Math Problem Statement

5/6 + 3/8

Solution

To solve 56+38\frac{5}{6} + \frac{3}{8}, we need to find a common denominator between the two fractions.

  1. The denominators are 6 and 8. The least common denominator (LCD) of 6 and 8 is 24.
  2. Convert both fractions to have a denominator of 24: 56=5×46×4=2024\frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} 38=3×38×3=924\frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24}
  3. Now add the two fractions: 2024+924=20+924=2924\frac{20}{24} + \frac{9}{24} = \frac{20 + 9}{24} = \frac{29}{24}

The result is 2924\frac{29}{24}, which is an improper fraction. As a mixed number, it is: 15241 \frac{5}{24}

Would you like more details or have any questions?

Here are 5 related questions for practice:

  1. 79+45\frac{7}{9} + \frac{4}{5}
  2. 1112+23\frac{11}{12} + \frac{2}{3}
  3. 38+76\frac{3}{8} + \frac{7}{6}
  4. 57+29\frac{5}{7} + \frac{2}{9}
  5. 45+34\frac{4}{5} + \frac{3}{4}

Tip: When adding or subtracting fractions, always look for the least common denominator (LCD) to simplify the process.

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Math Problem Analysis

Mathematical Concepts

Fractions
Least Common Denominator (LCD)
Improper Fractions
Mixed Numbers

Formulas

Least common denominator (LCD)
Improper fraction to mixed number conversion

Theorems

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Suitable Grade Level

Grades 4-6