Question

subtract.

1. \\( 5\frac{1}{2} - 1\frac{1}{3} = \\)

1. \\( 8\frac{3}{4} - 5\frac{5}{6} = \\)

Explanation:

Step1: Convert to improper fractions

$5\frac{1}{2} = \frac{11}{2}$, $1\frac{1}{3} = \frac{4}{3}$

Step2: Find common denominator (6)

$\frac{11}{2} = \frac{33}{6}$, $\frac{4}{3} = \frac{8}{6}$

Step3: Subtract the fractions

$\frac{33}{6} - \frac{8}{6} = \frac{25}{6}$

Step4: Convert to mixed number

$\frac{25}{6} = 4\frac{1}{6}$

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Step1: Convert to improper fractions

$8\frac{3}{4} = \frac{35}{4}$, $5\frac{5}{6} = \frac{35}{6}$

Step2: Find common denominator (12)

$\frac{35}{4} = \frac{105}{12}$, $\frac{35}{6} = \frac{70}{12}$

Step3: Subtract the fractions

$\frac{105}{12} - \frac{70}{12} = \frac{35}{12}$

Step4: Convert to mixed number

$\frac{35}{12} = 2\frac{11}{12}$

Answer:

1. $4\frac{1}{6}$
2. $2\frac{11}{12}$