Math Problem Statement

3/8 + 2/5

Solution

To solve the expression 38+25\frac{3}{8} + \frac{2}{5}, we need to add the two fractions. Here's the process:

  1. Find a common denominator: The denominators are 8 and 5. The least common denominator (LCD) is 40.

  2. Convert each fraction: 38=3×58×5=1540\frac{3}{8} = \frac{3 \times 5}{8 \times 5} = \frac{15}{40} 25=2×85×8=1640\frac{2}{5} = \frac{2 \times 8}{5 \times 8} = \frac{16}{40}

  3. Add the numerators: 1540+1640=15+1640=3140\frac{15}{40} + \frac{16}{40} = \frac{15 + 16}{40} = \frac{31}{40}

Thus, 38+25=3140\frac{3}{8} + \frac{2}{5} = \frac{31}{40}.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How do you subtract fractions with different denominators?
  2. What is the least common denominator, and how do you find it?
  3. Can you convert 3140\frac{31}{40} to a decimal?
  4. How do you multiply or divide fractions?
  5. What is the process for simplifying fractions?

Tip: Always simplify your answer if possible, but in this case, 3140\frac{31}{40} is already in its simplest form.

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Least Common Denominator

Formulas

LCD = least common multiple of denominators
a/b + c/d = (a*d + b*c) / (b*d)

Theorems

Basic Fraction Addition Theorem

Suitable Grade Level

Grades 5-6