Question

2 3/7 x 5/9

Answer 1

To multiply the mixed number \(2 \frac{3}{7}\) by the fraction \(\frac{5}{9}\), we first need to convert the mixed number into an improper fraction.

1. Convert the mixed number \(2 \frac{3}{7}\):
\[
2 \frac{3}{7} = \frac{(2 \times 7) + 3}{7} = \frac{14 + 3}{7} = \frac{17}{7}
\]

2. Now we can multiply the two fractions:
\[
\frac{17}{7} \times \frac{5}{9} = \frac{17 \times 5}{7 \times 9} = \frac{85}{63}
\]

3. The fraction \(\frac{85}{63}\) is already in its simplest form, but we can also express it as a mixed number:
\[
85 \div 63 = 1 \quad \text{(remainder 22)}
\]
Thus,
\[
\frac{85}{63} = 1 \frac{22}{63}
\]

Therefore, \(2 \frac{3}{7} \times \frac{5}{9} = \frac{85}{63}\) or \(1 \frac{22}{63}\).