Question

add.

1. $3\frac{1}{2} + 1\frac{1}{3} =$
2. $4\frac{5}{7} + 3\frac{3}{4} =$

Explanation:

Step1: Convert to improper fractions

$3\frac{1}{2} = \frac{7}{2}$, $1\frac{1}{3} = \frac{4}{3}$

Step2: Find common denominator (6)

$\frac{7}{2} = \frac{21}{6}$, $\frac{4}{3} = \frac{8}{6}$

Step3: Add the fractions

$\frac{21}{6} + \frac{8}{6} = \frac{29}{6}$

Step4: Convert to mixed number

$\frac{29}{6} = 4\frac{5}{6}$

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Step1: Convert to improper fractions

$4\frac{5}{7} = \frac{33}{7}$, $3\frac{3}{4} = \frac{15}{4}$

Step2: Find common denominator (28)

$\frac{33}{7} = \frac{132}{28}$, $\frac{15}{4} = \frac{105}{28}$

Step3: Add the fractions

$\frac{132}{28} + \frac{105}{28} = \frac{237}{28}$

Step4: Convert to mixed number

$\frac{237}{28} = 8\frac{13}{28}$

Answer:

1. $4\frac{5}{6}$
2. $8\frac{13}{28}$