Question

using division to write fractions as decimals - item 52308
\\(\frac{1}{16} = 0.0625\\). which calculation is not a way to find \\(\frac{15}{16}\\)?
\\(15 \cdot 0.0625\\)
\\(0.75 + 3 \cdot 0.0625\\)
\\(16 \div 15\\)
\\(1 - 0.0625\\)

Explanation:

Step1: Analyze \(15 \times 0.0625\)

Since \(\frac{1}{16}=0.0625\), then \(\frac{15}{16}=15\times\frac{1}{16}=15\times0.0625\), so this is a valid way.

Step2: Analyze \(0.75 + 3\times0.0625\)

\(0.75=\frac{12}{16}\) and \(3\times0.0625 = 3\times\frac{1}{16}=\frac{3}{16}\), so \(\frac{12}{16}+\frac{3}{16}=\frac{15}{16}\), this is valid.

Step3: Analyze \(16\div15\)

\(\frac{15}{16}\) as a decimal is \(15\div16\), not \(16\div15\) (which is \(\frac{16}{15}\)), so this is not a way to find \(\frac{15}{16}\).

Step4: Analyze \(1 - 0.0625\)

\(1=\frac{16}{16}\), so \(\frac{16}{16}-\frac{1}{16}=\frac{15}{16}\), this is valid.

Answer:

\(16\div15\) (the option with the calculation \(16\div15\))