Question

convert the following fraction to a decimal.
\\(\frac{9}{16}\\)
\\(\circ\\) a. \\(0.5625\\)
\\(\circ\\) b. \\(0.6375\\)
\\(\circ\\) c. \\(0.9165\\)
\\(\circ\\) d. \\(0.5562\\)

Explanation:

Step1: Recall fraction to decimal conversion

To convert a fraction to a decimal, divide the numerator by the denominator. So for $\frac{9}{16}$, we perform $9 \div 16$.

Step2: Perform the division

$9 \div 16 = 0.5625$ (since $16 \times 0.5 = 8$, $9 - 8 = 1$, bring down a zero to make it 10, $16 \times 0.06 = 0.96$, $10 - 9.6 = 0.4$, bring down a zero to make it 4.0, $16 \times 0.02 = 0.32$, $4.0 - 3.2 = 0.8$, bring down a zero to make it 8.0, $16 \times 0.05 = 0.8$, so adding up $0.5 + 0.06 + 0.02 + 0.05 = 0.5625$).

Answer:

A. 0.5625