To solve the equation \( \frac{2}{5} = y - \frac{1}{9} \), follow these steps:

### Step 1: Eliminate the fraction involving \( y \)
We want to isolate \( y \). First, add \( \frac{1}{9} \) to both sides:

\[
\frac{2}{5} + \frac{1}{9} = y
\]

### Step 2: Add the fractions
To add these fractions, we need a common denominator. The least common denominator (LCD) of 5 and 9 is 45. Rewrite both fractions with 45 as the denominator:

\[
\frac{2}{5} = \frac{18}{45}, \quad \frac{1}{9} = \frac{5}{45}
\]

Now add them:

\[
\frac{18}{45} + \frac{5}{45} = \frac{23}{45}
\]

### Step 3: Final answer
Now that we've added the fractions, we find that:

\[
y = \frac{23}{45}
\]

So, the solution is \( y = \frac{23}{45} \).

Would you like further details or have any questions?

### Related Questions:
1. How do you subtract fractions with different denominators?
2. Can you simplify a fraction like \( \frac{23}{45} \)?
3. What are the common mistakes made while adding fractions?
4. How do you find the least common denominator for any set of fractions?
5. How can you verify the solution by substituting \( y \) back into the original equation?

### Tip:
When adding or subtracting fractions, always ensure that the denominators are the same before performing the operation.

Learn how to solve the equation 2/5 = y - 1/9 by isolating the variable y and adding fractions with different denominators. This guide walks through finding the least common denominator and provides step-by-step instructions for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation