Math Problem Statement

Evaluate the mathematical expression \(\frac{1}{2} + \frac{3}{4}\).

Solution

The image shows a mathematical expression that needs to be evaluated. The expression is:

12+34\frac{1}{2} + \frac{3}{4}

To solve this:

  1. Find a common denominator for the fractions. The denominators are 2 and 4, and the least common denominator is 4.

  2. Convert 12\frac{1}{2} to a fraction with a denominator of 4: 12=24\frac{1}{2} = \frac{2}{4}

  3. Now add the fractions: 24+34=54\frac{2}{4} + \frac{3}{4} = \frac{5}{4}

The result is 54\frac{5}{4}, which can also be written as 1.25 in decimal form.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

  1. How can you convert improper fractions like 54\frac{5}{4} into mixed numbers?
  2. What is the process to find the least common denominator of two fractions?
  3. How would you subtract fractions with different denominators?
  4. Can you explain how to multiply and divide fractions?
  5. What are some practical applications of adding fractions?

Tip: When adding fractions, always simplify the result if possible to get the most reduced form of the fraction.

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Simplification

Formulas

Addition of fractions: \(\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}\)

Theorems

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Suitable Grade Level

Grades 4-6