Arrange the following numbers in order from least to greatest: \frac{2}{5}, 0.38, 45\%, an… — ACT

Arrange the following numbers in order from least to greatest: $\frac{2}{5}$ , $0.38$ , $45\%$ , and $0.42$ .

The correct order of the values from least to greatest is

0.38

\frac{2}{5}

0.42

, and

45\%

Converting all numbers to decimals allows for direct comparison:

0.38

remains

0.38

; the fraction

\frac{2}{5}

equals

0.40

;

0.42

remains

0.42

; and

45\%

equals

0.45

. Comparing these decimal values, we get

0.38 < 0.40 < 0.42 < 0.45

. Therefore, the correct order from least to greatest is

0.38

\frac{2}{5}

0.42

, and

45\%

Convert the fraction to a decimal.

\frac{2}{5} = 0.40

Converting all values to decimals makes them easier to compare.

Convert the percentage to a decimal.

45\% = 0.45

Percentages represent values out of 100, so

45\% = \frac{45}{100} = 0.45

Compare the four decimal numbers.

0.38 < 0.40 < 0.42 < 0.45

By comparing the tenths and hundredths place, we find the correct order from smallest to largest.

Comparing and ordering fractions, decimals, and percents by converting them to a common decimal format.

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