Subtracting Fractions Worksheets - Math Monks - Free Printable
Educational worksheet: Subtracting Fractions Worksheets - Math Monks. Download and print for classroom or home learning activities.
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Step-by-step solution for: Subtracting Fractions Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Subtracting Fractions Worksheets - Math Monks
Here are the solutions for the subtraction problems. Since the first one is already solved in your worksheet, I will provide the answers for the remaining 11 problems.
Row 1:
1. $7 \frac{1}{4} - 4 \frac{2}{4}$
* You cannot subtract $\frac{2}{4}$ from $\frac{1}{4}$, so you borrow 1 from the 7.
* $7 \frac{1}{4}$ becomes $6 \frac{5}{4}$.
* $6 - 4 = 2$ and $\frac{5}{4} - \frac{2}{4} = \frac{3}{4}$.
* Answer: $2 \frac{3}{4}$
2. $8 \frac{2}{5} - 2 \frac{3}{5}$
* Borrow 1 from the 8 to make the fraction bigger.
* $8 \frac{2}{5}$ becomes $7 \frac{7}{5}$.
* $7 - 2 = 5$ and $\frac{7}{5} - \frac{3}{5} = \frac{4}{5}$.
* Answer: $5 \frac{4}{5}$
Row 2:
3. $3 \frac{4}{8} - 1 \frac{7}{8}$
* Borrow 1 from the 3.
* $3 \frac{4}{8}$ becomes $2 \frac{12}{8}$.
* $2 - 1 = 1$ and $\frac{12}{8} - \frac{7}{8} = \frac{5}{8}$.
* Answer: $1 \frac{5}{8}$
4. $9 \frac{1}{9} - 4 \frac{7}{9}$
* Borrow 1 from the 9.
* $9 \frac{1}{9}$ becomes $8 \frac{10}{9}$.
* $8 - 4 = 4$ and $\frac{10}{9} - \frac{7}{9} = \frac{3}{9}$.
* Simplify $\frac{3}{9}$ to $\frac{1}{3}$.
* Answer: $4 \frac{1}{3}$ (or $4 \frac{3}{9}$)
5. $4 \frac{1}{8} - 2 \frac{2}{8}$
* Borrow 1 from the 4.
* $4 \frac{1}{8}$ becomes $3 \frac{9}{8}$.
* $3 - 2 = 1$ and $\frac{9}{8} - \frac{2}{8} = \frac{7}{8}$.
* Answer: $1 \frac{7}{8}$
Row 3:
6. $6 \frac{3}{6} - 1 \frac{5}{6}$
* Borrow 1 from the 6.
* $6 \frac{3}{6}$ becomes $5 \frac{9}{6}$.
* $5 - 1 = 4$ and $\frac{9}{6} - \frac{5}{6} = \frac{4}{6}$.
* Simplify $\frac{4}{6}$ to $\frac{2}{3}$.
* Answer: $4 \frac{2}{3}$ (or $4 \frac{4}{6}$)
7. $7 \frac{1}{5} - 2 \frac{2}{5}$
* Borrow 1 from the 7.
* $7 \frac{1}{5}$ becomes $6 \frac{6}{5}$.
* $6 - 2 = 4$ and $\frac{6}{5} - \frac{2}{5} = \frac{4}{5}$.
* Answer: $4 \frac{4}{5}$
8. $8 \frac{2}{4} - 4 \frac{3}{4}$
* Borrow 1 from the 8.
* $8 \frac{2}{4}$ becomes $7 \frac{6}{4}$.
* $7 - 4 = 3$ and $\frac{6}{4} - \frac{3}{4} = \frac{3}{4}$.
* Answer: $3 \frac{3}{4}$
Row 4:
9. $6 \frac{3}{5} - 3 \frac{4}{5}$
* Borrow 1 from the 6.
* $6 \frac{3}{5}$ becomes $5 \frac{8}{5}$.
* $5 - 3 = 2$ and $\frac{8}{5} - \frac{4}{5} = \frac{4}{5}$.
* Answer: $2 \frac{4}{5}$
10. $4 \frac{3}{8} - 1 \frac{5}{8}$
* Borrow 1 from the 4.
* $4 \frac{3}{8}$ becomes $3 \frac{11}{8}$.
* $3 - 1 = 2$ and $\frac{11}{8} - \frac{5}{8} = \frac{6}{8}$.
* Simplify $\frac{6}{8}$ to $\frac{3}{4}$.
* Answer: $2 \frac{3}{4}$ (or $2 \frac{6}{8}$)
11. $5 \frac{9}{11} - 3 \frac{10}{11}$
* Borrow 1 from the 5.
* $5 \frac{9}{11}$ becomes $4 \frac{20}{11}$.
* $4 - 3 = 1$ and $\frac{20}{11} - \frac{10}{11} = \frac{10}{11}$.
* Answer: $1 \frac{10}{11}$
Final Answer:
1. $2 \frac{3}{4}$
2. $5 \frac{4}{5}$
3. $1 \frac{5}{8}$
4. $4 \frac{1}{3}$
5. $1 \frac{7}{8}$
6. $4 \frac{2}{3}$
7. $4 \frac{4}{5}$
8. $3 \frac{3}{4}$
9. $2 \frac{4}{5}$
10. $2 \frac{3}{4}$
11. $1 \frac{10}{11}$
Row 1:
1. $7 \frac{1}{4} - 4 \frac{2}{4}$
* You cannot subtract $\frac{2}{4}$ from $\frac{1}{4}$, so you borrow 1 from the 7.
* $7 \frac{1}{4}$ becomes $6 \frac{5}{4}$.
* $6 - 4 = 2$ and $\frac{5}{4} - \frac{2}{4} = \frac{3}{4}$.
* Answer: $2 \frac{3}{4}$
2. $8 \frac{2}{5} - 2 \frac{3}{5}$
* Borrow 1 from the 8 to make the fraction bigger.
* $8 \frac{2}{5}$ becomes $7 \frac{7}{5}$.
* $7 - 2 = 5$ and $\frac{7}{5} - \frac{3}{5} = \frac{4}{5}$.
* Answer: $5 \frac{4}{5}$
Row 2:
3. $3 \frac{4}{8} - 1 \frac{7}{8}$
* Borrow 1 from the 3.
* $3 \frac{4}{8}$ becomes $2 \frac{12}{8}$.
* $2 - 1 = 1$ and $\frac{12}{8} - \frac{7}{8} = \frac{5}{8}$.
* Answer: $1 \frac{5}{8}$
4. $9 \frac{1}{9} - 4 \frac{7}{9}$
* Borrow 1 from the 9.
* $9 \frac{1}{9}$ becomes $8 \frac{10}{9}$.
* $8 - 4 = 4$ and $\frac{10}{9} - \frac{7}{9} = \frac{3}{9}$.
* Simplify $\frac{3}{9}$ to $\frac{1}{3}$.
* Answer: $4 \frac{1}{3}$ (or $4 \frac{3}{9}$)
5. $4 \frac{1}{8} - 2 \frac{2}{8}$
* Borrow 1 from the 4.
* $4 \frac{1}{8}$ becomes $3 \frac{9}{8}$.
* $3 - 2 = 1$ and $\frac{9}{8} - \frac{2}{8} = \frac{7}{8}$.
* Answer: $1 \frac{7}{8}$
Row 3:
6. $6 \frac{3}{6} - 1 \frac{5}{6}$
* Borrow 1 from the 6.
* $6 \frac{3}{6}$ becomes $5 \frac{9}{6}$.
* $5 - 1 = 4$ and $\frac{9}{6} - \frac{5}{6} = \frac{4}{6}$.
* Simplify $\frac{4}{6}$ to $\frac{2}{3}$.
* Answer: $4 \frac{2}{3}$ (or $4 \frac{4}{6}$)
7. $7 \frac{1}{5} - 2 \frac{2}{5}$
* Borrow 1 from the 7.
* $7 \frac{1}{5}$ becomes $6 \frac{6}{5}$.
* $6 - 2 = 4$ and $\frac{6}{5} - \frac{2}{5} = \frac{4}{5}$.
* Answer: $4 \frac{4}{5}$
8. $8 \frac{2}{4} - 4 \frac{3}{4}$
* Borrow 1 from the 8.
* $8 \frac{2}{4}$ becomes $7 \frac{6}{4}$.
* $7 - 4 = 3$ and $\frac{6}{4} - \frac{3}{4} = \frac{3}{4}$.
* Answer: $3 \frac{3}{4}$
Row 4:
9. $6 \frac{3}{5} - 3 \frac{4}{5}$
* Borrow 1 from the 6.
* $6 \frac{3}{5}$ becomes $5 \frac{8}{5}$.
* $5 - 3 = 2$ and $\frac{8}{5} - \frac{4}{5} = \frac{4}{5}$.
* Answer: $2 \frac{4}{5}$
10. $4 \frac{3}{8} - 1 \frac{5}{8}$
* Borrow 1 from the 4.
* $4 \frac{3}{8}$ becomes $3 \frac{11}{8}$.
* $3 - 1 = 2$ and $\frac{11}{8} - \frac{5}{8} = \frac{6}{8}$.
* Simplify $\frac{6}{8}$ to $\frac{3}{4}$.
* Answer: $2 \frac{3}{4}$ (or $2 \frac{6}{8}$)
11. $5 \frac{9}{11} - 3 \frac{10}{11}$
* Borrow 1 from the 5.
* $5 \frac{9}{11}$ becomes $4 \frac{20}{11}$.
* $4 - 3 = 1$ and $\frac{20}{11} - \frac{10}{11} = \frac{10}{11}$.
* Answer: $1 \frac{10}{11}$
Final Answer:
1. $2 \frac{3}{4}$
2. $5 \frac{4}{5}$
3. $1 \frac{5}{8}$
4. $4 \frac{1}{3}$
5. $1 \frac{7}{8}$
6. $4 \frac{2}{3}$
7. $4 \frac{4}{5}$
8. $3 \frac{3}{4}$
9. $2 \frac{4}{5}$
10. $2 \frac{3}{4}$
11. $1 \frac{10}{11}$
Parent Tip: Review the logic above to help your child master the concept of subtracting fractions from whole numbers worksheet.
