To multiply \( 2 \frac{1}{4} \) by \( 16 \), first convert the mixed number into an improper fraction. 1. Convert \( 2 \frac{1}{4} \) to an improper fraction: \[ 2 \frac{1}{4} = \frac{(2 \times 4) + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4} \] 2. Now multiply \( \frac{9}{4} \) by \( 16 \): \[ \frac{9}{4} \times 16 = \frac{9 \times 16}{4} \] \[ = \frac{144}{4} = 36 \] Therefore, \( 2 \frac{1}{4} \times 16 = 36 \).

2 1/4 x 16

1 answer

To multiply \( 2 \frac{1}{4} \) by \( 16 \), first convert the mixed number into an improper fraction.

Convert \( 2 \frac{1}{4} \) to an improper fraction: \[ 2 \frac{1}{4} = \frac{(2 \times 4) + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4} \]
Now multiply \( \frac{9}{4} \) by \( 16 \): \[ \frac{9}{4} \times 16 = \frac{9 \times 16}{4} \] \[ = \frac{144}{4} = 36 \]

Therefore, \( 2 \frac{1}{4} \times 16 = 36 \).