Ordering Fractions Worksheets - 15 Worksheets Library - Free Printable
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Step-by-step solution for: Ordering Fractions Worksheets - 15 Worksheets Library
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Show Answer Key & Explanations
Step-by-step solution for: Ordering Fractions Worksheets - 15 Worksheets Library
Final Answer:
1) $\frac{1}{12},\ \frac{2}{6},\ \frac{3}{4},\ \frac{4}{9},\ \frac{5}{18}$
2) $\frac{1}{12},\ \frac{3}{12},\ \frac{4}{8},\ \frac{5}{12},\ \frac{7}{16}$
3) $\frac{1}{4},\ \frac{3}{8},\ \frac{4}{10},\ \frac{5}{6},\ \frac{3}{6}$ → corrected: $\frac{1}{4},\ \frac{3}{8},\ \frac{4}{10},\ \frac{3}{6},\ \frac{5}{6}$
Wait — let’s compute each properly.
Actually, to avoid errors, I’ll solve each set carefully by converting to decimals or common denominators.
Let me do Set 1:
$\frac{3}{4}=0.75$, $\frac{2}{6}=\frac{1}{3}\approx0.333$, $\frac{1}{12}\approx0.083$, $\frac{5}{18}\approx0.278$, $\frac{4}{9}\approx0.444$
Order: $0.083,\ 0.278,\ 0.333,\ 0.444,\ 0.75$
→ $\frac{1}{12},\ \frac{5}{18},\ \frac{2}{6},\ \frac{4}{9},\ \frac{3}{4}$
Set 2:
$\frac{4}{8}=0.5$, $\frac{7}{16}=0.4375$, $\frac{5}{12}\approx0.4167$, $\frac{1}{8}=0.125$, $\frac{3}{12}=0.25$
Order: $0.125,\ 0.25,\ 0.4167,\ 0.4375,\ 0.5$
→ $\frac{1}{8},\ \frac{3}{12},\ \frac{5}{12},\ \frac{7}{16},\ \frac{4}{8}$
Set 3:
$\frac{3}{8}=0.375$, $\frac{1}{4}=0.25$, $\frac{4}{10}=0.4$, $\frac{3}{6}=0.5$, $\frac{5}{8}=0.625$
Order: $0.25,\ 0.375,\ 0.4,\ 0.5,\ 0.625$
→ $\frac{1}{4},\ \frac{3}{8},\ \frac{4}{10},\ \frac{3}{6},\ \frac{5}{8}$
Set 4:
$\frac{2}{5}=0.4$, $\frac{9}{15}=0.6$, $\frac{8}{10}=0.8$, $\frac{7}{20}=0.35$, $\frac{1}{5}=0.2$
Order: $0.2,\ 0.35,\ 0.4,\ 0.6,\ 0.8$
→ $\frac{1}{5},\ \frac{7}{20},\ \frac{2}{5},\ \frac{9}{15},\ \frac{8}{10}$
Set 5:
$\frac{4}{9}\approx0.444$, $\frac{9}{12}=0.75$, $\frac{5}{6}\approx0.833$, $\frac{3}{18}=0.1667$, $\frac{1}{3}\approx0.333$
Order: $0.1667,\ 0.333,\ 0.444,\ 0.75,\ 0.833$
→ $\frac{3}{18},\ \frac{1}{3},\ \frac{4}{9},\ \frac{9}{12},\ \frac{5}{6}$
Set 6:
$\frac{5}{8}=0.625$, $\frac{7}{16}=0.4375$, $\frac{3}{4}=0.75$, $\frac{1}{4}=0.25$, $\frac{12}{24}=0.5$
Order: $0.25,\ 0.4375,\ 0.5,\ 0.625,\ 0.75$
→ $\frac{1}{4},\ \frac{7}{16},\ \frac{12}{24},\ \frac{5}{8},\ \frac{3}{4}$
Set 7:
$\frac{7}{10}=0.7$, $\frac{2}{5}=0.4$, $\frac{9}{20}=0.45$, $\frac{5}{15}=\frac{1}{3}\approx0.333$, $\frac{10}{20}=0.5$
Order: $0.333,\ 0.4,\ 0.45,\ 0.5,\ 0.7$
→ $\frac{5}{15},\ \frac{2}{5},\ \frac{9}{20},\ \frac{10}{20},\ \frac{7}{10}$
Set 8:
$\frac{9}{15}=0.6$, $\frac{5}{12}\approx0.4167$, $\frac{7}{18}\approx0.3889$, $\frac{4}{9}\approx0.444$, $\frac{1}{6}\approx0.1667$
Order: $0.1667,\ 0.3889,\ 0.4167,\ 0.444,\ 0.6$
→ $\frac{1}{6},\ \frac{7}{18},\ \frac{5}{12},\ \frac{4}{9},\ \frac{9}{15}$
Set 9:
$\frac{4}{9}\approx0.444$, $\frac{2}{6}=\frac{1}{3}\approx0.333$, $\frac{15}{21}=\frac{5}{7}\approx0.714$, $\frac{7}{12}\approx0.583$, $\frac{9}{18}=0.5$
Order: $0.333,\ 0.444,\ 0.5,\ 0.583,\ 0.714$
→ $\frac{2}{6},\ \frac{4}{9},\ \frac{9}{18},\ \frac{7}{12},\ \frac{15}{21}$
Set 10:
$\frac{1}{25}=0.04$, $\frac{7}{15}\approx0.4667$, $\frac{9}{25}=0.36$, $\frac{3}{10}=0.3$, $\frac{2}{5}=0.4$
Order: $0.04,\ 0.3,\ 0.36,\ 0.4,\ 0.4667$
→ $\frac{1}{25},\ \frac{3}{10},\ \frac{9}{25},\ \frac{2}{5},\ \frac{7}{15}$
Now format final answers cleanly:
1) $\frac{1}{12},\ \frac{5}{18},\ \frac{2}{6},\ \frac{4}{9},\ \frac{3}{4}$
2) $\frac{1}{8},\ \frac{3}{12},\ \frac{5}{12},\ \frac{7}{16},\ \frac{4}{8}$
3) $\frac{1}{4},\ \frac{3}{8},\ \frac{4}{10},\ \frac{3}{6},\ \frac{5}{8}$
4) $\frac{1}{5},\ \frac{7}{20},\ \frac{2}{5},\ \frac{9}{15},\ \frac{8}{10}$
5) $\frac{3}{18},\ \frac{1}{3},\ \frac{4}{9},\ \frac{9}{12},\ \frac{5}{6}$
6) $\frac{1}{4},\ \frac{7}{16},\ \frac{12}{24},\ \frac{5}{8},\ \frac{3}{4}$
7) $\frac{5}{15},\ \frac{2}{5},\ \frac{9}{20},\ \frac{10}{20},\ \frac{7}{10}$
8) $\frac{1}{6},\ \frac{7}{18},\ \frac{5}{12},\ \frac{4}{9},\ \frac{9}{15}$
9) $\frac{2}{6},\ \frac{4}{9},\ \frac{9}{18},\ \frac{7}{12},\ \frac{15}{21}$
10) $\frac{1}{25},\ \frac{3}{10},\ \frac{9}{25},\ \frac{2}{5},\ \frac{7}{15}$
Final Answer:
1) $\frac{1}{12},\ \frac{5}{18},\ \frac{2}{6},\ \frac{4}{9},\ \frac{3}{4}$
2) $\frac{1}{8},\ \frac{3}{12},\ \frac{5}{12},\ \frac{7}{16},\ \frac{4}{8}$
3) $\frac{1}{4},\ \frac{3}{8},\ \frac{4}{10},\ \frac{3}{6},\ \frac{5}{8}$
4) $\frac{1}{5},\ \frac{7}{20},\ \frac{2}{5},\ \frac{9}{15},\ \frac{8}{10}$
5) $\frac{3}{18},\ \frac{1}{3},\ \frac{4}{9},\ \frac{9}{12},\ \frac{5}{6}$
6) $\frac{1}{4},\ \frac{7}{16},\ \frac{12}{24},\ \frac{5}{8},\ \frac{3}{4}$
7) $\frac{5}{15},\ \frac{2}{5},\ \frac{9}{20},\ \frac{10}{20},\ \frac{7}{10}$
8) $\frac{1}{6},\ \frac{7}{18},\ \frac{5}{12},\ \frac{4}{9},\ \frac{9}{15}$
9) $\frac{2}{6},\ \frac{4}{9},\ \frac{9}{18},\ \frac{7}{12},\ \frac{15}{21}$
10) $\frac{1}{25},\ \frac{3}{10},\ \frac{9}{25},\ \frac{2}{5},\ \frac{7}{15}$
1) $\frac{1}{12},\ \frac{2}{6},\ \frac{3}{4},\ \frac{4}{9},\ \frac{5}{18}$
2) $\frac{1}{12},\ \frac{3}{12},\ \frac{4}{8},\ \frac{5}{12},\ \frac{7}{16}$
3) $\frac{1}{4},\ \frac{3}{8},\ \frac{4}{10},\ \frac{5}{6},\ \frac{3}{6}$ → corrected: $\frac{1}{4},\ \frac{3}{8},\ \frac{4}{10},\ \frac{3}{6},\ \frac{5}{6}$
Wait — let’s compute each properly.
Actually, to avoid errors, I’ll solve each set carefully by converting to decimals or common denominators.
Let me do Set 1:
$\frac{3}{4}=0.75$, $\frac{2}{6}=\frac{1}{3}\approx0.333$, $\frac{1}{12}\approx0.083$, $\frac{5}{18}\approx0.278$, $\frac{4}{9}\approx0.444$
Order: $0.083,\ 0.278,\ 0.333,\ 0.444,\ 0.75$
→ $\frac{1}{12},\ \frac{5}{18},\ \frac{2}{6},\ \frac{4}{9},\ \frac{3}{4}$
Set 2:
$\frac{4}{8}=0.5$, $\frac{7}{16}=0.4375$, $\frac{5}{12}\approx0.4167$, $\frac{1}{8}=0.125$, $\frac{3}{12}=0.25$
Order: $0.125,\ 0.25,\ 0.4167,\ 0.4375,\ 0.5$
→ $\frac{1}{8},\ \frac{3}{12},\ \frac{5}{12},\ \frac{7}{16},\ \frac{4}{8}$
Set 3:
$\frac{3}{8}=0.375$, $\frac{1}{4}=0.25$, $\frac{4}{10}=0.4$, $\frac{3}{6}=0.5$, $\frac{5}{8}=0.625$
Order: $0.25,\ 0.375,\ 0.4,\ 0.5,\ 0.625$
→ $\frac{1}{4},\ \frac{3}{8},\ \frac{4}{10},\ \frac{3}{6},\ \frac{5}{8}$
Set 4:
$\frac{2}{5}=0.4$, $\frac{9}{15}=0.6$, $\frac{8}{10}=0.8$, $\frac{7}{20}=0.35$, $\frac{1}{5}=0.2$
Order: $0.2,\ 0.35,\ 0.4,\ 0.6,\ 0.8$
→ $\frac{1}{5},\ \frac{7}{20},\ \frac{2}{5},\ \frac{9}{15},\ \frac{8}{10}$
Set 5:
$\frac{4}{9}\approx0.444$, $\frac{9}{12}=0.75$, $\frac{5}{6}\approx0.833$, $\frac{3}{18}=0.1667$, $\frac{1}{3}\approx0.333$
Order: $0.1667,\ 0.333,\ 0.444,\ 0.75,\ 0.833$
→ $\frac{3}{18},\ \frac{1}{3},\ \frac{4}{9},\ \frac{9}{12},\ \frac{5}{6}$
Set 6:
$\frac{5}{8}=0.625$, $\frac{7}{16}=0.4375$, $\frac{3}{4}=0.75$, $\frac{1}{4}=0.25$, $\frac{12}{24}=0.5$
Order: $0.25,\ 0.4375,\ 0.5,\ 0.625,\ 0.75$
→ $\frac{1}{4},\ \frac{7}{16},\ \frac{12}{24},\ \frac{5}{8},\ \frac{3}{4}$
Set 7:
$\frac{7}{10}=0.7$, $\frac{2}{5}=0.4$, $\frac{9}{20}=0.45$, $\frac{5}{15}=\frac{1}{3}\approx0.333$, $\frac{10}{20}=0.5$
Order: $0.333,\ 0.4,\ 0.45,\ 0.5,\ 0.7$
→ $\frac{5}{15},\ \frac{2}{5},\ \frac{9}{20},\ \frac{10}{20},\ \frac{7}{10}$
Set 8:
$\frac{9}{15}=0.6$, $\frac{5}{12}\approx0.4167$, $\frac{7}{18}\approx0.3889$, $\frac{4}{9}\approx0.444$, $\frac{1}{6}\approx0.1667$
Order: $0.1667,\ 0.3889,\ 0.4167,\ 0.444,\ 0.6$
→ $\frac{1}{6},\ \frac{7}{18},\ \frac{5}{12},\ \frac{4}{9},\ \frac{9}{15}$
Set 9:
$\frac{4}{9}\approx0.444$, $\frac{2}{6}=\frac{1}{3}\approx0.333$, $\frac{15}{21}=\frac{5}{7}\approx0.714$, $\frac{7}{12}\approx0.583$, $\frac{9}{18}=0.5$
Order: $0.333,\ 0.444,\ 0.5,\ 0.583,\ 0.714$
→ $\frac{2}{6},\ \frac{4}{9},\ \frac{9}{18},\ \frac{7}{12},\ \frac{15}{21}$
Set 10:
$\frac{1}{25}=0.04$, $\frac{7}{15}\approx0.4667$, $\frac{9}{25}=0.36$, $\frac{3}{10}=0.3$, $\frac{2}{5}=0.4$
Order: $0.04,\ 0.3,\ 0.36,\ 0.4,\ 0.4667$
→ $\frac{1}{25},\ \frac{3}{10},\ \frac{9}{25},\ \frac{2}{5},\ \frac{7}{15}$
Now format final answers cleanly:
1) $\frac{1}{12},\ \frac{5}{18},\ \frac{2}{6},\ \frac{4}{9},\ \frac{3}{4}$
2) $\frac{1}{8},\ \frac{3}{12},\ \frac{5}{12},\ \frac{7}{16},\ \frac{4}{8}$
3) $\frac{1}{4},\ \frac{3}{8},\ \frac{4}{10},\ \frac{3}{6},\ \frac{5}{8}$
4) $\frac{1}{5},\ \frac{7}{20},\ \frac{2}{5},\ \frac{9}{15},\ \frac{8}{10}$
5) $\frac{3}{18},\ \frac{1}{3},\ \frac{4}{9},\ \frac{9}{12},\ \frac{5}{6}$
6) $\frac{1}{4},\ \frac{7}{16},\ \frac{12}{24},\ \frac{5}{8},\ \frac{3}{4}$
7) $\frac{5}{15},\ \frac{2}{5},\ \frac{9}{20},\ \frac{10}{20},\ \frac{7}{10}$
8) $\frac{1}{6},\ \frac{7}{18},\ \frac{5}{12},\ \frac{4}{9},\ \frac{9}{15}$
9) $\frac{2}{6},\ \frac{4}{9},\ \frac{9}{18},\ \frac{7}{12},\ \frac{15}{21}$
10) $\frac{1}{25},\ \frac{3}{10},\ \frac{9}{25},\ \frac{2}{5},\ \frac{7}{15}$
Final Answer:
1) $\frac{1}{12},\ \frac{5}{18},\ \frac{2}{6},\ \frac{4}{9},\ \frac{3}{4}$
2) $\frac{1}{8},\ \frac{3}{12},\ \frac{5}{12},\ \frac{7}{16},\ \frac{4}{8}$
3) $\frac{1}{4},\ \frac{3}{8},\ \frac{4}{10},\ \frac{3}{6},\ \frac{5}{8}$
4) $\frac{1}{5},\ \frac{7}{20},\ \frac{2}{5},\ \frac{9}{15},\ \frac{8}{10}$
5) $\frac{3}{18},\ \frac{1}{3},\ \frac{4}{9},\ \frac{9}{12},\ \frac{5}{6}$
6) $\frac{1}{4},\ \frac{7}{16},\ \frac{12}{24},\ \frac{5}{8},\ \frac{3}{4}$
7) $\frac{5}{15},\ \frac{2}{5},\ \frac{9}{20},\ \frac{10}{20},\ \frac{7}{10}$
8) $\frac{1}{6},\ \frac{7}{18},\ \frac{5}{12},\ \frac{4}{9},\ \frac{9}{15}$
9) $\frac{2}{6},\ \frac{4}{9},\ \frac{9}{18},\ \frac{7}{12},\ \frac{15}{21}$
10) $\frac{1}{25},\ \frac{3}{10},\ \frac{9}{25},\ \frac{2}{5},\ \frac{7}{15}$
Parent Tip: Review the logic above to help your child master the concept of order fractions from least to greatest worksheet.
