Adding and Subtracting Fractions
Practice finding sums and differences of fractions
Adding and Subtracting Fractions
Practice finding sums and differences of fractions
Math - Grade 4-5
- 1
Add the fractions: 2/8 + 3/8
When denominators are the same, keep the denominator and add the numerators.
The sum is 5/8 because the denominators are the same, so you add the numerators: 2 + 3 = 5. - 2
Subtract the fractions: 7/10 - 4/10
The difference is 3/10 because the denominators are the same, so you subtract the numerators: 7 - 4 = 3. - 3
Add the fractions: 1/6 + 4/6
Look at the bottom numbers first.
The sum is 5/6 because the denominators are the same, so you add the numerators: 1 + 4 = 5. - 4
Subtract the fractions: 9/12 - 5/12
The difference is 4/12, which simplifies to 1/3. You subtract the numerators and then simplify the fraction. - 5
Add the fractions: 3/4 + 1/4
Think about how many fourths make a whole.
The sum is 4/4, which equals 1 whole. Four fourths make one whole. - 6
Subtract the fractions: 5/8 - 1/8
The difference is 4/8, which simplifies to 1/2. You subtract the numerators and then simplify. - 7
Add the fractions: 1/2 + 1/4
Change the fractions so they have the same denominator.
The sum is 3/4. You can rename 1/2 as 2/4, and then 2/4 + 1/4 = 3/4. - 8
Subtract the fractions: 3/4 - 1/2
The difference is 1/4. Rename 1/2 as 2/4, and then 3/4 - 2/4 = 1/4. - 9
Add the fractions: 2/3 + 1/6
Find a common denominator that both 3 and 6 can use.
The sum is 5/6. Rename 2/3 as 4/6, and then 4/6 + 1/6 = 5/6. - 10
Subtract the fractions: 5/6 - 1/3
The difference is 3/6, which simplifies to 1/2. Rename 1/3 as 2/6, and then subtract. - 11
Lena ate 2/8 of a cake in the morning and 3/8 of the cake in the evening. What fraction of the cake did she eat in all?
Add the parts she ate.
Lena ate 5/8 of the cake in all because 2/8 + 3/8 = 5/8. - 12
A water tank was 6/10 full. Then 2/10 of the tank was used. What fraction of the tank is still full?
The tank is 4/10 full, which simplifies to 2/5. You subtract 2/10 from 6/10. - 13
Noah walked 1/2 mile in the morning and 1/3 mile in the afternoon. How far did he walk altogether?
Use sixths as the common denominator.
Noah walked 5/6 mile altogether. Rename 1/2 as 3/6 and 1/3 as 2/6, then add 3/6 + 2/6 = 5/6. - 14
Mia had 7/8 yard of ribbon. She used 3/8 yard for a project. How much ribbon does she have left?
Mia has 4/8 yard left, which simplifies to 1/2 yard. You subtract 3/8 from 7/8. - 15
A class completed 1/4 of a poster on Monday and 2/4 of the poster on Tuesday. What fraction of the poster is finished now?
Add the fractions because both parts are completed.
The class has finished 3/4 of the poster because 1/4 + 2/4 = 3/4.