To solve the expression \( \frac{5}{8} - \frac{9}{32} \), we need to find a common denominator. 

### Step 1: Find the Least Common Denominator (LCD)

The denominators are 8 and 32. The least common multiple of 8 and 32 is 32, so 32 will be our common denominator.

### Step 2: Convert \(\frac{5}{8}\) to an Equivalent Fraction with a Denominator of 32

Multiply both the numerator and the denominator of \(\frac{5}{8}\) by 4 to get the same denominator:

\[
\frac{5}{8} \times \frac{4}{4} = \frac{20}{32}
\]

### Step 3: Subtract the Fractions

Now, subtract \(\frac{9}{32}\) from \(\frac{20}{32}\):

\[
\frac{20}{32} - \frac{9}{32} = \frac{20 - 9}{32} = \frac{11}{32}
\]

### Final Answer

\[
\frac{5}{8} - \frac{9}{32} = \frac{11}{32}
\]

Would you like more details or have any questions?

### Related Questions:
1. How do you add fractions with different denominators?
2. What is the least common multiple (LCM) and how is it used in fraction operations?
3. How can fractions be simplified after addition or subtraction?
4. What are mixed fractions, and how do you subtract them?
5. How do you convert improper fractions to mixed numbers?

**Tip:** When subtracting fractions, always find the least common denominator to make the operation easier!

Learn how to subtract fractions with different denominators by solving 5/8 - 9/32. This step-by-step solution involves finding the least common denominator and applying fraction subtraction rules, suitable for students in Grades 5-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation