Math Problem Statement

2/3 + 1/12

Solution

The image shows a mathematical problem involving the addition of two fractions:

23+112\frac{2}{3} + \frac{1}{12}

To solve this, we first need to find a common denominator. The least common denominator (LCD) of 3 and 12 is 12.

  1. Rewrite 23\frac{2}{3} with the denominator 12: 23=812(since2×4=8)\frac{2}{3} = \frac{8}{12} \quad \text{(since} \, 2 \times 4 = 8\text{)}

  2. Now, add the two fractions: 812+112=912\frac{8}{12} + \frac{1}{12} = \frac{9}{12}

  3. Simplify 912\frac{9}{12}: 912=34(dividing both numerator and denominator by 3)\frac{9}{12} = \frac{3}{4} \quad \text{(dividing both numerator and denominator by 3)}

Thus, the solution is 34\frac{3}{4}.

Would you like more details or have any questions?

Here are five related questions:

  1. How do you find the least common denominator of two fractions?
  2. How do you simplify fractions?
  3. How would you convert improper fractions to mixed numbers?
  4. What are the steps to subtract fractions with different denominators?
  5. How can you add fractions with whole numbers?

Tip: Always simplify fractions to their lowest terms after adding or subtracting them.

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Simplification

Formulas

To add fractions: a/b + c/d = (ad + bc) / bd
Simplification: gcd(numerator, denominator)

Theorems

Least Common Denominator

Suitable Grade Level

Grade 4-6