Explanation:
We need to order each set of fractions from
least to greatest. To do that, we can convert them to decimals or find a common denominator. Let’s use decimals — it’s easier for most students.
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First set:
$\frac{3}{6},\ \frac{3}{4},\ \frac{5}{12}$
- $\frac{3}{6} = 0.5$
- $\frac{3}{4} = 0.75$
- $\frac{5}{12} \approx 0.4167$
So from least to greatest:
$0.4167,\ 0.5,\ 0.75$ → $\frac{5}{12},\ \frac{3}{6},\ \frac{3}{4}$
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Second set:
$\frac{6}{10},\ \frac{1}{10},\ \frac{2}{5}$
- $\frac{6}{10} = 0.6$
- $\frac{1}{10} = 0.1$
- $\frac{2}{5} = 0.4$
Order: $0.1,\ 0.4,\ 0.6$ → $\frac{1}{10},\ \frac{2}{5},\ \frac{6}{10}$
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Third set:
$\frac{4}{5},\ \frac{1}{2},\ \frac{1}{3}$
- $\frac{4}{5} = 0.8$
- $\frac{1}{2} = 0.5$
- $\frac{1}{3} \approx 0.333$
Order: $0.333,\ 0.5,\ 0.8$ → $\frac{1}{3},\ \frac{1}{2},\ \frac{4}{5}$
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Fourth set:
$\frac{1}{5},\ \frac{2}{3},\ \frac{1}{2}$
- $\frac{1}{5} = 0.2$
- $\frac{2}{3} \approx 0.6667$
- $\frac{1}{2} = 0.5$
Order: $0.2,\ 0.5,\ 0.6667$ → $\frac{1}{5},\ \frac{1}{2},\ \frac{2}{3}$
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Fifth set:
$\frac{5}{9},\ \frac{4}{18},\ \frac{3}{6}$
Simplify first:
- $\frac{4}{18} = \frac{2}{9} \approx 0.222$
- $\frac{3}{6} = \frac{1}{2} = 0.5$
- $\frac{5}{9} \approx 0.5556$
So:
$0.222,\ 0.5,\ 0.5556$ → $\frac{4}{18},\ \frac{3}{6},\ \frac{5}{9}$
Double-check:
$\frac{4}{18} = \frac{2}{9} \approx 0.222$, yes
$\frac{3}{6} = 0.5$, yes
$\frac{5}{9} \approx 0.555$, yes — correct order.
Final Answer:
$\frac{5}{12},\ \frac{3}{6},\ \frac{3}{4}$
$\frac{1}{10},\ \frac{2}{5},\ \frac{6}{10}$
$\frac{1}{3},\ \frac{1}{2},\ \frac{4}{5}$
$\frac{1}{5},\ \frac{1}{2},\ \frac{2}{3}$
$\frac{4}{18},\ \frac{3}{6},\ \frac{5}{9}$
Parent Tip: Review the logic above to help your child master the concept of put fractions in order from least to greatest worksheet.
