Math Problem Statement

Calculate and express the answers as fractions in the lowest terms for each of the given fraction addition and subtraction problems.

Solution

I'll solve each of the exercises presented in the image, expressing the answers as fractions in their lowest terms.

Solutions

  1. 112+32+26=112+1812+412=2312\frac{1}{12} + \frac{3}{2} + \frac{2}{6} = \frac{1}{12} + \frac{18}{12} + \frac{4}{12} = \frac{23}{12} or 111121 \frac{11}{12}
  2. 581632=15244243624=2524\frac{5}{8} - \frac{1}{6} - \frac{3}{2} = \frac{15}{24} - \frac{4}{24} - \frac{36}{24} = -\frac{25}{24} or 1124-1 \frac{1}{24}
  3. 225+110+56=125+110+56=60130=201302 \frac{2}{5} + \frac{1}{10} + \frac{5}{6} = \frac{12}{5} + \frac{1}{10} + \frac{5}{6} = \frac{601}{30} = 20 \frac{1}{30}
  4. ( \frac{7}{8} + 8 + \frac{9}{10} + \frac{3}{4} = \frac{7}{8} + \frac{80}{8} + \frac{72}{80} + \frac{3

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Math Problem Analysis

Mathematical Concepts

Fraction addition
Fraction subtraction
Mixed numbers
Lowest terms

Formulas

Common denominators for fraction addition and subtraction
Conversion of mixed numbers to improper fractions

Theorems

Concept of equivalent fractions for simplification

Suitable Grade Level

Grades 5-6