Question

Translate the following equation into a sentence:

$\frac{1}{3}-\frac{4}{5}z=\frac{4}{3}{y}^3$

Short answer

The sentence for the equation $\frac{1}{3}-\frac{4}{5}z=\frac{4}{3}{y}^3$is:

“The difference of quotient of 1 and 3 and four-fifth of a variable z is equal to four-third of a cubic variable y”.

Step-by-step solution

Step 1. Given information.

The given equation is:

$\frac{1}{3}-\frac{4}{5}z=\frac{4}{3}{y}^3$

Here z and y are different variables.

Step 2. Break the terms and write sentences.

The term “$\frac{4}{5}z$” is written as four-fifth of a variable z. So, the expression “$\frac{1}{3}-\frac{4}{5}z$” refers to the difference of quotient of 1 and 3 and four-fifth of a variable z.

The expression “$\frac{4}{3}{y}^3$” refers to four-third of a cubic variable y.

Step 3. Write the complete sentence.

The sentence for the equation $\frac{1}{3}-\frac{4}{5}z=\frac{4}{3}{y}^3$written as in below:

The difference of quotient of 1 and 3 and four-fifth of a variable z is equal to four-third of a cubic variable y.