Questions: Subtract. Enter the difference as a mixed number. 15 2/5 - 7 4/5 =

Solution Steps

To solve this problem, first convert the mixed numbers into improper fractions. Then, perform the subtraction of the fractions. Finally, convert the result back into a mixed number.

To subtract the mixed numbers, first convert them to improper fractions. The mixed number \(15 \frac{2}{5}\) can be converted to an improper fraction as follows: \[ 15 \frac{2}{5} = \frac{15 \times 5 + 2}{5} = \frac{77}{5} \] Similarly, convert \(7 \frac{4}{5}\) to an improper fraction: \[ 7 \frac{4}{5} = \frac{7 \times 5 + 4}{5} = \frac{39}{5} \]

Subtract the second improper fraction from the first: \[ \frac{77}{5} - \frac{39}{5} = \frac{77 - 39}{5} = \frac{38}{5} \]

Convert the resulting improper fraction \(\frac{38}{5}\) back to a mixed number. Divide the numerator by the denominator: \[ 38 \div 5 = 7 \quad \text{remainder} \quad 3 \] Thus, \(\frac{38}{5}\) can be expressed as the mixed number: \[ 7 \frac{3}{5} \]

Final Answer