ADDING AND SUBTRACTING FRACTIONS WORKSHEET

1. Add 1/7 and 3/7.

2. Subtract 2/9 from 5/9.

3. Simplify :

4. Add 3/4 and 5/6.

5. Subtract 1/9 from 5/6.

6. Simplify :

7. Add 1/2 and 1/3.

8. Subtract 3/10 from and 5/9.

9. David's mom gave him one-third of a pizza and his dad gave him one-sixth of a pizza. What amount of a pizza does David have now?

10. Lily had two-third of a candy and she gave one-eighth of it to her friend took the rest for her. What amount of candy did Lily take for her?

Answers

1. Answer :

The given fractions are like fractions (having same denominator). To add them, take the denominator once and combine the numerators.

2. Answer :

3. Answer :

4. Answer :

The given fractions are unlike fractions (having different denominators).

Least common multiple of (4, 6) = 12.

To make the denominator as 12, multiply both numerator and denominator of the first fraction by 3 and the second fraction by 2.

5. Answer :

Least common multiple of (9, 6) = 18.

To make the denominator as 18, multiply both numerator and denominator of the first fraction by 2 and the second fraction by 3.

6. Answer :

Least common multiple of (4, 6, 8) = 24.

To make the denominator as 24, multiply both numerator and denominator of the first fraction by 6, second fraction by 4 and the third fraction by 3.

7. Answer :

Least common multiple of (2, 3) = 6.

To make the denominator as 6, multiply both numerator and denominator of the first fraction by 3 and the second fraction by 2.

8. Answer :

Least common multiple of (9, 10) = 90.

To make the denominator as 90, multiply both numerator and denominator of the first fraction by 10 and the second fraction by 9.

9. Answer :

Amount of pizza David has now :

The fractions 1/3 and 1/6 are unlike fractions (having different denominators).

Least common multiple of (3, 6) = 6.

To make the denominator as 6, multiply both numerator and denominator of the first fraction by 3. The denominator of the second fraction is already 6. So, keep the second fraction as it.

David has 1/2 of a pizza now.

10. Answer :

Amount of candy Lily took for her :

The fractions 2/3 and 1/12 are unlike fractions (having different denominators).

Least common multiple of (3, 12) = 12.

To make the denominator as 12, multiply both numerator and denominator of the first fraction by 4. The denominator of the second fraction is already 12. So, keep the second fraction as it.

Lily took 7/12 of the candy for her.

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