Arrange the following fractions in ascending order: $\frac{1}{2}$, $\frac{2}{9}$, $\frac{3}{8}$, $\frac{1}{12}$, and $\frac{2}{5}$.
Understand the Problem
The question asks to arrange the given fractions in ascending order. This requires comparing the fractions and ordering them from the smallest to the largest.
Answer
$\frac{1}{12}, \frac{2}{9}, \frac{3}{8}, \frac{2}{5}, \frac{1}{2}$
Answer for screen readers
$\frac{1}{12}, \frac{2}{9}, \frac{3}{8}, \frac{2}{5}, \frac{1}{2}$
Steps to Solve
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Convert the fractions to decimals Convert each fraction to its decimal equivalent. This makes it easier to compare them. $\frac{1}{2} = 0.5$ $\frac{2}{9} = 0.222... \approx 0.22$ $\frac{3}{8} = 0.375 \approx 0.38$ $\frac{1}{12} = 0.0833... \approx 0.08$ $\frac{2}{5} = 0.4$
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Arrange the decimals in ascending order Now we arrange the decimal values from smallest to largest. $0.08 < 0.22 < 0.38 < 0.4 < 0.5$
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Restore the original fractions Replace the decimal values with their corresponding fractions $\frac{1}{12} < \frac{2}{9} < \frac{3}{8} < \frac{2}{5} < \frac{1}{2}$
$\frac{1}{12}, \frac{2}{9}, \frac{3}{8}, \frac{2}{5}, \frac{1}{2}$
More Information
Ascending order means arranging from the smallest to the largest value. Converting fractions to decimals is a common strategy for comparing them.
Tips
A common mistake is to misunderstand the meaning of ascending order and arrange the numbers from largest to smallest. Another mistake might arise from incorrectly converting fractions to decimals, leading to an incorrect order.
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