Question

Translate the following equation into a sentence:

$\frac{2}{5}v+\frac{3}{4}=\frac{2}{3}{x}^2$

Short answer

The sentence for the equation $\frac{2}{5}v+\frac{3}{4}=\frac{2}{3}{x}^2$is:

“The sum of two-fifth of a variable v and quotient of 3 and 4 is equal to two-third of a squared variable x”.

Step-by-step solution

Step 1. Given information.

The given equation is:

$\frac{2}{5}v+\frac{3}{4}=\frac{2}{3}{x}^2$

Here v and x are different variables.

Step 2. Break the terms and write sentences.

The term “$\frac{2}{5}v$” is written as two-fifth of a variable v. So, the expression “$\frac{2}{5}v+\frac{3}{4}$” refers to the sum of two-fifth of a variable v and quotient of 3 and 4.

The expression “$\frac{2}{3}{x}^2$” refers to two-third of a squared variable x.

Step 3. Write the complete sentence.

The sentence for the equation $\frac{2}{5}v+\frac{3}{4}=\frac{2}{3}{x}^2$written as in below:

The sum of two-fifth of a variable v and quotient of 3 and 4 is equal to two-third of a squared variable x.