Question

What is the difference of the fractions? Use the number line to help find the answer.

Answer 1

Answer:

Option 'b' i.e. -11/20 is the correct option.

Thus,

$\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}$

Step-by-step explanation:

Given the expression

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

Determining the difference of the fractions

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

The Least Common Multiplier of 5, 4 is 20. Thus, adjust the fractions based on the L.C.M.

$\frac{1}{5}-\frac{3}{4}=\frac{4}{20}-\frac{15}{20}$

Apply the fraction rule:  $\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

          $=\frac{4-15}{20}$

Add the number: 4-15 = -11

           $=\frac{-11}{20}$

Apply the fraction rule:  $\frac{-a}{b}=-\frac{a}{b}$

            $=-\frac{11}{20}$

Please check the attached figure, where the pointing-down arrow is representing the correct answer which is -11/20.

Therefore, option 'b' i.e. -11/20 is the correct option.

Thus,

$\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}$