Question

By what number (- 15)^-1 should be multiplied so that the product
may be equal to (- 12)^-1 ?​

Answer 1

Solution:

Let the number be x.

${ - 15}^{ - 1} \times x = { - 12}^{ - 1} \\ { \frac{</strong><strong>-</strong><strong>1}{15}}^{1} \times x = { \frac{</strong><strong>-</strong><strong>1}{12} }^{1} \\ \frac{</strong><strong>-</strong><strong>1}{15} \times x = \frac{</strong><strong>-</strong><strong>1}{12} \\ x = \frac{</strong><strong>-</strong><strong>1}{12} \div \frac{</strong><strong>-</strong><strong>1}{15} \\ x = \frac{</strong><strong>-</strong><strong>1}{12} \times </strong><strong>-</strong><strong>15 \\ x = \frac{</strong><strong>15}{12} \\ x = \frac{5}{4}$