What is 1/2 × 3/4?
Calculate 1/2 × 3/4 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
1/2 × 3/4 = \frac{3}{8}
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{1}{2} \times \frac{3}{4} = ?
Step 2
Multiply the Numerators
Multiply all the top numbers (numerators) together:
1 × 3 = 3
\text{Numerator: } 1 \times 3 = 3
Step 3
Multiply the Denominators
Multiply all the bottom numbers (denominators) together:
2 × 4 = 8
\text{Denominator: } 2 \times 4 = 8
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{1}{2} \times \frac{3}{4} = \frac{3}{8}
Step 5
Check for Simplification
The GCF of 3 and 8 is 1, so the fraction is already in simplest form.
\frac{3}{8} \text{ (already simplified)}
Step 6
Final Answer
The result is 3/8
As a decimal: 0.375
\frac{1}{2} \times \frac{3}{4} = \frac{3}{8}