Question

7. The product of a fraction and sum of 3 ⅕ and 3¹/¹⁰ is ⁹/¹⁰
Find the fraction.​

Answer 1

Step-by-step explanation:

$question \: : \: the \: product \: of \: a \: fraction \: and \: the \: the \: sum \: of \: 3 \frac{1}{5} \: and \: 3\frac{1}{10} \: is \: \frac{9}{10} \\ find \: the \: fraction.$

$solution: \: \: \frac{16}{5} + \frac{31}{10} = \frac{32 + 31}{10} \\ \: = \frac{63}{10} \\ let \: the \: fraction \: be \: x \\ then \: \: x \times \frac{63}{10} = \frac{9}{10} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x \times 63 = \frac{9}{10} \times 10 \\ \: \: \: \: \: \: \: \: \: \: \: \: x \times 63 = 9 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{9}{63} \\ therefore \: the \: fraction \: is \: \frac{9}{63}$

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