Question

1/4 x 4 3/7 convert to mixed number\

Answer 1

To convert \( \frac{1}{4} \times 4 \frac{3}{7} \) to a mixed number, follow these steps:

1. First, convert the mixed number \( 4 \frac{3}{7} \) to an improper fraction:
\[
4 \frac{3}{7} = 4 \times 7 + 3 = 28 + 3 = \frac{31}{7}
\]

2. Now, multiply \( \frac{1}{4} \) by \( \frac{31}{7} \):
\[
\frac{1}{4} \times \frac{31}{7} = \frac{1 \times 31}{4 \times 7} = \frac{31}{28}
\]

3. Next, convert \( \frac{31}{28} \) to a mixed number:
- Divide 31 by 28. The quotient is 1 and the remainder is \( 31 - 28 = 3 \).
- Thus, \( \frac{31}{28} = 1 \frac{3}{28} \).

So, \( \frac{1}{4} \times 4 \frac{3}{7} = 1 \frac{3}{28} \).