The multiplicative inverse of………………… -2/7 x -17/15 is ...........................

Question

The multiplicative inverse of………………… \(\frac{-2}{7}\) x \(\frac{-17}{15}\)   is ...........................

A \(\frac{105}{34 }\)

B) \(\frac{15}{34 }\)

C) \(\frac{115}{27 }\)

D) \(\frac{105}{3 }\)

Answer 1

Correct option is (A) 105/34

\(\frac{-2}{7}\times \frac{-17}{15}\) \(=\frac{-2\times-17}{7\times15}\) \(=\frac{34}{105}\)

\(\therefore\) Multiplicative inverse of \(\frac{-2}{7}\times \frac{-17}{15}\) is \(\cfrac1{\frac{34}{105}}\) \(=\frac{105}{34}.\)

Answer 2

Correct option is   A) \(\frac{105}{34 }\)