Question

7/29
solve the mixed numbers.
$6\frac{7}{9} + 3\frac{1}{2}$
type answer here

Explanation:

Step1: Convert to improper fractions

$6\frac{7}{9} = \frac{6\times9 + 7}{9} = \frac{61}{9}$, $3\frac{1}{2} = \frac{3\times2 + 1}{2} = \frac{7}{2}$

Step2: Find common denominator

Least common denominator of 9 and 2 is 18.
$\frac{61}{9} = \frac{61\times2}{9\times2} = \frac{122}{18}$, $\frac{7}{2} = \frac{7\times9}{2\times9} = \frac{63}{18}$

Step3: Add the fractions

$\frac{122}{18} + \frac{63}{18} = \frac{122+63}{18} = \frac{185}{18}$

Step4: Convert to mixed number

$\frac{185}{18} = 10\frac{5}{18}$

Answer:

$10\frac{5}{18}$ or $\frac{185}{18}$