Fractions Worksheets | Printable Fractions Worksheets for Teachers - Free Printable
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Step-by-step solution for: Fractions Worksheets | Printable Fractions Worksheets for Teachers
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Show Answer Key & Explanations
Step-by-step solution for: Fractions Worksheets | Printable Fractions Worksheets for Teachers
Explanation:
We are asked to order fractions from least to greatest in each of the 10 problems.
To compare fractions, we can:
- Convert them to decimals (easy with a calculator, but we’ll do it manually or by finding common denominators), or
- Find a common denominator for all fractions in a problem and compare numerators.
Let’s go one problem at a time. We’ll convert each fraction to a decimal (to 3 decimal places) for quick comparison — this is reliable and simple for students.
---
Problem 1:
Fractions:
$\frac{1}{3} \approx 0.333$,
$\frac{5}{8} = 0.625$,
$\frac{1}{10} = 0.1$,
$\frac{1}{8} = 0.125$,
$\frac{3}{5} = 0.6$,
$\frac{7}{8} = 0.875$
Order (smallest → largest):
0.1 ($\frac{1}{10}$),
0.125 ($\frac{1}{8}$),
0.333 ($\frac{1}{3}$),
0.6 ($\frac{3}{5}$),
0.625 ($\frac{5}{8}$),
0.875 ($\frac{7}{8}$)
→ $\frac{1}{10}, \frac{1}{8}, \frac{1}{3}, \frac{3}{5}, \frac{5}{8}, \frac{7}{8}$
---
Problem 2:
$\frac{7}{10} = 0.7$,
$\frac{1}{3} \approx 0.333$,
$\frac{1}{5} = 0.2$,
$\frac{9}{10} = 0.9$
Order:
0.2 ($\frac{1}{5}$),
0.333 ($\frac{1}{3}$),
0.7 ($\frac{7}{10}$),
0.9 ($\frac{9}{10}$)
→ $\frac{1}{5}, \frac{1}{3}, \frac{7}{10}, \frac{9}{10}$
---
Problem 3:
$\frac{1}{10} = 0.1$,
$\frac{1}{3} \approx 0.333$,
$\frac{3}{10} = 0.3$,
$\frac{1}{4} = 0.25$
Order:
0.1 ($\frac{1}{10}$),
0.25 ($\frac{1}{4}$),
0.3 ($\frac{3}{10}$),
0.333 ($\frac{1}{3}$)
→ $\frac{1}{10}, \frac{1}{4}, \frac{3}{10}, \frac{1}{3}$
---
Problem 4:
$\frac{1}{2} = 0.5$,
$\frac{3}{4} = 0.75$,
$\frac{1}{3} \approx 0.333$
Order:
0.333 ($\frac{1}{3}$),
0.5 ($\frac{1}{2}$),
0.75 ($\frac{3}{4}$)
→ $\frac{1}{3}, \frac{1}{2}, \frac{3}{4}$
---
Problem 5:
$\frac{1}{10} = 0.1$,
$\frac{7}{8} = 0.875$,
$\frac{1}{5} = 0.2$
Order:
0.1 ($\frac{1}{10}$),
0.2 ($\frac{1}{5}$),
0.875 ($\frac{7}{8}$)
→ $\frac{1}{10}, \frac{1}{5}, \frac{7}{8}$
---
Problem 6:
$\frac{1}{4} = 0.25$,
$\frac{1}{8} = 0.125$,
$\frac{7}{10} = 0.7$,
$\frac{3}{8} = 0.375$,
$\frac{5}{8} = 0.625$
Order:
0.125 ($\frac{1}{8}$),
0.25 ($\frac{1}{4}$),
0.375 ($\frac{3}{8}$),
0.625 ($\frac{5}{8}$),
0.7 ($\frac{7}{10}$)
→ $\frac{1}{8}, \frac{1}{4}, \frac{3}{8}, \frac{5}{8}, \frac{7}{10}$
---
Problem 7:
$\frac{1}{4} = 0.25$,
$\frac{4}{5} = 0.8$,
$\frac{2}{5} = 0.4$,
$\frac{5}{8} = 0.625$,
$\frac{3}{5} = 0.6$,
$\frac{1}{10} = 0.1$
Order:
0.1 ($\frac{1}{10}$),
0.25 ($\frac{1}{4}$),
0.4 ($\frac{2}{5}$),
0.6 ($\frac{3}{5}$),
0.625 ($\frac{5}{8}$),
0.8 ($\frac{4}{5}$)
→ $\frac{1}{10}, \frac{1}{4}, \frac{2}{5}, \frac{3}{5}, \frac{5}{8}, \frac{4}{5}$
---
Problem 8:
$\frac{7}{8} = 0.875$,
$\frac{3}{4} = 0.75$,
$\frac{9}{10} = 0.9$,
$\frac{1}{4} = 0.25$,
$\frac{2}{5} = 0.4$
Order:
0.25 ($\frac{1}{4}$),
0.4 ($\frac{2}{5}$),
0.75 ($\frac{3}{4}$),
0.875 ($\frac{7}{8}$),
0.9 ($\frac{9}{10}$)
→ $\frac{1}{4}, \frac{2}{5}, \frac{3}{4}, \frac{7}{8}, \frac{9}{10}$
---
Problem 9:
$\frac{7}{10} = 0.7$,
$\frac{1}{3} \approx 0.333$,
$\frac{3}{8} = 0.375$,
$\frac{1}{2} = 0.5$,
$\frac{1}{10} = 0.1$,
$\frac{3}{4} = 0.75$
Order:
0.1 ($\frac{1}{10}$),
0.333 ($\frac{1}{3}$),
0.375 ($\frac{3}{8}$),
0.5 ($\frac{1}{2}$),
0.7 ($\frac{7}{10}$),
0.75 ($\frac{3}{4}$)
→ $\frac{1}{10}, \frac{1}{3}, \frac{3}{8}, \frac{1}{2}, \frac{7}{10}, \frac{3}{4}$
---
Problem 10:
$\frac{7}{10} = 0.7$,
$\frac{4}{5} = 0.8$,
$\frac{9}{10} = 0.9$,
$\frac{3}{8} = 0.375$,
$\frac{7}{8} = 0.875$
Order:
0.375 ($\frac{3}{8}$),
0.7 ($\frac{7}{10}$),
0.8 ($\frac{4}{5}$),
0.875 ($\frac{7}{8}$),
0.9 ($\frac{9}{10}$)
→ $\frac{3}{8}, \frac{7}{10}, \frac{4}{5}, \frac{7}{8}, \frac{9}{10}$
Now double-check each list for correctness — all seem consistent.
Final Answer:
1) $\frac{1}{10}, \frac{1}{8}, \frac{1}{3}, \frac{3}{5}, \frac{5}{8}, \frac{7}{8}$
2) $\frac{1}{5}, \frac{1}{3}, \frac{7}{10}, \frac{9}{10}$
3) $\frac{1}{10}, \frac{1}{4}, \frac{3}{10}, \frac{1}{3}$
4) $\frac{1}{3}, \frac{1}{2}, \frac{3}{4}$
5) $\frac{1}{10}, \frac{1}{5}, \frac{7}{8}$
6) $\frac{1}{8}, \frac{1}{4}, \frac{3}{8}, \frac{5}{8}, \frac{7}{10}$
7) $\frac{1}{10}, \frac{1}{4}, \frac{2}{5}, \frac{3}{5}, \frac{5}{8}, \frac{4}{5}$
8) $\frac{1}{4}, \frac{2}{5}, \frac{3}{4}, \frac{7}{8}, \frac{9}{10}$
9) $\frac{1}{10}, \frac{1}{3}, \frac{3}{8}, \frac{1}{2}, \frac{7}{10}, \frac{3}{4}$
10) $\frac{3}{8}, \frac{7}{10}, \frac{4}{5}, \frac{7}{8}, \frac{9}{10}$
We are asked to order fractions from least to greatest in each of the 10 problems.
To compare fractions, we can:
- Convert them to decimals (easy with a calculator, but we’ll do it manually or by finding common denominators), or
- Find a common denominator for all fractions in a problem and compare numerators.
Let’s go one problem at a time. We’ll convert each fraction to a decimal (to 3 decimal places) for quick comparison — this is reliable and simple for students.
---
Problem 1:
Fractions:
$\frac{1}{3} \approx 0.333$,
$\frac{5}{8} = 0.625$,
$\frac{1}{10} = 0.1$,
$\frac{1}{8} = 0.125$,
$\frac{3}{5} = 0.6$,
$\frac{7}{8} = 0.875$
Order (smallest → largest):
0.1 ($\frac{1}{10}$),
0.125 ($\frac{1}{8}$),
0.333 ($\frac{1}{3}$),
0.6 ($\frac{3}{5}$),
0.625 ($\frac{5}{8}$),
0.875 ($\frac{7}{8}$)
→ $\frac{1}{10}, \frac{1}{8}, \frac{1}{3}, \frac{3}{5}, \frac{5}{8}, \frac{7}{8}$
---
Problem 2:
$\frac{7}{10} = 0.7$,
$\frac{1}{3} \approx 0.333$,
$\frac{1}{5} = 0.2$,
$\frac{9}{10} = 0.9$
Order:
0.2 ($\frac{1}{5}$),
0.333 ($\frac{1}{3}$),
0.7 ($\frac{7}{10}$),
0.9 ($\frac{9}{10}$)
→ $\frac{1}{5}, \frac{1}{3}, \frac{7}{10}, \frac{9}{10}$
---
Problem 3:
$\frac{1}{10} = 0.1$,
$\frac{1}{3} \approx 0.333$,
$\frac{3}{10} = 0.3$,
$\frac{1}{4} = 0.25$
Order:
0.1 ($\frac{1}{10}$),
0.25 ($\frac{1}{4}$),
0.3 ($\frac{3}{10}$),
0.333 ($\frac{1}{3}$)
→ $\frac{1}{10}, \frac{1}{4}, \frac{3}{10}, \frac{1}{3}$
---
Problem 4:
$\frac{1}{2} = 0.5$,
$\frac{3}{4} = 0.75$,
$\frac{1}{3} \approx 0.333$
Order:
0.333 ($\frac{1}{3}$),
0.5 ($\frac{1}{2}$),
0.75 ($\frac{3}{4}$)
→ $\frac{1}{3}, \frac{1}{2}, \frac{3}{4}$
---
Problem 5:
$\frac{1}{10} = 0.1$,
$\frac{7}{8} = 0.875$,
$\frac{1}{5} = 0.2$
Order:
0.1 ($\frac{1}{10}$),
0.2 ($\frac{1}{5}$),
0.875 ($\frac{7}{8}$)
→ $\frac{1}{10}, \frac{1}{5}, \frac{7}{8}$
---
Problem 6:
$\frac{1}{4} = 0.25$,
$\frac{1}{8} = 0.125$,
$\frac{7}{10} = 0.7$,
$\frac{3}{8} = 0.375$,
$\frac{5}{8} = 0.625$
Order:
0.125 ($\frac{1}{8}$),
0.25 ($\frac{1}{4}$),
0.375 ($\frac{3}{8}$),
0.625 ($\frac{5}{8}$),
0.7 ($\frac{7}{10}$)
→ $\frac{1}{8}, \frac{1}{4}, \frac{3}{8}, \frac{5}{8}, \frac{7}{10}$
---
Problem 7:
$\frac{1}{4} = 0.25$,
$\frac{4}{5} = 0.8$,
$\frac{2}{5} = 0.4$,
$\frac{5}{8} = 0.625$,
$\frac{3}{5} = 0.6$,
$\frac{1}{10} = 0.1$
Order:
0.1 ($\frac{1}{10}$),
0.25 ($\frac{1}{4}$),
0.4 ($\frac{2}{5}$),
0.6 ($\frac{3}{5}$),
0.625 ($\frac{5}{8}$),
0.8 ($\frac{4}{5}$)
→ $\frac{1}{10}, \frac{1}{4}, \frac{2}{5}, \frac{3}{5}, \frac{5}{8}, \frac{4}{5}$
---
Problem 8:
$\frac{7}{8} = 0.875$,
$\frac{3}{4} = 0.75$,
$\frac{9}{10} = 0.9$,
$\frac{1}{4} = 0.25$,
$\frac{2}{5} = 0.4$
Order:
0.25 ($\frac{1}{4}$),
0.4 ($\frac{2}{5}$),
0.75 ($\frac{3}{4}$),
0.875 ($\frac{7}{8}$),
0.9 ($\frac{9}{10}$)
→ $\frac{1}{4}, \frac{2}{5}, \frac{3}{4}, \frac{7}{8}, \frac{9}{10}$
---
Problem 9:
$\frac{7}{10} = 0.7$,
$\frac{1}{3} \approx 0.333$,
$\frac{3}{8} = 0.375$,
$\frac{1}{2} = 0.5$,
$\frac{1}{10} = 0.1$,
$\frac{3}{4} = 0.75$
Order:
0.1 ($\frac{1}{10}$),
0.333 ($\frac{1}{3}$),
0.375 ($\frac{3}{8}$),
0.5 ($\frac{1}{2}$),
0.7 ($\frac{7}{10}$),
0.75 ($\frac{3}{4}$)
→ $\frac{1}{10}, \frac{1}{3}, \frac{3}{8}, \frac{1}{2}, \frac{7}{10}, \frac{3}{4}$
---
Problem 10:
$\frac{7}{10} = 0.7$,
$\frac{4}{5} = 0.8$,
$\frac{9}{10} = 0.9$,
$\frac{3}{8} = 0.375$,
$\frac{7}{8} = 0.875$
Order:
0.375 ($\frac{3}{8}$),
0.7 ($\frac{7}{10}$),
0.8 ($\frac{4}{5}$),
0.875 ($\frac{7}{8}$),
0.9 ($\frac{9}{10}$)
→ $\frac{3}{8}, \frac{7}{10}, \frac{4}{5}, \frac{7}{8}, \frac{9}{10}$
Now double-check each list for correctness — all seem consistent.
Final Answer:
1) $\frac{1}{10}, \frac{1}{8}, \frac{1}{3}, \frac{3}{5}, \frac{5}{8}, \frac{7}{8}$
2) $\frac{1}{5}, \frac{1}{3}, \frac{7}{10}, \frac{9}{10}$
3) $\frac{1}{10}, \frac{1}{4}, \frac{3}{10}, \frac{1}{3}$
4) $\frac{1}{3}, \frac{1}{2}, \frac{3}{4}$
5) $\frac{1}{10}, \frac{1}{5}, \frac{7}{8}$
6) $\frac{1}{8}, \frac{1}{4}, \frac{3}{8}, \frac{5}{8}, \frac{7}{10}$
7) $\frac{1}{10}, \frac{1}{4}, \frac{2}{5}, \frac{3}{5}, \frac{5}{8}, \frac{4}{5}$
8) $\frac{1}{4}, \frac{2}{5}, \frac{3}{4}, \frac{7}{8}, \frac{9}{10}$
9) $\frac{1}{10}, \frac{1}{3}, \frac{3}{8}, \frac{1}{2}, \frac{7}{10}, \frac{3}{4}$
10) $\frac{3}{8}, \frac{7}{10}, \frac{4}{5}, \frac{7}{8}, \frac{9}{10}$
Parent Tip: Review the logic above to help your child master the concept of math aids fractions worksheet.
