Question

$..........\times \frac{-2}{5}=1$. Fill in the blanks.

Answer 1

Given,

$..........\times \frac{-2}{5}=1$.

Rational number

A rational number, in Mathematics, can be defined as any number which can be represented in the form of p/q where q ≠ 0. When the rational number is divided, the result will be in decimal form, which may be either terminating decimal or repeating decimal. The set of rational numerals include positive, negative numbers, and zero.

Let '$y$' be the given blank.

So,

$y\times \frac{-2}{5}=1$ ( transpose $\frac{-2}{5}$ to the RHS )

$y=1\times \frac{-5}{2}$

$y=\frac{-5}{2}$

Hence, the answer for given blank is $\frac{-5}{2}$.