Question

which of the decimals or fractions is equivalent to neither 0.825 nor \\(\frac{5}{8}\\)?
\\(\circ\\) 0.625
\\(\circ\\) 0.85
\\(\circ\\) \\(\frac{33}{40}\\)
\\(\circ\\) \\(\frac{10}{16}\\)

Explanation:

Step1: Convert $\frac{5}{8}$ to decimal

$\frac{5}{8} = 5 \div 8 = 0.625$

Step2: Convert $\frac{33}{40}$ to decimal

$\frac{33}{40} = 33 \div 40 = 0.825$

Step3: Convert $\frac{10}{16}$ to decimal

$\frac{10}{16} = 10 \div 16 = 0.625$

Step4: Match values to the criteria

We need a value equal to neither 0.825 nor 0.625.

• 0.625 = $\frac{5}{8}$, so it is equivalent to $\frac{5}{8}$
• $\frac{33}{40}$ = 0.825, so it is equivalent to 0.825
• $\frac{10}{16}$ = 0.625, so it is equivalent to $\frac{5}{8}$
• 0.85 does not match either value.

Answer:

0.85