Question

in 1-12, find each difference.

1. $6\frac{1}{4}-3\frac{5}{8}$
2. $4-1\frac{1}{2}$
3. $5\frac{1}{3}-3\frac{1}{6}$
4. $7\frac{2}{5}-4\frac{7}{10}$
5. $12\frac{3}{4}-11\frac{7}{8}$
6. $9\frac{3}{10}-2\frac{2}{5}$

Explanation:

Step1: Convert to improper fractions

$6\frac{1}{4} = \frac{25}{4}$, $3\frac{5}{8} = \frac{29}{8}$

Step2: Find common denominator

$\frac{25}{4} = \frac{50}{8}$

Step3: Subtract fractions

$\frac{50}{8} - \frac{29}{8} = \frac{21}{8}$

Step4: Convert to mixed number

$\frac{21}{8} = 2\frac{5}{8}$

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Step1: Convert to improper fraction

$4 = \frac{8}{2}$, $1\frac{1}{2} = \frac{3}{2}$

Step2: Subtract fractions

$\frac{8}{2} - \frac{3}{2} = \frac{5}{2}$

Step3: Convert to mixed number

$\frac{5}{2} = 2\frac{1}{2}$

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Step1: Convert to improper fractions

$5\frac{1}{3} = \frac{16}{3}$, $3\frac{1}{6} = \frac{19}{6}$

Step2: Find common denominator

$\frac{16}{3} = \frac{32}{6}$

Step3: Subtract fractions

$\frac{32}{6} - \frac{19}{6} = \frac{13}{6}$

Step4: Convert to mixed number

$\frac{13}{6} = 2\frac{1}{6}$

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Step1: Convert to improper fractions

$7\frac{2}{5} = \frac{37}{5}$, $4\frac{7}{10} = \frac{47}{10}$

Step2: Find common denominator

$\frac{37}{5} = \frac{74}{10}$

Step3: Subtract fractions

$\frac{74}{10} - \frac{47}{10} = \frac{27}{10}$

Step4: Convert to mixed number

$\frac{27}{10} = 2\frac{7}{10}$

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Step1: Convert to improper fractions

$12\frac{3}{4} = \frac{51}{4}$, $11\frac{7}{8} = \frac{95}{8}$

Step2: Find common denominator

$\frac{51}{4} = \frac{102}{8}$

Step3: Subtract fractions

$\frac{102}{8} - \frac{95}{8} = \frac{7}{8}$

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Step1: Convert to improper fractions

$9\frac{3}{10} = \frac{93}{10}$, $2\frac{2}{5} = \frac{12}{5}$

Step2: Find common denominator

$\frac{12}{5} = \frac{24}{10}$

Step3: Subtract fractions

$\frac{93}{10} - \frac{24}{10} = \frac{69}{10}$

Step4: Convert to mixed number

$\frac{69}{10} = 6\frac{9}{10}$

Answer:

1. $2\frac{5}{8}$
2. $2\frac{1}{2}$
3. $2\frac{1}{6}$
4. $2\frac{7}{10}$
5. $\frac{7}{8}$
6. $6\frac{9}{10}$