Math Problem Statement

Solve the expression: 3/4 + 3/5

Solution

The image shows the expression:

34+35\frac{3}{4} + \frac{3}{5}

Let's solve this:

Step 1: Find the common denominator

The denominators are 4 and 5. The least common denominator (LCD) of 4 and 5 is 20.

Step 2: Convert each fraction

  • 34\frac{3}{4} becomes 3×54×5=1520\frac{3 \times 5}{4 \times 5} = \frac{15}{20}
  • 35\frac{3}{5} becomes 3×45×4=1220\frac{3 \times 4}{5 \times 4} = \frac{12}{20}

Step 3: Add the fractions

1520+1220=2720\frac{15}{20} + \frac{12}{20} = \frac{27}{20}

Step 4: Simplify the result (if necessary)

The result 2720\frac{27}{20} is already in its simplest form. As an improper fraction, it can also be written as:

17201 \frac{7}{20}

So, 34+35=2720=1720\frac{3}{4} + \frac{3}{5} = \frac{27}{20} = 1 \frac{7}{20}.

Would you like more details or have any questions?

Here are some related questions:

  1. How do you find the least common denominator (LCD) of two fractions?
  2. What is the process of converting an improper fraction to a mixed number?
  3. How do you subtract fractions with different denominators?
  4. What is the process of multiplying fractions?
  5. How can you convert a fraction to a decimal?

Tip: When adding fractions, always find the least common denominator to make the addition easier and avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Least Common Denominator

Formulas

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

Theorems

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Suitable Grade Level

Grades 5-6