Math Problem Statement

what is the sum of 1/2 + 1/3

Solution

To find the sum of 12+13\frac{1}{2} + \frac{1}{3}, we need to get a common denominator.

The least common denominator (LCD) between 2 and 3 is 6.

Now, let's rewrite each fraction with the denominator of 6:

12=36,13=26\frac{1}{2} = \frac{3}{6}, \quad \frac{1}{3} = \frac{2}{6}

Now, we add the two fractions:

36+26=3+26=56\frac{3}{6} + \frac{2}{6} = \frac{3 + 2}{6} = \frac{5}{6}

So, the sum of 12+13\frac{1}{2} + \frac{1}{3} is 56\frac{5}{6}.

Would you like more details on how we add fractions or have any other questions?


Here are 5 related questions:

  1. How do you subtract fractions with different denominators?
  2. How do you multiply fractions?
  3. Can you add fractions with the same denominator?
  4. What is the least common denominator?
  5. How do you convert a mixed number to an improper fraction?

Tip: Always find the least common denominator (LCD) when adding or subtracting fractions with different denominators!

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions

Formulas

Addition of fractions: a/b + c/d = (ad + bc) / bd

Theorems

Least Common Denominator (LCD)

Suitable Grade Level

Grades 4-6