Question

The product of two rational number is_7/8 . If one is 1 /_6 find the other

Answer 1

Answer:

$let \: the \: other \: rational \: number \: be \: x \\ product \: of \: two \: rational \: number \: is \: \frac{7}{8 } \\ one \: of \: the \: number \: is \: \frac{1}{6} \\ according \: to \: question \\ x + \frac{1}{6 } = \frac{7}{8} \\ \frac{6x + 1}{6} = \frac{7}{8 } \\ 6x + 1 = \frac{7}{8} \times 6 \\ 6x = \frac{21}{4 } - 1 \\ 6x = \frac{21 - 4}{4 } \\ x = \frac{17}{4 \times 6 } \\ x = \frac{17}{24 } \: ans$