What is 3/4 × 3/8?
Calculate 3/4 × 3/8 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
3/4 × 3/8 = \frac{9}{32}
Step-by-Step Solution
Step 1
Identify the Fractions
We need to multiply the fractions together.
When multiplying fractions, we multiply the numerators together and the denominators together.
Unlike addition, we don't need a common denominator!
\frac{3}{4} \times \frac{3}{8} = ?
Step 2
Multiply the Numerators
Multiply all the top numbers (numerators) together:
3 × 3 = 9
\text{Numerator: } 3 \times 3 = 9
Step 3
Multiply the Denominators
Multiply all the bottom numbers (denominators) together:
4 × 8 = 32
\text{Denominator: } 4 \times 8 = 32
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{3}{4} \times \frac{3}{8} = \frac{9}{32}
Step 5
Check for Simplification
The GCF of 9 and 32 is 1, so the fraction is already in simplest form.
\frac{9}{32} \text{ (already simplified)}
Step 6
Final Answer
The result is 9/32
As a decimal: 0.28125
\frac{3}{4} \times \frac{3}{8} = \frac{9}{32}