Here are the step-by-step solutions for the subtraction problems shown in the worksheet. Since all the fractions in each problem have the same denominator (the bottom number), we can subtract them directly.
1) $8 \frac{4}{5} - 3 \frac{1}{5}$
* Subtract whole numbers: $8 - 3 = 5$
* Subtract fractions: $\frac{4}{5} - \frac{1}{5} = \frac{3}{5}$
*
Answer: $5 \frac{3}{5}$
2) $5 \frac{1}{2} - 1 \frac{1}{2}$
* Subtract whole numbers: $5 - 1 = 4$
* Subtract fractions: $\frac{1}{2} - \frac{1}{2} = 0$
*
Answer: $4$
3) $4 \frac{6}{7} - 2 \frac{2}{7}$
* Subtract whole numbers: $4 - 2 = 2$
* Subtract fractions: $\frac{6}{7} - \frac{2}{7} = \frac{4}{7}$
*
Answer: $2 \frac{4}{7}$
4) $9 \frac{9}{11} - 6 \frac{4}{11}$
* Subtract whole numbers: $9 - 6 = 3$
* Subtract fractions: $\frac{9}{11} - \frac{4}{11} = \frac{5}{11}$
*
Answer: $3 \frac{5}{11}$
5) $6 \frac{3}{4} - 1 \frac{2}{4}$
* Subtract whole numbers: $6 - 1 = 5$
* Subtract fractions: $\frac{3}{4} - \frac{2}{4} = \frac{1}{4}$
*
Answer: $5 \frac{1}{4}$
6) $7 \frac{8}{9} - 3 \frac{5}{9}$
* Subtract whole numbers: $7 - 3 = 4$
* Subtract fractions: $\frac{8}{9} - \frac{5}{9} = \frac{3}{9}$
* Simplify fraction: $\frac{3}{9}$ simplifies to $\frac{1}{3}$ (divide top and bottom by 3).
*
Answer: $4 \frac{1}{3}$
7) $8 \frac{9}{12} - 2 \frac{2}{12}$
* Subtract whole numbers: $8 - 2 = 6$
* Subtract fractions: $\frac{9}{12} - \frac{2}{12} = \frac{7}{12}$
*
Answer: $6 \frac{7}{12}$
8) $9 \frac{5}{6} - 8 \frac{5}{6}$
* Subtract whole numbers: $9 - 8 = 1$
* Subtract fractions: $\frac{5}{6} - \frac{5}{6} = 0$
*
Answer: $1$
9) $1 \frac{2}{3} - 1 \frac{1}{3}$
* Subtract whole numbers: $1 - 1 = 0$
* Subtract fractions: $\frac{2}{3} - \frac{1}{3} = \frac{1}{3}$
*
Answer: $\frac{1}{3}$
10) $4 \frac{7}{10} - 1 \frac{4}{10}$
* Subtract whole numbers: $4 - 1 = 3$
* Subtract fractions: $\frac{7}{10} - \frac{4}{10} = \frac{3}{10}$
*
Answer: $3 \frac{3}{10}$
11) $9 \frac{5}{8} - 8 \frac{2}{8}$
* Subtract whole numbers: $9 - 8 = 1$
* Subtract fractions: $\frac{5}{8} - \frac{2}{8} = \frac{3}{8}$
*
Answer: $1 \frac{3}{8}$
12) $6 \frac{3}{5} - 3 \frac{2}{5}$
* Subtract whole numbers: $6 - 3 = 3$
* Subtract fractions: $\frac{3}{5} - \frac{2}{5} = \frac{1}{5}$
*
Answer: $3 \frac{1}{5}$
13) $4 \frac{10}{11} - 4 \frac{9}{11}$
* Subtract whole numbers: $4 - 4 = 0$
* Subtract fractions: $\frac{10}{11} - \frac{9}{11} = \frac{1}{11}$
*
Answer: $\frac{1}{11}$
14) $9 \frac{3}{4} - 7 \frac{2}{4}$
* Subtract whole numbers: $9 - 7 = 2$
* Subtract fractions: $\frac{3}{4} - \frac{2}{4} = \frac{1}{4}$
*
Answer: $2 \frac{1}{4}$
Final Answer:
1) 5 3/5
2) 4
3) 2 4/7
4) 3 5/11
5) 5 1/4
6) 4 1/3
7) 6 7/12
8) 1
9) 1/3
10) 3 3/10
11) 1 3/8
12) 3 1/5
13) 1/11
14) 2 1/4
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting mixed fractions worksheet.