Question

is 8/9 is the multiplicative inverse of
$- 1 \: \frac{1}{8} ..why \: or \: not \: why \: not$
explain carefully
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Answer 1

Answer:-

Here,

$- 1 \frac{1}{8} = \frac{(( - 8) \times ( - 1)) + 1}{8} \\ = \frac{ - 8 + 1}{8} = \frac{ - 7}{8}$

$The \: reciprocal \: of \: \frac{ - 7}{8} = \frac{ - 8}{7}$

Therefore,8/9 can't be the reciprocal of -7/8 or -1 1/8

Answer 2

Hi there !!

The multiplicative inverse of a fraction a/b is b/a.

$- 1 \frac{1}{8} = \frac{ - 1 \times 8 + 1}{8} \\ \\ = \frac{ - 7}{8}$

Multiplicative inverse should be -8/7

So, 8/9 will not multiplicative inverse of this number.

Thankyou :)