1. **Problem statement:** Find the missing numbers in the subtraction equations involving mixed numbers and fractions.
2. **Recall the subtraction rule:** If $a - x = b$, then $x = a - b$.
3. **Solve each part:**
**a)** $3 - \square = 2 \frac{3}{10}$
Convert mixed number to improper fraction: $2 \frac{3}{10} = \frac{23}{10}$
Express 3 as fraction with denominator 10: $3 = \frac{30}{10}$
Find $\square$:
$$\square = 3 - 2 \frac{3}{10} = \frac{30}{10} - \frac{23}{10} = \frac{30 - 23}{10} = \frac{7}{10}$$
**b)** $4 - \square = 3 \frac{3}{8}$
Convert mixed number: $3 \frac{3}{8} = \frac{27}{8}$
Express 4 as fraction with denominator 8: $4 = \frac{32}{8}$
Find $\square$:
$$\square = 4 - 3 \frac{3}{8} = \frac{32}{8} - \frac{27}{8} = \frac{5}{8}$$
**c)** $\square - \frac{7}{12} = 3 \frac{5}{12}$
Convert mixed number: $3 \frac{5}{12} = \frac{41}{12}$
Find $\square$:
$$\square = 3 \frac{5}{12} + \frac{7}{12} = \frac{41}{12} + \frac{7}{12} = \frac{48}{12} = 4$$
**d)** $\square - \frac{5}{12} = 13 \frac{7}{12}$
Convert mixed number: $13 \frac{7}{12} = \frac{163}{12}$
Find $\square$:
$$\square = 13 \frac{7}{12} + \frac{5}{12} = \frac{163}{12} + \frac{5}{12} = \frac{168}{12} = 14$$
**Final answers:**
- a) $\frac{7}{10}$
- b) $\frac{5}{8}$
- c) $4$
- d) $14$
Missing Subtraction Ba40Da
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