29-Find the difference. \[ 4 \frac{2}{5}-1 \frac{3}{4}=\ldots \ldots \ldots \ldots . . \]

To find the difference \( 4 \frac{2}{5} - 1 \frac{3}{4} \), start by converting the mixed numbers into improper fractions. For \( 4 \frac{2}{5} \): \( 4 \times 5 + 2 = 20 + 2 = 22 \), so it becomes \( \frac{22}{5} \). For \( 1 \frac{3}{4} \): \( 1 \times 4 + 3 = 4 + 3 = 7 \), so it becomes \( \frac{7}{4} \). Next, find a common denominator for \( \frac{22}{5} \) and \( \frac{7}{4} \). The least common multiple of 5 and 4 is 20. Convert both fractions: - \( \frac{22}{5} = \frac{22 \times 4}{5 \times 4} = \frac{88}{20} \) - \( \frac{7}{4} = \frac{7 \times 5}{4 \times 5} = \frac{35}{20} \) Now, subtract the fractions: \[ \frac{88}{20} - \frac{35}{20} = \frac{88 - 35}{20} = \frac{53}{20} \] Finally, convert \( \frac{53}{20} \) back to a mixed number: - \( 53 \div 20 = 2 \) with a remainder of \( 13 \), so it becomes \( 2 \frac{13}{20} \). Thus, the difference is: \[ 4 \frac{2}{5} - 1 \frac{3}{4} = 2 \frac{13}{20} \]