Question

1. write each improper fraction as a mixed number in simplest form.
2. $\frac{15}{4}$
3. $\frac{8}{3}$
4. $\frac{5}{2}$
5. $\frac{7}{3}$
6. $\frac{11}{10}$
7. $\frac{7}{6}$
8. $\frac{9}{8}$
9. $\frac{20}{8}$
10. $\frac{27}{12}$
11. $\frac{26}{18}$
12. $\frac{35}{21}$
13. $\frac{17}{4}$
14. $\frac{17}{3}$
15. $\frac{17}{6}$
16. $\frac{36}{15}$
17. $\frac{28}{21}$

Explanation:

Step1: Divide numerator by denominator

For each improper fraction, calculate quotient and remainder.

Step2: Form mixed number

Mixed number = quotient + $\frac{\text{remainder}}{\text{denominator}}$, simplify fraction if possible.

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For $\frac{15}{2}$:

Step1: Divide 15 by 2

$15 \div 2 = 7$ remainder $1$

Step2: Write mixed number

$7 + \frac{1}{2}$
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For $\frac{8}{3}$:

Step1: Divide 8 by 3

$8 \div 3 = 2$ remainder $2$

Step2: Write mixed number

$2 + \frac{2}{3}$
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For $\frac{5}{2}$:

Step1: Divide 5 by 2

$5 \div 2 = 2$ remainder $1$

Step2: Write mixed number

$2 + \frac{1}{2}$
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For $\frac{7}{3}$:

Step1: Divide 7 by 3

$7 \div 3 = 2$ remainder $1$

Step2: Write mixed number

$2 + \frac{1}{3}$
---

For $\frac{11}{10}$:

Step1: Divide 11 by 10

$11 \div 10 = 1$ remainder $1$

Step2: Write mixed number

$1 + \frac{1}{10}$
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For $\frac{7}{6}$:

Step1: Divide 7 by 6

$7 \div 6 = 1$ remainder $1$

Step2: Write mixed number

$1 + \frac{1}{6}$
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For $\frac{9}{8}$:

Step1: Divide 9 by 8

$9 \div 8 = 1$ remainder $1$

Step2: Write mixed number

$1 + \frac{1}{8}$
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For $\frac{20}{8}$:

Step1: Simplify & divide

$\frac{20}{8} = \frac{5}{2}$, $5 \div 2 = 2$ remainder $1$

Step2: Write mixed number

$2 + \frac{1}{2}$
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For $\frac{17}{12}$:

Step1: Divide 17 by 12

$17 \div 12 = 1$ remainder $5$

Step2: Write mixed number

$1 + \frac{5}{12}$
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For $\frac{26}{18}$:

Step1: Simplify & divide

$\frac{26}{18} = \frac{13}{9}$, $13 \div 9 = 1$ remainder $4$

Step2: Write mixed number

$1 + \frac{4}{9}$
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For $\frac{35}{21}$:

Step1: Simplify & divide

$\frac{35}{21} = \frac{5}{3}$, $5 \div 3 = 1$ remainder $2$

Step2: Write mixed number

$1 + \frac{2}{3}$
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For $\frac{17}{4}$:

Step1: Divide 17 by 4

$17 \div 4 = 4$ remainder $1$

Step2: Write mixed number

$4 + \frac{1}{4}$
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For $\frac{17}{3}$:

Step1: Divide 17 by 3

$17 \div 3 = 5$ remainder $2$

Step2: Write mixed number

$5 + \frac{2}{3}$
---

For $\frac{17}{6}$:

Step1: Divide 17 by 6

$17 \div 6 = 2$ remainder $5$

Step2: Write mixed number

$2 + \frac{5}{6}$
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For $\frac{36}{15}$:

Step1: Simplify & divide

$\frac{36}{15} = \frac{12}{5}$, $12 \div 5 = 2$ remainder $2$

Step2: Write mixed number

$2 + \frac{2}{5}$
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For $\frac{28}{21}$:

Step1: Simplify & divide

$\frac{28}{21} = \frac{4}{3}$, $4 \div 3 = 1$ remainder $1$

Step2: Write mixed number

$1 + \frac{1}{3}$

Answer:

1. $7\frac{1}{2}$
2. $2\frac{2}{3}$
3. $2\frac{1}{2}$
4. $2\frac{1}{3}$
5. $1\frac{1}{10}$
6. $1\frac{1}{6}$
7. $1\frac{1}{8}$
8. $2\frac{1}{2}$
9. $1\frac{5}{12}$
10. $1\frac{4}{9}$
11. $1\frac{2}{3}$
12. $4\frac{1}{4}$
13. $5\frac{2}{3}$
14. $2\frac{5}{6}$
15. $2\frac{2}{5}$
16. $1\frac{1}{3}$