Adding & Subtracting Fractions (Same Denominator) Worksheet | Free ... - Free Printable
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Step-by-step solution for: Adding & Subtracting Fractions (Same Denominator) Worksheet | Free ...
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Show Answer Key & Explanations
Step-by-step solution for: Adding & Subtracting Fractions (Same Denominator) Worksheet | Free ...
Here are the step-by-step solutions for each problem on the worksheet.
1) $\frac{1}{2} - \frac{1}{2}$
The denominators are the same, so subtract the numerators: $1 - 1 = 0$.
Answer: $0$
2) $\frac{4}{6} - \frac{2}{6}$
Subtract the numerators: $4 - 2 = 2$. Keep the denominator as 6.
Result: $\frac{2}{6}$. This simplifies to $\frac{1}{3}$.
Answer: $\frac{1}{3}$
3) $\frac{3}{6} - \frac{1}{6}$
Subtract the numerators: $3 - 1 = 2$. Keep the denominator as 6.
Result: $\frac{2}{6}$. This simplifies to $\frac{1}{3}$.
Answer: $\frac{1}{3}$
4) $\frac{9}{10} - \frac{1}{10}$
Subtract the numerators: $9 - 1 = 8$. Keep the denominator as 10.
Result: $\frac{8}{10}$. Divide top and bottom by 2 to simplify.
Answer: $\frac{4}{5}$
5) $\frac{5}{10} - \frac{3}{10}$
Subtract the numerators: $5 - 3 = 2$. Keep the denominator as 10.
Result: $\frac{2}{10}$. Divide top and bottom by 2 to simplify.
Answer: $\frac{1}{5}$
6) $\frac{2}{6} - \frac{1}{6}$
Subtract the numerators: $2 - 1 = 1$. Keep the denominator as 6.
Answer: $\frac{1}{6}$
7) $\frac{3}{4} - \frac{2}{4}$
Subtract the numerators: $3 - 2 = 1$. Keep the denominator as 4.
Answer: $\frac{1}{4}$
8) $\frac{8}{10} - \frac{2}{10}$
Subtract the numerators: $8 - 2 = 6$. Keep the denominator as 10.
Result: $\frac{6}{10}$. Divide top and bottom by 2 to simplify.
Answer: $\frac{3}{5}$
9) $\frac{8}{12} - \frac{1}{12}$
Subtract the numerators: $8 - 1 = 7$. Keep the denominator as 12.
Answer: $\frac{7}{12}$
10) $\frac{6}{10} - \frac{3}{10}$
Subtract the numerators: $6 - 3 = 3$. Keep the denominator as 10.
Answer: $\frac{3}{10}$
11) $\frac{2}{5} + \frac{2}{5}$
Add the numerators: $2 + 2 = 4$. Keep the denominator as 5.
Answer: $\frac{4}{5}$
12) $\frac{1}{5} + \frac{1}{5}$
Add the numerators: $1 + 1 = 2$. Keep the denominator as 5.
Answer: $\frac{2}{5}$
13) $\frac{1}{3} + \frac{2}{3}$
Add the numerators: $1 + 2 = 3$. The fraction is $\frac{3}{3}$.
$\frac{3}{3}$ equals 1 whole.
Answer: $1$
14) $\frac{2}{12} + \frac{3}{12}$
Add the numerators: $2 + 3 = 5$. Keep the denominator as 12.
Answer: $\frac{5}{12}$
15) $\frac{4}{8} + \frac{1}{8}$
Add the numerators: $4 + 1 = 5$. Keep the denominator as 8.
Answer: $\frac{5}{8}$
16) $\frac{6}{12} + \frac{5}{12}$
Add the numerators: $6 + 5 = 11$. Keep the denominator as 12.
Answer: $\frac{11}{12}$
17) $\frac{3}{4} + \frac{3}{4}$
Add the numerators: $3 + 3 = 6$. The fraction is $\frac{6}{4}$.
This is an improper fraction. 4 goes into 6 one time with a remainder of 2.
So, it is $1 \frac{2}{4}$. Simplify $\frac{2}{4}$ to $\frac{1}{2}$.
Answer: $1 \frac{1}{2}$
18) $\frac{3}{4} + \frac{2}{4}$
Add the numerators: $3 + 2 = 5$. The fraction is $\frac{5}{4}$.
4 goes into 5 one time with a remainder of 1.
Answer: $1 \frac{1}{4}$
19) $\frac{2}{10} + \frac{9}{10}$
Add the numerators: $2 + 9 = 11$. The fraction is $\frac{11}{10}$.
10 goes into 11 one time with a remainder of 1.
Answer: $1 \frac{1}{10}$
20) $\frac{9}{10} + \frac{4}{10}$
Add the numerators: $9 + 4 = 13$. The fraction is $\frac{13}{10}$.
10 goes into 13 one time with a remainder of 3.
Answer: $1 \frac{3}{10}$
Final Answer:
1. 0
2. 1/3
3. 1/3
4. 4/5
5. 1/5
6. 1/6
7. 1/4
8. 3/5
9. 7/12
10. 3/10
11. 4/5
12. 2/5
13. 1
14. 5/12
15. 5/8
16. 11/12
17. 1 1/2
18. 1 1/4
19. 1 1/10
20. 1 3/10
1) $\frac{1}{2} - \frac{1}{2}$
The denominators are the same, so subtract the numerators: $1 - 1 = 0$.
Answer: $0$
2) $\frac{4}{6} - \frac{2}{6}$
Subtract the numerators: $4 - 2 = 2$. Keep the denominator as 6.
Result: $\frac{2}{6}$. This simplifies to $\frac{1}{3}$.
Answer: $\frac{1}{3}$
3) $\frac{3}{6} - \frac{1}{6}$
Subtract the numerators: $3 - 1 = 2$. Keep the denominator as 6.
Result: $\frac{2}{6}$. This simplifies to $\frac{1}{3}$.
Answer: $\frac{1}{3}$
4) $\frac{9}{10} - \frac{1}{10}$
Subtract the numerators: $9 - 1 = 8$. Keep the denominator as 10.
Result: $\frac{8}{10}$. Divide top and bottom by 2 to simplify.
Answer: $\frac{4}{5}$
5) $\frac{5}{10} - \frac{3}{10}$
Subtract the numerators: $5 - 3 = 2$. Keep the denominator as 10.
Result: $\frac{2}{10}$. Divide top and bottom by 2 to simplify.
Answer: $\frac{1}{5}$
6) $\frac{2}{6} - \frac{1}{6}$
Subtract the numerators: $2 - 1 = 1$. Keep the denominator as 6.
Answer: $\frac{1}{6}$
7) $\frac{3}{4} - \frac{2}{4}$
Subtract the numerators: $3 - 2 = 1$. Keep the denominator as 4.
Answer: $\frac{1}{4}$
8) $\frac{8}{10} - \frac{2}{10}$
Subtract the numerators: $8 - 2 = 6$. Keep the denominator as 10.
Result: $\frac{6}{10}$. Divide top and bottom by 2 to simplify.
Answer: $\frac{3}{5}$
9) $\frac{8}{12} - \frac{1}{12}$
Subtract the numerators: $8 - 1 = 7$. Keep the denominator as 12.
Answer: $\frac{7}{12}$
10) $\frac{6}{10} - \frac{3}{10}$
Subtract the numerators: $6 - 3 = 3$. Keep the denominator as 10.
Answer: $\frac{3}{10}$
11) $\frac{2}{5} + \frac{2}{5}$
Add the numerators: $2 + 2 = 4$. Keep the denominator as 5.
Answer: $\frac{4}{5}$
12) $\frac{1}{5} + \frac{1}{5}$
Add the numerators: $1 + 1 = 2$. Keep the denominator as 5.
Answer: $\frac{2}{5}$
13) $\frac{1}{3} + \frac{2}{3}$
Add the numerators: $1 + 2 = 3$. The fraction is $\frac{3}{3}$.
$\frac{3}{3}$ equals 1 whole.
Answer: $1$
14) $\frac{2}{12} + \frac{3}{12}$
Add the numerators: $2 + 3 = 5$. Keep the denominator as 12.
Answer: $\frac{5}{12}$
15) $\frac{4}{8} + \frac{1}{8}$
Add the numerators: $4 + 1 = 5$. Keep the denominator as 8.
Answer: $\frac{5}{8}$
16) $\frac{6}{12} + \frac{5}{12}$
Add the numerators: $6 + 5 = 11$. Keep the denominator as 12.
Answer: $\frac{11}{12}$
17) $\frac{3}{4} + \frac{3}{4}$
Add the numerators: $3 + 3 = 6$. The fraction is $\frac{6}{4}$.
This is an improper fraction. 4 goes into 6 one time with a remainder of 2.
So, it is $1 \frac{2}{4}$. Simplify $\frac{2}{4}$ to $\frac{1}{2}$.
Answer: $1 \frac{1}{2}$
18) $\frac{3}{4} + \frac{2}{4}$
Add the numerators: $3 + 2 = 5$. The fraction is $\frac{5}{4}$.
4 goes into 5 one time with a remainder of 1.
Answer: $1 \frac{1}{4}$
19) $\frac{2}{10} + \frac{9}{10}$
Add the numerators: $2 + 9 = 11$. The fraction is $\frac{11}{10}$.
10 goes into 11 one time with a remainder of 1.
Answer: $1 \frac{1}{10}$
20) $\frac{9}{10} + \frac{4}{10}$
Add the numerators: $9 + 4 = 13$. The fraction is $\frac{13}{10}$.
10 goes into 13 one time with a remainder of 3.
Answer: $1 \frac{3}{10}$
Final Answer:
1. 0
2. 1/3
3. 1/3
4. 4/5
5. 1/5
6. 1/6
7. 1/4
8. 3/5
9. 7/12
10. 3/10
11. 4/5
12. 2/5
13. 1
14. 5/12
15. 5/8
16. 11/12
17. 1 1/2
18. 1 1/4
19. 1 1/10
20. 1 3/10
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting fractions with common denominators.