What is 3/4 × 1/4?
Calculate 3/4 × 1/4 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
3/4 × 1/4 = \frac{3}{16}
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{1}{4} = ?
Step 2
Multiply the Numerators
Multiply all the top numbers (numerators) together:
3 × 1 = 3
\text{Numerator: } 3 \times 1 = 3
Step 3
Multiply the Denominators
Multiply all the bottom numbers (denominators) together:
4 × 4 = 16
\text{Denominator: } 4 \times 4 = 16
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{3}{4} \times \frac{1}{4} = \frac{3}{16}
Step 5
Check for Simplification
The GCF of 3 and 16 is 1, so the fraction is already in simplest form.
\frac{3}{16} \text{ (already simplified)}
Step 6
Final Answer
The result is 3/16
As a decimal: 0.1875
\frac{3}{4} \times \frac{1}{4} = \frac{3}{16}