How would you solve the problem b/8+1/5=17

To solve the equation \( \frac{b}{8} + \frac{1}{5} = 17 \), follow these steps:

1. **Isolate the term with the variable**: 
   Subtract \( \frac{1}{5} \) from both sides of the equation to move the constant term to the right side:
   \[
   \frac{b}{8} = 17 - \frac{1}{5}
   \]
   
2. **Simplify the right side**: 
   To subtract \( 17 - \frac{1}{5} \), rewrite 17 as \( \frac{85}{5} \) (so that both terms have the same denominator):
   \[
   \frac{b}{8} = \frac{85}{5} - \frac{1}{5} = \frac{84}{5}
   \]

3. **Solve for \( b \)**: 
   Multiply both sides by 8 to solve for \( b \):
   \[
   b = 8 \times \frac{84}{5} = \frac{672}{5}
   \]
   Therefore, \( b = \frac{672}{5} \), which can also be written as a mixed number:
   \[
   b = 134 \frac{2}{5}
   \]

The solution is \( b = \frac{672}{5} \) or \( b = 134 \frac{2}{5} \).

Would you like a more detailed breakdown, or do you have any questions?

Here are 5 related questions you could explore:
1. How do you solve equations involving fractions and variables?
2. What are the steps to convert improper fractions to mixed numbers?
3. How do you solve equations with variables on both sides?
4. How do you handle equations with multiple fractions?
5. How do you check if a solution is correct in an equation?

**Tip**: Always simplify fractions before moving to the next step in an equation to make calculations easier!

Learn how to solve the equation b/8 + 1/5 = 17 by isolating the variable and simplifying fractions. This detailed step-by-step guide covers fundamental algebraic concepts, including variable isolation and fraction operations. Suitable for students in Grades 6-8.

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