Q1) Find the product of 5/7 and the multiplicative inverse of -5/14
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Answer:
According to the question, we need to multiply \frac{2}{11}
11
2
by the reciprocal of \frac{-5}{14}
14
−5
;
The reciprocal of \frac{-5}{14}
14
−5
is \frac{-14}{5}
5
−14
;
Now, moving on with the calculation;
\frac{2}{11}
11
2
× \frac{-14}{5}
5
−14
= [2 × (-14)] ÷ [11 × 5]
= \frac{-28}{55}
55
−28
Ans) On multiplying \frac{2}{11}
11
2
with the reciprocal of \frac{-5}{14}
14
−5
, we get \frac{-28}{55}
55
−28
(A simple calculation; keep in mind that on reciprocating a negative fraction, the minus sign will always remain with the numerator)
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