Math worksheet for subtracting fractions with regrouping, featuring 14 problems and an answer column.
A math worksheet titled "Subtracting Fractions (with Regrouping)" with 14 problems involving subtraction of mixed numbers and fractions, designed for educational practice.
PNG
612×792
12.2 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #659695
⭐
Show Answer Key & Explanations
Step-by-step solution for: Subtracting Fractions (with Regrouping) Worksheet Download
▼
Show Answer Key & Explanations
Step-by-step solution for: Subtracting Fractions (with Regrouping) Worksheet Download
Here are the step-by-step solutions for each problem. Remember, when the top fraction is smaller than the bottom fraction, we need to "borrow" or regroup from the whole number.
1) $5 \frac{1}{4} - 3 \frac{3}{4}$
* You can't subtract $\frac{3}{4}$ from $\frac{1}{4}$. Borrow 1 from the 5.
* The 5 becomes 4. Add that 1 (which is $\frac{4}{4}$) to the $\frac{1}{4}$ to get $\frac{5}{4}$.
* Now solve: $4 \frac{5}{4} - 3 \frac{3}{4}$.
* Whole numbers: $4 - 3 = 1$.
* Fractions: $\frac{5}{4} - \frac{3}{4} = \frac{2}{4}$.
* Simplify $\frac{2}{4}$ to $\frac{1}{2}$.
* Answer: $1 \frac{1}{2}$
2) $2 \frac{2}{4} - 1 \frac{3}{4}$
* You can't subtract $\frac{3}{4}$ from $\frac{2}{4}$. Borrow 1 from the 2.
* The 2 becomes 1. Add $\frac{4}{4}$ to $\frac{2}{4}$ to get $\frac{6}{4}$.
* Now solve: $1 \frac{6}{4} - 1 \frac{3}{4}$.
* Whole numbers: $1 - 1 = 0$.
* Fractions: $\frac{6}{4} - \frac{3}{4} = \frac{3}{4}$.
* Answer: $\frac{3}{4}$
3) $3 \frac{4}{8} - 1 \frac{7}{8}$
* Borrow 1 from the 3. It becomes 2.
* Add $\frac{8}{8}$ to $\frac{4}{8}$ to get $\frac{12}{8}$.
* Now solve: $2 \frac{12}{8} - 1 \frac{7}{8}$.
* Whole numbers: $2 - 1 = 1$.
* Fractions: $\frac{12}{8} - \frac{7}{8} = \frac{5}{8}$.
* Answer: $1 \frac{5}{8}$
4) $4 \frac{1}{8} - 2 \frac{2}{8}$
* Borrow 1 from the 4. It becomes 3.
* Add $\frac{8}{8}$ to $\frac{1}{8}$ to get $\frac{9}{8}$.
* Now solve: $3 \frac{9}{8} - 2 \frac{2}{8}$.
* Whole numbers: $3 - 2 = 1$.
* Fractions: $\frac{9}{8} - \frac{2}{8} = \frac{7}{8}$.
* Answer: $1 \frac{7}{8}$
5) $9 \frac{1}{9} - 7 \frac{4}{9}$
* Borrow 1 from the 9. It becomes 8.
* Add $\frac{9}{9}$ to $\frac{1}{9}$ to get $\frac{10}{9}$.
* Now solve: $8 \frac{10}{9} - 7 \frac{4}{9}$.
* Whole numbers: $8 - 7 = 1$.
* Fractions: $\frac{10}{9} - \frac{4}{9} = \frac{6}{9}$.
* Simplify $\frac{6}{9}$ by dividing top and bottom by 3 to get $\frac{2}{3}$.
* Answer: $1 \frac{2}{3}$
6) $2 \frac{2}{5} - 1 \frac{4}{5}$
* Borrow 1 from the 2. It becomes 1.
* Add $\frac{5}{5}$ to $\frac{2}{5}$ to get $\frac{7}{5}$.
* Now solve: $1 \frac{7}{5} - 1 \frac{4}{5}$.
* Whole numbers: $1 - 1 = 0$.
* Fractions: $\frac{7}{5} - \frac{4}{5} = \frac{3}{5}$.
* Answer: $\frac{3}{5}$
7) $2 \frac{2}{9} - 1 \frac{3}{9}$
* Borrow 1 from the 2. It becomes 1.
* Add $\frac{9}{9}$ to $\frac{2}{9}$ to get $\frac{11}{9}$.
* Now solve: $1 \frac{11}{9} - 1 \frac{3}{9}$.
* Whole numbers: $1 - 1 = 0$.
* Fractions: $\frac{11}{9} - \frac{3}{9} = \frac{8}{9}$.
* Answer: $\frac{8}{9}$
8) $9 \frac{1}{8} - 2 \frac{4}{8}$
* Borrow 1 from the 9. It becomes 8.
* Add $\frac{8}{8}$ to $\frac{1}{8}$ to get $\frac{9}{8}$.
* Now solve: $8 \frac{9}{8} - 2 \frac{4}{8}$.
* Whole numbers: $8 - 2 = 6$.
* Fractions: $\frac{9}{8} - \frac{4}{8} = \frac{5}{8}$.
* Answer: $6 \frac{5}{8}$
9) $2 \frac{3}{6} - 1 \frac{5}{6}$
* Borrow 1 from the 2. It becomes 1.
* Add $\frac{6}{6}$ to $\frac{3}{6}$ to get $\frac{9}{6}$.
* Now solve: $1 \frac{9}{6} - 1 \frac{5}{6}$.
* Whole numbers: $1 - 1 = 0$.
* Fractions: $\frac{9}{6} - \frac{5}{6} = \frac{4}{6}$.
* Simplify $\frac{4}{6}$ to $\frac{2}{3}$.
* Answer: $\frac{2}{3}$
10) $8 \frac{1}{5} - 1 \frac{3}{5}$
* Borrow 1 from the 8. It becomes 7.
* Add $\frac{5}{5}$ to $\frac{1}{5}$ to get $\frac{6}{5}$.
* Now solve: $7 \frac{6}{5} - 1 \frac{3}{5}$.
* Whole numbers: $7 - 1 = 6$.
* Fractions: $\frac{6}{5} - \frac{3}{5} = \frac{3}{5}$.
* Answer: $6 \frac{3}{5}$
11) $2 \frac{1}{8} - 1 \frac{3}{8}$
* Borrow 1 from the 2. It becomes 1.
* Add $\frac{8}{8}$ to $\frac{1}{8}$ to get $\frac{9}{8}$.
* Now solve: $1 \frac{9}{8} - 1 \frac{3}{8}$.
* Whole numbers: $1 - 1 = 0$.
* Fractions: $\frac{9}{8} - \frac{3}{8} = \frac{6}{8}$.
* Simplify $\frac{6}{8}$ to $\frac{3}{4}$.
* Answer: $\frac{3}{4}$
12) $9 \frac{1}{9} - 7 \frac{2}{9}$
* Borrow 1 from the 9. It becomes 8.
* Add $\frac{9}{9}$ to $\frac{1}{9}$ to get $\frac{10}{9}$.
* Now solve: $8 \frac{10}{9} - 7 \frac{2}{9}$.
* Whole numbers: $8 - 7 = 1$.
* Fractions: $\frac{10}{9} - \frac{2}{9} = \frac{8}{9}$.
* Answer: $1 \frac{8}{9}$
13) $3 \frac{1}{5} - 2 \frac{2}{5}$
* Borrow 1 from the 3. It becomes 2.
* Add $\frac{5}{5}$ to $\frac{1}{5}$ to get $\frac{6}{5}$.
* Now solve: $2 \frac{6}{5} - 2 \frac{2}{5}$.
* Whole numbers: $2 - 2 = 0$.
* Fractions: $\frac{6}{5} - \frac{2}{5} = \frac{4}{5}$.
* Answer: $\frac{4}{5}$
14) $4 \frac{1}{5} - 3 \frac{3}{5}$
* Borrow 1 from the 4. It becomes 3.
* Add $\frac{5}{5}$ to $\frac{1}{5}$ to get $\frac{6}{5}$.
* Now solve: $3 \frac{6}{5} - 3 \frac{3}{5}$.
* Whole numbers: $3 - 3 = 0$.
* Fractions: $\frac{6}{5} - \frac{3}{5} = \frac{3}{5}$.
* Answer: $\frac{3}{5}$
Final Answer:
1. $1 \frac{1}{2}$
2. $\frac{3}{4}$
3. $1 \frac{5}{8}$
4. $1 \frac{7}{8}$
5. $1 \frac{2}{3}$
6. $\frac{3}{5}$
7. $\frac{8}{9}$
8. $6 \frac{5}{8}$
9. $\frac{2}{3}$
10. $6 \frac{3}{5}$
11. $\frac{3}{4}$
12. $1 \frac{8}{9}$
13. $\frac{4}{5}$
14. $\frac{3}{5}$
1) $5 \frac{1}{4} - 3 \frac{3}{4}$
* You can't subtract $\frac{3}{4}$ from $\frac{1}{4}$. Borrow 1 from the 5.
* The 5 becomes 4. Add that 1 (which is $\frac{4}{4}$) to the $\frac{1}{4}$ to get $\frac{5}{4}$.
* Now solve: $4 \frac{5}{4} - 3 \frac{3}{4}$.
* Whole numbers: $4 - 3 = 1$.
* Fractions: $\frac{5}{4} - \frac{3}{4} = \frac{2}{4}$.
* Simplify $\frac{2}{4}$ to $\frac{1}{2}$.
* Answer: $1 \frac{1}{2}$
2) $2 \frac{2}{4} - 1 \frac{3}{4}$
* You can't subtract $\frac{3}{4}$ from $\frac{2}{4}$. Borrow 1 from the 2.
* The 2 becomes 1. Add $\frac{4}{4}$ to $\frac{2}{4}$ to get $\frac{6}{4}$.
* Now solve: $1 \frac{6}{4} - 1 \frac{3}{4}$.
* Whole numbers: $1 - 1 = 0$.
* Fractions: $\frac{6}{4} - \frac{3}{4} = \frac{3}{4}$.
* Answer: $\frac{3}{4}$
3) $3 \frac{4}{8} - 1 \frac{7}{8}$
* Borrow 1 from the 3. It becomes 2.
* Add $\frac{8}{8}$ to $\frac{4}{8}$ to get $\frac{12}{8}$.
* Now solve: $2 \frac{12}{8} - 1 \frac{7}{8}$.
* Whole numbers: $2 - 1 = 1$.
* Fractions: $\frac{12}{8} - \frac{7}{8} = \frac{5}{8}$.
* Answer: $1 \frac{5}{8}$
4) $4 \frac{1}{8} - 2 \frac{2}{8}$
* Borrow 1 from the 4. It becomes 3.
* Add $\frac{8}{8}$ to $\frac{1}{8}$ to get $\frac{9}{8}$.
* Now solve: $3 \frac{9}{8} - 2 \frac{2}{8}$.
* Whole numbers: $3 - 2 = 1$.
* Fractions: $\frac{9}{8} - \frac{2}{8} = \frac{7}{8}$.
* Answer: $1 \frac{7}{8}$
5) $9 \frac{1}{9} - 7 \frac{4}{9}$
* Borrow 1 from the 9. It becomes 8.
* Add $\frac{9}{9}$ to $\frac{1}{9}$ to get $\frac{10}{9}$.
* Now solve: $8 \frac{10}{9} - 7 \frac{4}{9}$.
* Whole numbers: $8 - 7 = 1$.
* Fractions: $\frac{10}{9} - \frac{4}{9} = \frac{6}{9}$.
* Simplify $\frac{6}{9}$ by dividing top and bottom by 3 to get $\frac{2}{3}$.
* Answer: $1 \frac{2}{3}$
6) $2 \frac{2}{5} - 1 \frac{4}{5}$
* Borrow 1 from the 2. It becomes 1.
* Add $\frac{5}{5}$ to $\frac{2}{5}$ to get $\frac{7}{5}$.
* Now solve: $1 \frac{7}{5} - 1 \frac{4}{5}$.
* Whole numbers: $1 - 1 = 0$.
* Fractions: $\frac{7}{5} - \frac{4}{5} = \frac{3}{5}$.
* Answer: $\frac{3}{5}$
7) $2 \frac{2}{9} - 1 \frac{3}{9}$
* Borrow 1 from the 2. It becomes 1.
* Add $\frac{9}{9}$ to $\frac{2}{9}$ to get $\frac{11}{9}$.
* Now solve: $1 \frac{11}{9} - 1 \frac{3}{9}$.
* Whole numbers: $1 - 1 = 0$.
* Fractions: $\frac{11}{9} - \frac{3}{9} = \frac{8}{9}$.
* Answer: $\frac{8}{9}$
8) $9 \frac{1}{8} - 2 \frac{4}{8}$
* Borrow 1 from the 9. It becomes 8.
* Add $\frac{8}{8}$ to $\frac{1}{8}$ to get $\frac{9}{8}$.
* Now solve: $8 \frac{9}{8} - 2 \frac{4}{8}$.
* Whole numbers: $8 - 2 = 6$.
* Fractions: $\frac{9}{8} - \frac{4}{8} = \frac{5}{8}$.
* Answer: $6 \frac{5}{8}$
9) $2 \frac{3}{6} - 1 \frac{5}{6}$
* Borrow 1 from the 2. It becomes 1.
* Add $\frac{6}{6}$ to $\frac{3}{6}$ to get $\frac{9}{6}$.
* Now solve: $1 \frac{9}{6} - 1 \frac{5}{6}$.
* Whole numbers: $1 - 1 = 0$.
* Fractions: $\frac{9}{6} - \frac{5}{6} = \frac{4}{6}$.
* Simplify $\frac{4}{6}$ to $\frac{2}{3}$.
* Answer: $\frac{2}{3}$
10) $8 \frac{1}{5} - 1 \frac{3}{5}$
* Borrow 1 from the 8. It becomes 7.
* Add $\frac{5}{5}$ to $\frac{1}{5}$ to get $\frac{6}{5}$.
* Now solve: $7 \frac{6}{5} - 1 \frac{3}{5}$.
* Whole numbers: $7 - 1 = 6$.
* Fractions: $\frac{6}{5} - \frac{3}{5} = \frac{3}{5}$.
* Answer: $6 \frac{3}{5}$
11) $2 \frac{1}{8} - 1 \frac{3}{8}$
* Borrow 1 from the 2. It becomes 1.
* Add $\frac{8}{8}$ to $\frac{1}{8}$ to get $\frac{9}{8}$.
* Now solve: $1 \frac{9}{8} - 1 \frac{3}{8}$.
* Whole numbers: $1 - 1 = 0$.
* Fractions: $\frac{9}{8} - \frac{3}{8} = \frac{6}{8}$.
* Simplify $\frac{6}{8}$ to $\frac{3}{4}$.
* Answer: $\frac{3}{4}$
12) $9 \frac{1}{9} - 7 \frac{2}{9}$
* Borrow 1 from the 9. It becomes 8.
* Add $\frac{9}{9}$ to $\frac{1}{9}$ to get $\frac{10}{9}$.
* Now solve: $8 \frac{10}{9} - 7 \frac{2}{9}$.
* Whole numbers: $8 - 7 = 1$.
* Fractions: $\frac{10}{9} - \frac{2}{9} = \frac{8}{9}$.
* Answer: $1 \frac{8}{9}$
13) $3 \frac{1}{5} - 2 \frac{2}{5}$
* Borrow 1 from the 3. It becomes 2.
* Add $\frac{5}{5}$ to $\frac{1}{5}$ to get $\frac{6}{5}$.
* Now solve: $2 \frac{6}{5} - 2 \frac{2}{5}$.
* Whole numbers: $2 - 2 = 0$.
* Fractions: $\frac{6}{5} - \frac{2}{5} = \frac{4}{5}$.
* Answer: $\frac{4}{5}$
14) $4 \frac{1}{5} - 3 \frac{3}{5}$
* Borrow 1 from the 4. It becomes 3.
* Add $\frac{5}{5}$ to $\frac{1}{5}$ to get $\frac{6}{5}$.
* Now solve: $3 \frac{6}{5} - 3 \frac{3}{5}$.
* Whole numbers: $3 - 3 = 0$.
* Fractions: $\frac{6}{5} - \frac{3}{5} = \frac{3}{5}$.
* Answer: $\frac{3}{5}$
Final Answer:
1. $1 \frac{1}{2}$
2. $\frac{3}{4}$
3. $1 \frac{5}{8}$
4. $1 \frac{7}{8}$
5. $1 \frac{2}{3}$
6. $\frac{3}{5}$
7. $\frac{8}{9}$
8. $6 \frac{5}{8}$
9. $\frac{2}{3}$
10. $6 \frac{3}{5}$
11. $\frac{3}{4}$
12. $1 \frac{8}{9}$
13. $\frac{4}{5}$
14. $\frac{3}{5}$
Parent Tip: Review the logic above to help your child master the concept of subtraction of fractions with regrouping worksheet.
