Add. Reduce your answers to lowest terms if necessary.

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ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the addition problems:

Problem (18): $10\frac{8}{10} + 7\frac{7}{10}$

Add the whole number parts.
$10 + 7 = 17$
Add the fractional parts.
$\frac{8}{10} + \frac{7}{10} = \frac{15}{10}$
Convert the improper fraction to a mixed number and add it to the sum of the whole numbers.
$\frac{15}{10} = 1\frac{5}{10}$ $17 + 1\frac{5}{10} = 18\frac{5}{10}$
Reduce the fractional part to lowest terms.
$18\frac{5}{10} = 18\frac{5 \div 5}{10 \div 5} = 18\frac{1}{2}$
(18) $\boxed{18\frac{1}{2}}$

Problem (19): $3\frac{6}{7} + 5\frac{1}{7}$
Add the whole number parts.
$3 + 5 = 8$
Add the fractional parts.
$\frac{6}{7} + \frac{1}{7} = \frac{7}{7}$
Convert the improper fraction to a whole number and add it to the sum of the whole numbers.
$\frac{7}{7} = 1$ $8 + 1 = 9$
(19) $\boxed{9}$

Problem (20): $15\frac{5}{12} + 15\frac{3}{12}$
Add the whole number parts.
$15 + 15 = 30$
Add the fractional parts.
$\frac{5}{12} + \frac{3}{12} = \frac{8}{12}$
Reduce the fractional part to lowest terms.
$\frac{8}{12} = \frac{8 \div 4}{12 \div 4} = \frac{2}{3}$
Combine the whole number sum and the reduced fraction.
$30 + \frac{2}{3} = 30\frac{2}{3}$
(20) $\boxed{30\frac{2}{3}}$

Problem (21): $36\frac{6}{9} + 48\frac{7}{9}$
Add the whole number parts.
$36 + 48 = 84$
Add the fractional parts.
$\frac{6}{9} + \frac{7}{9} = \frac{13}{9}$
Convert the improper fraction to a mixed number and add it to the sum of the whole numbers.
$\frac{13}{9} = 1\frac{4}{9}$ $84 + 1\frac{4}{9} = 85\frac{4}{9}$
The fractional part is already in lowest terms.
(21) $\boxed{85\frac{4}{9}}$

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