5 1/3•3/8

To multiply \( 5 \frac{1}{3} \) by \( \frac{3}{8} \), first convert \( 5 \frac{1}{3} \) to an improper fraction.

1. Convert the mixed number \( 5 \frac{1}{3} \):

   • Multiply the whole number part (5) by the denominator (3): \( 5 \times 3 = 15 \)
   • Add the numerator (1): \( 15 + 1 = 16 \)
   • So, \( 5 \frac{1}{3} = \frac{16}{3} \)

2. Now multiply \( \frac{16}{3} \) by \( \frac{3}{8} \): \[ \frac{16}{3} \times \frac{3}{8} = \frac{16 \times 3}{3 \times 8} \] The 3 in the numerator and denominator cancel out: \[ = \frac{16}{8} \]

3. Simplify \( \frac{16}{8} \): \[ = 2 \]

Therefore, \( 5 \frac{1}{3} \times \frac{3}{8} = 2 \).