Question

Multiply 2/3 by the reciprocal of -4/5

Answer 1

Reciprocal: A number we multiply to get the number 1 is known as a reciprocal.

To get the reciprocal of a number, we divide 1 by the number.

$1 / \frac{-4}{5} = 1*\frac{-5}{4} = \frac{-5}{4}$

∴ Reciprocal of $\frac{-4}{5}$ is $\frac{-5}{4}$.

Now we have to multiply $\frac{2}{3}$ and $\frac{-5}{4}$.

$\frac{2}{3} *\frac{-5}{4}$

(Both the methods of multiplying rational number is appropriate you can choose anyone.)

Method 1:

Directly multiply the numerator and denominators and later simply it into its lowest form.

$\frac{2}{3} *\frac{-5}{4} =\frac{-10}{12} =\frac{-5}{6}$

Method 2:

Simplify the numerators and denominators and then multiply.

$\frac{2/2}{3}*\frac{-5}{4/2} = \frac{1}{3}*\frac{-5}{2} =\frac{-5}{6}$

∴ When we multiply $\frac{2}{3}$ by the reciprocal of $\frac{-4}{5}$ we get $\frac{-5}{6}$.

Answer 2

Answer:

30.Multiply

by the reciprocal of−