Question

Use the distributive property to find the product of the rational number.
-3/4 ( -1/5 - 3/5)
A. 3/5
B. 4/5
C. 9/20
D. - 3/5

Answer 1

You multiply the fractions and then add the distributed fractions and you then simplify.

The answer is 3/5.

Answer 2

After using distributive property the product of the rational number is equals to $\frac{3}{5}$ .

What is rational number?

" Rational number is defined as the number which is represented in the $\frac{p}{q} , q\neq 0$ form ."

Distributive property

$A ( B \± C) = AB \± AC$

According to the question,

Given product of the rational number,

$\frac{-3}{4}( \frac{-1}{5}-\frac{3}{5})$

Apply distributive property to simplify the given rational number we get,

$(\frac{-3}{4})( \frac{-1}{5})-(\frac{-3}{4}) (\frac{3}{5})\\\\= (\frac{3}{20})+(\frac{9}{20})\\\\= (\frac{12}{20})\\\\= (\frac{3}{5})$

Hence, Option(A) is the correct answer.

Learn more about  rational number here

https://brainly.com/question/15815501

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