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

\(\frac{105}{34 }\)

B) \(\frac{15}{34 }\)

C) \(\frac{115}{27 }\)

D) \(\frac{105}{3 }\)

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2 Answers

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 \(\cfrac1{\frac{34}{105}}\) \(=\frac{105}{34}.\)

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

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