Add or Subtract Fractions With the Same Denominator and Simplification Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Add or Subtract Fractions With the Same Denominator and Simplification. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - Add $\frac{4}{8}$ + $\frac{6}{8}$

Answer : C

Explanation

Step 1:

Since denominators are same, adding the numerators

$\frac{6}{8}$ + $\frac{4}{8}$ = $\frac{(4+6)}{8}$ = $\frac{10}{8}$

Step 2:

Reducing to the lowest terms, $\frac{10}{8}$ = $\frac{5}{4}$

Step 3:

So, $\frac{4}{8}$ + $\frac{6}{8}$ = $\frac{5}{4}$

Q 2 - Subtract $\frac{7}{6}$ − $\frac{4}{6}$

Answer : A

Explanation

Step 1:

Since denominators are same, subtracting the numerators

$\frac{7}{6}$ − $\frac{4}{6}$ = $\frac{(7−4)}{6}$ = $\frac{3}{6}$

Step 2:

Reducing to the lowest terms, $\frac{3}{6}$ = $\frac{1}{2}$

Step 3:

So, $\frac{7}{6}$ − $\frac{4}{6}$ = $\frac{1}{2}$

Q 3 - Add $\frac{3}{4}$ + $\frac{7}{4}$

Answer : D

Explanation

Step 1:

Since denominators are same, adding the numerators

$\frac{3}{4}$ + $\frac{7}{4}$ = $\frac{(3+7)}{4}$ = $\frac{10}{4}$

Step 2:

Reducing to the lowest terms, $\frac{10}{4}$ = $\frac{5}{2}$

Step 3:

So, $\frac{3}{4}$ + $\frac{7}{4}$ = $\frac{5}{2}$

Q 4 - Subtract $\frac{7}{9}$ − $\frac{4}{9}$

Answer : A

Explanation

Step 1:

Since denominators are same, subtracting the numerators

$\frac{7}{9}$ − $\frac{4}{9}$ = $\frac{(7−4)}{9}$ = $\frac{3}{9}$

Step 2:

Reducing to the lowest terms, $\frac{3}{9}$ = $\frac{1}{3}$

Step 3:

So, $\frac{7}{9}$ − $\frac{4}{9}$ = $\frac{1}{3}$

Q 5 - Subtract $\frac{10}{12}$ − $\frac{7}{12}$

Answer : B

Explanation

Step 1:

Since denominators are same, subtracting the numerators

$\frac{10}{12}$ − $\frac{7}{12}$ = $\frac{(10−7)}{12}$ = $\frac{3}{12}$

Step 2:

Reducing to the lowest terms, $\frac{3}{12}$ = $\frac{1}{4}$

Step 3:

So, $\frac{10}{12}$ − $\frac{7}{12}$ = $\frac{1}{4}$

Q 6 - Add $\frac{2}{3}$ + $\frac{7}{3}$

Answer : C

Explanation

Step 1:

Since denominators are same, adding the numerators

$\frac{2}{3}$ + $\frac{7}{3}$ = $\frac{(2+7)}{3}$ = $\frac{9}{3}$

Step 2:

Reducing to the lowest terms, $\frac{9}{3}$ = $\frac{3}{1}$ = 3

Step 3:

So, $\frac{2}{3}$ + $\frac{7}{3}$ = $\frac{3}{1}$ = 3

Q 7 - Subtract $\frac{8}{6}$ − $\frac{4}{6}$

Answer : A

Explanation

Step 1:

Since denominators are same, subtracting the numerators

$\frac{8}{6}$ − $\frac{4}{6}$ = $\frac{(8−4)}{6}$ = $\frac{4}{6}$

Step 2:

Reducing to the lowest terms, $\frac{4}{6}$ = $\frac{2}{3}$

Step 3:

So, $\frac{8}{6}$ − $\frac{4}{6}$ = $\frac{2}{3}$

Q 8 - Add $\frac{4}{8}$ + $\frac{2}{8}$

Answer : D

Explanation

Step 1:

Since denominators are same, adding the numerators

$\frac{4}{8}$ + $\frac{2}{8}$ = $\frac{(4+2)}{8}$ = $\frac{6}{8}$

Step 2:

Reducing to the lowest terms, $\frac{6}{8}$ = $\frac{3}{4}$

Step 3:

So, $\frac{4}{8}$ + $\frac{2}{8}$ = $\frac{3}{4}$

Q 9 - Add $\frac{2}{15}$ + $\frac{3}{15}$

Answer : C

Explanation

Step 1:

Since denominators are same, adding the numerators

$\frac{2}{15}$ + $\frac{3}{15}$ = $\frac{(2+3)}{15}$ = $\frac{5}{15}$

Step 2:

Reducing to the lowest terms, $\frac{5}{15}$ = $\frac{1}{3}$

Step 3:

So, $\frac{2}{15}$ + $\frac{3}{15}$ = $\frac{1}{3}$

Q 10 - Subtract $\frac{5}{10}$ − $\frac{3}{10}$

Answer : B

Explanation

Step 1:

Since denominators are same, subtracting the numerators

$\frac{5}{10}$ − $\frac{3}{10}$ = $\frac{(5-3)}{10}$ = $\frac{2}{10}$

Step 2:

Reducing to the lowest terms, $\frac{2}{10}$ = $\frac{1}{5}$

Step 3:

So, $\frac{5}{10}$ − $\frac{3}{10}$ = $\frac{1}{5}$

add_or_subtract_fraction_with_same_denominator_and_simplification.htm

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