Math Problem Statement

1/4 + 2/3=

Solution

To solve 14+23\frac{1}{4} + \frac{2}{3}, follow these steps:

  1. Find the least common denominator (LCD) of 4 and 3, which is 12.
  2. Convert each fraction to have the LCD as the denominator:
    • 14=312\frac{1}{4} = \frac{3}{12} (multiply both the numerator and denominator by 3)
    • 23=812\frac{2}{3} = \frac{8}{12} (multiply both the numerator and denominator by 4)
  3. Now add the two fractions: 312+812=1112\frac{3}{12} + \frac{8}{12} = \frac{11}{12}

So, 14+23=1112\frac{1}{4} + \frac{2}{3} = \frac{11}{12}.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

  1. How do you subtract fractions with different denominators?
  2. What is the process to multiply two fractions?
  3. How do you convert an improper fraction to a mixed number?
  4. What is the method for dividing fractions?
  5. How do you simplify fractions?

Tip: Always look for the least common denominator when adding or subtracting fractions!

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of fractions
Least Common Denominator (LCD)

Formulas

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (for adding fractions with different denominators)

Theorems

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Suitable Grade Level

Grades 4-6