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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Least Common Denominator

Formulas

Least Common Denominator (LCD)
Addition of fractions: (a/b) + (c/d) = (ad + bc) / bd

Theorems

None

Suitable Grade Level

Grades 5-7