Question

7. The product of two rational numbers is 7/8. If one of numbers is 5/14, find the
other number. (Ch Rational Numbers.)​

Answer 1

Step-by-step explanation:

${\red{\underline{\underline{\bold{Given:-}}}}}$

• The product of two numbers = $\frac{7}{8}$

• One of the numbers = $\frac{5}{14}$

${\blue{\underline{\underline{\bold{To\:Find:-}}}}}$

• The other number

${\green{\underline{\underline{\bold{Solution:-}}}}}$

Let the other number be ' x '

According to the question

$\frac{5}{14} \times x = \frac{7}{8} \\ \\ \implies x = \frac{7}{8} \times \frac{14}{5} \\ \\ \implies x = \frac{7}{4} \times \frac{7}{5} \\ \\ \implies x = \frac{49}{20}$

${\pink{\underline{\underline{\bold{Verification:-}}}}}$

$\frac{5}{14} \times x = \frac{7}{8} \\ \\ \implies \frac{5}{14} \times \frac{49}{20} = \frac{7}{8} \\ \\ \implies \frac{7}{2 \times 4} = \frac{7}{8} \\ \\ \implies \frac{7}{8} = \frac{7}{8}$

L.H.S = R.H.S

Hence proved

Therefore:-

$\boxed{The\:other\:number\: = \frac{49}{20}}$