https://file.aiquickdraw.com/mathbot/file/1726692224460h2eu6zb6.jpg

Let's solve the fraction addition problem: 

\[
\frac{2}{5} + \frac{3}{4}
\]

### Step 1: Find the common denominator

We need to find the least common denominator (LCD) between 5 and 4. The least common multiple (LCM) of 5 and 4 is 20.

### Step 2: Convert the fractions

Now, we rewrite the fractions with the denominator of 20.

- For \(\frac{2}{5}\), we multiply both the numerator and the denominator by 4:
  \[
  \frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20}
  \]

- For \(\frac{3}{4}\), we multiply both the numerator and the denominator by 5:
  \[
  \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}
  \]

### Step 3: Add the fractions

Now that both fractions have the same denominator, we can add them:
\[
\frac{8}{20} + \frac{15}{20} = \frac{8 + 15}{20} = \frac{23}{20}
\]

### Step 4: Simplify the result

Since \(\frac{23}{20}\) is an improper fraction, we can convert it to a mixed number:
\[
\frac{23}{20} = 1 \frac{3}{20}
\]

Thus, the result is:

\[
\frac{2}{5} + \frac{3}{4} = 1 \frac{3}{20}
\]

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. What is \(\frac{3}{7} + \frac{2}{5}\)?
2. How do you subtract \(\frac{4}{9} - \frac{1}{3}\)?
3. What is the sum of \(\frac{5}{6} + \frac{2}{9}\)?
4. Can you simplify \(\frac{11}{15} + \frac{3}{10}\)?
5. How would you solve \(\frac{7}{8} - \frac{1}{4}\)?

**Tip:** Always find the least common denominator to make adding and subtracting fractions easier!

Add 2/5 and 3/4, following the steps to find a common denominator.

Learn how to add fractions like 2/5 and 3/4 by finding a common denominator. This tutorial covers key concepts of fractions, including the least common denominator and equivalent fractions. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation