Question

Multiply 7/8
by 3 1/2
. Convert the product to be a mixed number.(1 point)
Responses

438
4 Start Fraction 3 over 8 End Fraction

Answer 1

To multiply \( \frac{7}{8} \) by \( 3 \frac{1}{2} \), we first need to convert the mixed number \( 3 \frac{1}{2} \) into an improper fraction.

1. Convert \( 3 \frac{1}{2} \):
- Multiply the whole number (3) by the denominator (2): \( 3 \times 2 = 6 \).
- Add the numerator (1): \( 6 + 1 = 7 \).
- So, \( 3 \frac{1}{2} = \frac{7}{2} \).

2. Now multiply \( \frac{7}{8} \) by \( \frac{7}{2} \):
\[
\frac{7}{8} \times \frac{7}{2} = \frac{7 \times 7}{8 \times 2} = \frac{49}{16}.
\]

3. Convert \( \frac{49}{16} \) to a mixed number:
- Divide 49 by 16: \( 49 \div 16 = 3 \) (whole part), remainder is 1.
- So, \( \frac{49}{16} = 3 \frac{1}{16} \).

Thus, the product of \( \frac{7}{8} \times 3 \frac{1}{2} \) is \( 3 \frac{1}{16} \).