Question

2. The product of two rational numbers is 15/26. if one of the number is -5/48, find
the other number.​

Answer 1

Step-by-step explanation:

So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication. Thus, multiplying two rational numbers produces another rational number.

Answer 2

➤ Answer :-

$\dashrightarrow \tt \frac{( - 5)}{48} \times ( \sf x) = \tt\frac{15}{26}$

$\dashrightarrow \tt( \sf x) \tt = \frac{15}{26} \div \frac{( - 5)}{48}$

$\dashrightarrow \tt \frac{ \cancel{15}}{26} \times \frac{48}{ \cancel{( - 5)}} = \frac{3}{26} \times \frac{48}{( - 1)}$

$\dashrightarrow \tt \frac{3}{ \cancel{26}} \times \frac{ \cancel{48}}{( - 1)} = \frac{3}{13} \times \frac{24}{( - 1)}$

$\dashrightarrow \tt \frac{3 \times 24}{13 \times ( - 1)}$

$\dashrightarrow \tt \frac{72}{( - 13)}$

$\Huge\therefore$The other number is $\tt\frac{72}{(-13)}$