Math Problem Statement

5/12 + 7/8

Solution

To add 512+78\frac{5}{12} + \frac{7}{8}, we need a common denominator.

  1. The denominators are 1212 and 88. The least common denominator (LCD) is 2424.

  2. Rewrite each fraction with the denominator 2424: 512=1024,78=2124\frac{5}{12} = \frac{10}{24}, \quad \frac{7}{8} = \frac{21}{24}

  3. Add the fractions: 1024+2124=3124\frac{10}{24} + \frac{21}{24} = \frac{31}{24}

  4. Simplify if needed. 3124\frac{31}{24} is an improper fraction, and as a mixed number: 3124=1724\frac{31}{24} = 1 \frac{7}{24}

Final Answer: 3124\frac{31}{24} or 17241 \frac{7}{24}.

Would you like more details or have any questions?

Related Questions:

  1. How do you find the least common denominator of two fractions?
  2. How do you convert improper fractions to mixed numbers?
  3. How do you simplify a fraction?
  4. What are the steps for subtracting fractions with different denominators?
  5. Can you add fractions with variables in the numerator or denominator?

Tip: Always simplify fractions to their lowest terms after performing arithmetic operations.

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Least Common Denominator
Improper Fractions
Mixed Numbers

Formulas

Least Common Denominator (LCD): LCM of denominators
Addition of fractions: (a/b) + (c/d) = (ad + bc) / bd

Theorems

Least Common Multiple (LCM) theorem

Suitable Grade Level

Grades 5-7