Math Problem Statement

5/12+1/4

Solution

To solve 512+14\frac{5}{12} + \frac{1}{4}, follow these steps:

  1. Find a common denominator. The least common denominator (LCD) of 12 and 4 is 12.
  2. Rewrite 14\frac{1}{4} with a denominator of 12: 14=312\frac{1}{4} = \frac{3}{12}
  3. Now, add the fractions: 512+312=812\frac{5}{12} + \frac{3}{12} = \frac{8}{12}
  4. Simplify 812\frac{8}{12} by dividing both the numerator and denominator by 4: 812=23\frac{8}{12} = \frac{2}{3}

Thus, 512+14=23\frac{5}{12} + \frac{1}{4} = \frac{2}{3}.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you subtract fractions with different denominators?
  2. What is the least common denominator for 78\frac{7}{8} and 35\frac{3}{5}?
  3. How do you multiply two fractions?
  4. How do you convert an improper fraction into a mixed number?
  5. How do you solve 37+25\frac{3}{7} + \frac{2}{5}?

Tip: When adding fractions, always simplify the result by finding the greatest common divisor (GCD) of the numerator and denominator.

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Simplification

Formulas

Finding a common denominator
Simplifying fractions

Theorems

Least Common Denominator (LCD)
Greatest Common Divisor (GCD)

Suitable Grade Level

Grades 5-7