Math Problem Statement

Solve the mathematical expression: 3/4 + 6/4

Solution

The image you provided contains the following mathematical expression:

34+64\frac{3}{4} + \frac{6}{4}

Let me solve this step by step:


Step 1: Write down the fractions

The fractions are: 34and64.\frac{3}{4} \quad \text{and} \quad \frac{6}{4}.


Step 2: Add the fractions

Since the denominators are the same (44), you can directly add the numerators: 34+64=3+64.\frac{3}{4} + \frac{6}{4} = \frac{3+6}{4}.


Step 3: Simplify the numerator

Adding the numerators gives: 3+64=94.\frac{3+6}{4} = \frac{9}{4}.


Step 4: Convert to a mixed number (if needed)

The improper fraction 94\frac{9}{4} can be written as a mixed number: 94=214.\frac{9}{4} = 2 \frac{1}{4}.


Final Answer:

The sum is: 94 or 214\boxed{\frac{9}{4} \text{ or } 2 \frac{1}{4}}

Let me know if you’d like further details or clarifications!


Related Questions:

  1. What is the process for adding fractions with unlike denominators?
  2. How do you convert an improper fraction into a mixed number?
  3. Can 94\frac{9}{4} be simplified further (e.g., into decimal form)?
  4. How would you subtract 64\frac{6}{4} from 34\frac{3}{4}?
  5. How would this addition look in a real-world context (e.g., measurements)?

Tip:

When adding fractions, always check if you can simplify the final result!

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Mixed Numbers

Formulas

a/b + c/b = (a+c)/b

Theorems

Fraction Addition Theorem (same denominator)

Suitable Grade Level

Grades 4-6