Math Problem Statement

What is the sum of the fractions 3/4 and 1/2?

Solution

The image shows a math problem that asks you to add two fractions: 34+12\frac{3}{4} + \frac{1}{2}.

Solution:

To add these fractions, follow these steps:

  1. Find a common denominator: The denominators are 4 and 2. The least common denominator (LCD) is 4.

  2. Rewrite the fractions:

    • 34\frac{3}{4} stays the same because the denominator is already 4.
    • Convert 12\frac{1}{2} to an equivalent fraction with a denominator of 4: 12=24\frac{1}{2} = \frac{2}{4}
  3. Add the fractions:

    • Now add the fractions with the common denominator: 34+24=54\frac{3}{4} + \frac{2}{4} = \frac{5}{4}
  4. Simplify if necessary:

    • 54\frac{5}{4} is an improper fraction, which can also be written as 1141 \frac{1}{4}.

So, the final answer is 54\frac{5}{4} or 1141 \frac{1}{4}.

Would you like more details or have any questions?

Related Questions:

  1. How do you subtract fractions with different denominators?
  2. What is the process to multiply fractions?
  3. How do you convert improper fractions to mixed numbers?
  4. What is the inverse operation of adding fractions?
  5. How do you add fractions with variables in the numerator?

Tip: Always check if you can simplify your answer further 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
Least Common Denominator

Formulas

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \)
Least Common Denominator

Theorems

Arithmetic of Fractions

Suitable Grade Level

Grades 4-6