Math Problem Statement

5/8 + 3/4

Solution

To add 58+34\frac{5}{8} + \frac{3}{4}, follow these steps:

Step 1: Find a common denominator

The denominators are 8 and 4. The least common denominator (LCD) is 8.

Step 2: Rewrite the fractions with the common denominator

  • 58\frac{5}{8} remains the same.
  • Rewrite 34\frac{3}{4} as 68\frac{6}{8}, because 34=68\frac{3}{4} = \frac{6}{8} (multiply numerator and denominator by 2).

So the problem becomes: 58+68\frac{5}{8} + \frac{6}{8}

Step 3: Add the numerators

5+68=118\frac{5 + 6}{8} = \frac{11}{8}

Step 4: Simplify if needed

118\frac{11}{8} is an improper fraction, which can be written as a mixed number: 118=138\frac{11}{8} = 1 \frac{3}{8}

Final Answer:

118 or 138\frac{11}{8} \text{ or } 1 \frac{3}{8}

Would you like additional clarification or steps?


Here are 5 related questions for practice:

  1. 712+56\frac{7}{12} + \frac{5}{6}
  2. 23+49\frac{2}{3} + \frac{4}{9}
  3. 38+716\frac{3}{8} + \frac{7}{16}
  4. 214+1382 \frac{1}{4} + 1 \frac{3}{8}
  5. 910+715\frac{9}{10} + \frac{7}{15}

Tip: Always convert fractions to the same denominator before adding or subtracting them!

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Common Denominator

Formulas

a/b + c/d = (a*d + b*c) / (b*d)

Theorems

Basic Fraction Addition Theorem: To add fractions, they must have a common denominator

Suitable Grade Level

Grades 5-7