Compare Numbers with 3/8: Sorting Fractions, Decimals, and Percentages

Organise the following values into two groups of values greater than $\frac{3}{8}$ and values less than $\frac{3}{8}$:

$\frac{1}{3},40\%,0.42,36\%,\frac{2}{3}$

To solve this problem, we first convert all the values to decimals to ease comparison with $\frac{3}{8} = 0.375$.

• $\frac{1}{3} \approx 0.333$
• $36\% = 0.36$
• $\frac{2}{3} \approx 0.667$
• $40\% = 0.40$
• $0.42$ remains the same.

Next, we compare each of these converted values to 0.375:

• $0.333 (\frac{1}{3}) < 0.375$
• $0.36 (36\%) < 0.375$
• $0.40 (40\%) > 0.375$
• $0.42 > 0.375$
• $0.667 (\frac{2}{3}) > 0.375$

Therefore, the values less than $\frac{3}{8}$ are $\frac{1}{3}$ and $36\%$, while the values greater than $\frac{3}{8}$ are $40\%$, $0.42$, and $\frac{2}{3}$.

The correct answer choice is:

$36\%,\frac{1}{3}<\frac{3}{8}$

$0.42,40\%,\frac{2}{3}>\frac{3}{8}$