We are given the equation:

\[
\frac{3}{7} = \frac{h}{14} - \frac{2}{7}
\]

### Step 1: Isolate the fraction involving \( h \)
To start, we can add \( \frac{2}{7} \) to both sides of the equation to eliminate it from the right-hand side:

\[
\frac{3}{7} + \frac{2}{7} = \frac{h}{14}
\]

### Step 2: Combine the fractions on the left-hand side
Since the denominators are the same (both are 7), we can add the numerators:

\[
\frac{3 + 2}{7} = \frac{h}{14}
\]
\[
\frac{5}{7} = \frac{h}{14}
\]

### Step 3: Solve for \( h \)
Now, to solve for \( h \), cross-multiply:

\[
5 \times 14 = 7 \times h
\]
\[
70 = 7h
\]

Now, divide both sides by 7 to isolate \( h \):

\[
h = \frac{70}{7} = 10
\]

Thus, the solution is \( h = 10 \).

Would you like further details or have any questions?

Here are five related questions you might find interesting:
1. What if the equation had a different denominator for \( h \)?
2. How would you handle the equation if it involved decimals instead of fractions?
3. Can you solve for \( h \) if the original equation had variables on both sides?
4. How can this method be applied to equations with more complex fractions?
5. What happens if we have three fractions on one side?

**Tip:** Always try to isolate the variable by performing the inverse operation to simplify the equation.

Learn how to solve the equation 3/7 = h/14 - 2/7 through a detailed step-by-step process. This algebra problem demonstrates how to work with fractions and cross-multiply to solve for a variable. Ideal 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