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← 5th Grade Practice

5th Grade · Session 2 of 10

Fractions — Unlike Denominators

Add and subtract fractions with different denominators. Find the least common denominator (LCD) first, then rewrite both fractions before computing.

A

Addition

Find the LCD, rewrite both fractions, then add. Simplify.

1
12+13\dfrac{1}{2} + \dfrac{1}{3}
=
2
34+16\dfrac{3}{4} + \dfrac{1}{6}
=
3
23+15\dfrac{2}{3} + \dfrac{1}{5}
=
4
14+310\dfrac{1}{4} + \dfrac{3}{10}
=
B

Subtraction

Find the LCD, rewrite both fractions, then subtract. Simplify.

5
56−14\dfrac{5}{6} - \dfrac{1}{4}
=
6
78−13\dfrac{7}{8} - \dfrac{1}{3}
=
7
56−29\dfrac{5}{6} - \dfrac{2}{9}
=
8
34−25\dfrac{3}{4} - \dfrac{2}{5}
=
C

Word Problems

Show all your steps.

9

A container is 34\dfrac{3}{4} full. Someone pours in another 16\dfrac{1}{6} of the container. How full is it now? (Leave as a fraction less than 1 or as a mixed number.)

=
10

A trail is 78\dfrac{7}{8} of a kilometre long. You have already hiked 13\dfrac{1}{3} of a kilometre. How much of the trail is still ahead of you?

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