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This worksheet challenges students to order sets of mixed fractions and decimals from smallest to largest.

Math worksheet for ordering fractions and decimals from smallest to largest.

Math worksheet for ordering fractions and decimals from smallest to largest.

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Show Answer Key & Explanations Step-by-step solution for: Ordering fractions and decimals - Fraction and Decimal Worksheets ...
To order these numbers from smallest to largest, the easiest way is to turn all the fractions into decimals. This makes it much easier to compare them.

Here is the step-by-step solution for each row:

1. Row 1:
* $0.2$ stays 0.2
* $\frac{3}{10}$ becomes 0.3
* $\frac{1}{10}$ becomes 0.1
* $0.25$ stays 0.25
* $\frac{11}{100}$ becomes 0.11

Now, let's order the decimals: $0.1, 0.11, 0.2, 0.25, 0.3$.
Matching them back to the original numbers:
$\frac{1}{10}, \frac{11}{100}, 0.2, 0.25, \frac{3}{10}$

2. Row 2:
* $0.3$ stays 0.3
* $\frac{3}{5}$ becomes 0.6 (because $3 \div 5 = 0.6$)
* $\frac{4}{5}$ becomes 0.8 (because $4 \div 5 = 0.8$)
* $0.7$ stays 0.7
* $\frac{85}{100}$ becomes 0.85

Now, let's order the decimals: $0.3, 0.6, 0.7, 0.8, 0.85$.
Matching them back to the original numbers:
$0.3, \frac{3}{5}, 0.7, \frac{4}{5}, \frac{85}{100}$

3. Row 3:
* $\frac{3}{4}$ becomes 0.75
* $\frac{3}{8}$ becomes 0.375
* $0.77$ stays 0.77
* $0.61$ stays 0.61
* $\frac{8}{12}$ simplifies to $\frac{2}{3}$, which is approximately 0.666...

Now, let's order the decimals: $0.375, 0.61, 0.666..., 0.75, 0.77$.
Matching them back to the original numbers:
$\frac{3}{8}, 0.61, \frac{8}{12}, \frac{3}{4}, 0.77$

4. Row 4:
* $\frac{7}{5}$ becomes 1.4
* $\frac{11}{8}$ becomes 1.375
* $1.12$ stays 1.12
* $1.02$ stays 1.02
* $\frac{13}{10}$ becomes 1.3

Now, let's order the decimals: $1.02, 1.12, 1.3, 1.375, 1.4$.
Matching them back to the original numbers:
$1.02, 1.12, \frac{13}{10}, \frac{11}{8}, \frac{7}{5}$

Final Answer:
1. $\frac{1}{10}, \frac{11}{100}, 0.2, 0.25, \frac{3}{10}$
2. $0.3, \frac{3}{5}, 0.7, \frac{4}{5}, \frac{85}{100}$
3. $\frac{3}{8}, 0.61, \frac{8}{12}, \frac{3}{4}, 0.77$
4. $1.02, 1.12, \frac{13}{10}, \frac{11}{8}, \frac{7}{5}$
Parent Tip: Review the logic above to help your child master the concept of compare and order fractions and decimals worksheet.
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