8} \times x = 37 \times \frac{1}{2} \\ \\ \frac{45}{8} \times x = \frac{75}{2} \\ \\ x = \frac{75}{2} \div \frac{45}{8} \\ \\ x = \frac{75}{2} \times \frac{8}{45} \\ \\ x = \frac{15}{1} \times \frac{4}{9} \\ \\ x = \frac{5}{1} \times \frac{4}{3} \\ \\ x = \frac{20}{3} \\ \\ x = 6 \times \frac{2}{3}$

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Therefore, the value of x is $6 \times \frac{2}{3}$

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