Question

The product of two rational number is 15 by 16 if one of the number is minus 5 by 48 find the other

Answer 1

$given$

product of 2 rational number =

$\frac{15}{16}$

1st rational number=

$\frac{ - 5}{48}$

$to \: find$

2nd rational number

$solution$

Let us consider that 2nd rational number be x

therefore,

$\frac{ - 5}{48} \times x = \frac{15}{16}$

$x = \frac{15}{16} \div \frac{ - 5}{48}$

*(Note =To convert divide into multiply we have to do reciprocal)

$x = \frac{15}{16} \times \frac{ - 48}{5}$

cross multiplying each other

$x = 3 \times - 3$

$x = - 9$

$proof$

$\frac{ - 5}{48} \times - 9 = \frac{45}{48}$

$dividing \: \frac{45}{48} \: by \: 3$

therefore,

$\frac{45}{48 } \times \frac{3}{3}$

$\frac{15}{16}$

proved✅