Question

1. Write the multiplicative inverse of(1/6 +4/9)x4/3.​

Answer 1

• GIVEN:-

$\large{\sf{(\frac{1}{6}+\frac{4}{9})\:\times\:\frac{4}{3}}}$

• To Find:-

Multiplicative Inverse.

• SOLUTION:-

According to the question,

$\large\Longrightarrow{\sf{(\frac{1}{6}+\frac{4}{9})\:\times\:\frac{4}{3}}}$

$\large\Longrightarrow{\sf{(\frac{3+8}{18})\:\times\:\frac{4}{3}}}$

$\large\Longrightarrow{\sf{\frac{11}{18}\:\times\:\frac{4}{3}}}$

$\large\Longrightarrow{\sf{\frac{22}{27}}}$

$\large\pink\therefore\boxed{\sf{\pink{\frac{22}{27}}}}$

Now the multiplicative inverse is,

$\large\Longrightarrow{\sf{\frac{27}{22}}}$

$\large\blue\therefore\boxed{\sf{\blue{Multiplicative\: Inverse\: is \:\: \frac{27}{22}}}}$

• More to know:-

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number.

Answer 2

GIVEN:-

$\large{\sf{(\frac{1}{6}+\frac{4}{9})\:\times\:\frac{4}{3}}}$

To Find:-

Multiplicative Inverse.

SOLUTION:-

According to the question,

$\large\Longrightarrow{\sf{(\frac{1}{6}+\frac{4}{9})\:\times\:\frac{4}{3}}}$

$\large\Longrightarrow{\sf{(\frac{3+8}{18})\:\times\:\frac{4}{3}}}$

$\large\Longrightarrow{\sf{\frac{11}{18}\:\times\:\frac{4}{3}}}$

$\large\Longrightarrow{\sf{\frac{22}{27}}}$

$\large\red\therefore\boxed{\sf{\red{\frac{22}{27}}}}$

Now the multiplicative inverse is,

$\large\Longrightarrow{\sf{\frac{27}{22}}}$

$\large\green\therefore\boxed{\sf{\green{Multiplicative\: Inverse\: is \:\: \frac{27}{22}}}}$