2 fraction bars. The first bar is labeled 1 with 8 boxes underneath that are labeled one-eighth. The second bar is labeled 1 with 8 boxes underneath that are labeled one-eighth.

Question

Find the quotient of 2 ÷
3
8
.

The quotient is 5 and
.

Answer 1

To find the quotient of \( 2 \div \frac{3}{8} \), you can follow these steps:

1. Rewrite the division of a fraction as multiplication by its reciprocal: \[ 2 \div \frac{3}{8} = 2 \times \frac{8}{3} \]

2. Convert the whole number \( 2 \) into a fraction: \[ 2 = \frac{2}{1} \]

3. Now multiply the fractions: \[ \frac{2}{1} \times \frac{8}{3} = \frac{2 \times 8}{1 \times 3} = \frac{16}{3} \]

4. Now convert the improper fraction \( \frac{16}{3} \) into a mixed number:

   • Divide 16 by 3, which gives you 5 with a remainder of 1.
   • So, \( \frac{16}{3} = 5 \frac{1}{3} \).

Therefore, the quotient of \( 2 \div \frac{3}{8} \) is \( 5 \frac{1}{3} \).