Question

Negative two thirds of a number is eight fifths. What is the number?

Answer 1

The required number is $x=- \frac{12}{5}$

Step-by-step explanation:

We need to find the number while given:

Negative two thirds of a number is eight fifths.

Writing it in mathematical expression:

Let number = x

Negative two thirds = -2/3

eight fifths = 8/5

So, expression becomes:

$-\frac{2}{3}x= \frac{8}{5}$

Solving to find the number:

$-\frac{2}{3}x= \frac{8}{5}\\Multiply\,\,both\,\,sides\,\,by\,\,\frac{-3}{2} \\x= \frac{8}{5}\times \frac{-3}{2}\\x= \frac{4}{5}\times -3\\x=- \frac{12}{5}$

So, the required number is $x=- \frac{12}{5}$

Keywords: Solving Expressions

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