Subtract mixed fractions worksheet - Free Printable

Let's solve each of these mixed fraction subtraction problems step by step. The general approach is:

1. Convert mixed numbers to improper fractions.
2. Find a common denominator.
3. Subtract the fractions.
4. Simplify the result, and convert back to a mixed number if needed.

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Problem 1:

$$
8\frac{4}{5} - 1\frac{2}{4}
$$

Step 1: Convert to improper fractions

- $8\frac{4}{5} = \frac{8 \times 5 + 4}{5} = \frac{40 + 4}{5} = \frac{44}{5}$
- $1\frac{2}{4} = \frac{1 \times 4 + 2}{4} = \frac{6}{4}$

Step 2: Simplify and find common denominator

- $\frac{6}{4} = \frac{3}{2}$ (simplify)
- Common denominator of 5 and 2 is 10

Now:
- $\frac{44}{5} = \frac{44 \times 2}{10} = \frac{88}{10}$
- $\frac{3}{2} = \frac{3 \times 5}{10} = \frac{15}{10}$

Step 3: Subtract
$$
\frac{88}{10} - \frac{15}{10} = \frac{73}{10}
$$

Step 4: Convert to mixed number
$$
\frac{73}{10} = 7\frac{3}{10}
$$

✔ Answer: $7\frac{3}{10}$

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Problem 2:

$$
7\frac{2}{4} - 3\frac{5}{10}
$$

Step 1: Simplify and convert

- $7\frac{2}{4} = 7\frac{1}{2}$ (simplify $\frac{2}{4}$)
- $3\frac{5}{10} = 3\frac{1}{2}$ (simplify $\frac{5}{10}$)

So now:
$$
7\frac{1}{2} - 3\frac{1}{2}
$$

Subtract whole numbers and fractions:
- $7 - 3 = 4$
- $\frac{1}{2} - \frac{1}{2} = 0$

✔ Answer: $4$

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Problem 3:

$$
5\frac{8}{10} - 3\frac{2}{3}
$$

Step 1: Simplify and convert

- $5\frac{8}{10} = 5\frac{4}{5}$ (simplify $\frac{8}{10}$)
- $3\frac{2}{3}$ stays as is

Now:
- $5\frac{4}{5} = \frac{5 \times 5 + 4}{5} = \frac{29}{5}$
- $3\frac{2}{3} = \frac{3 \times 3 + 2}{3} = \frac{11}{3}$

Step 2: Common denominator

LCM of 5 and 3 is 15

- $\frac{29}{5} = \frac{29 \times 3}{15} = \frac{87}{15}$
- $\frac{11}{3} = \frac{11 \times 5}{15} = \frac{55}{15}$

Step 3: Subtract
$$
\frac{87}{15} - \frac{55}{15} = \frac{32}{15}
$$

Step 4: Convert to mixed number
$$
\frac{32}{15} = 2\frac{2}{15}
$$

✔ Answer: $2\frac{2}{15}$

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Problem 4:

$$
6\frac{1}{2} - 3\frac{5}{10}
$$

Step 1: Simplify

- $3\frac{5}{10} = 3\frac{1}{2}$

So:
$$
6\frac{1}{2} - 3\frac{1}{2}
$$

Subtract:
- $6 - 3 = 3$
- $\frac{1}{2} - \frac{1}{2} = 0$

✔ Answer: $3$

---

Problem 5:

$$
8\frac{3}{4} - 2\frac{1}{2}
$$

Step 1: Convert to improper fractions

- $8\frac{3}{4} = \frac{8 \times 4 + 3}{4} = \frac{35}{4}$
- $2\frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2}$

Step 2: Common denominator

LCM of 4 and 2 is 4

- $\frac{5}{2} = \frac{10}{4}$

Step 3: Subtract
$$
\frac{35}{4} - \frac{10}{4} = \frac{25}{4}
$$

Step 4: Convert to mixed number
$$
\frac{25}{4} = 6\frac{1}{4}
$$

✔ Answer: $6\frac{1}{4}$

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✔ Final Answers:

1) $7\frac{3}{10}$
2) $4$
3) $2\frac{2}{15}$
4) $3$
5) $6\frac{1}{4}$

Let me know if you'd like this in a printable format or with visual steps!