Four numerical values are given below. Arrange these values in order from least to greates… — ACT

Four numerical values are given below. Arrange these values in order from least to greatest.

The correct order from least to greatest is

55\%

0.565

\frac{4}{7}

, and

\frac{3}{5}

Converting each quantity into a decimal format yields

55\% = 0.55

0.565 = 0.565

\frac{4}{7} \approx 0.5714

, and

\frac{3}{5} = 0.60

. Ordering these decimal values from least to greatest yields

0.55 < 0.565 < 0.5714 < 0.60

, which corresponds to the sequence

55\%, 0.565, \frac{4}{7}, \frac{3}{5}

Convert the percentage to a decimal.

55\% = \frac{55}{100} = 0.55

Converting all values to decimals provides a uniform scale for direct comparison.

Convert the fractions to decimals.

\frac{4}{7} \approx 0.5714

and

\frac{3}{5} = 0.60

Dividing the numerator by the denominator converts each fraction into decimal form.

Compare all four decimal values:

0.55

0.565

0.5714

, and

0.60

0.55 < 0.565 < 0.5714 < 0.60

Aligning decimal places shows that

0.5500 < 0.5650 < 0.5714 < 0.6000

Map the ordered decimal values back to their original forms.

55\% < 0.565 < \frac{4}{7} < \frac{3}{5}

Replacing each decimal with its original representation produces the required sequence.

Converting fractions, decimals, and percents to a common representation (decimals) to compare and order them.

Question