What is 2/5 × 1/5?
Calculate 2/5 × 1/5 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
2/5 × 1/5 = \frac{2}{25}
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{2}{5} \times \frac{1}{5} = ?
Step 2
Multiply the Numerators
Multiply all the top numbers (numerators) together:
2 × 1 = 2
\text{Numerator: } 2 \times 1 = 2
Step 3
Multiply the Denominators
Multiply all the bottom numbers (denominators) together:
5 × 5 = 25
\text{Denominator: } 5 \times 5 = 25
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{2}{5} \times \frac{1}{5} = \frac{2}{25}
Step 5
Check for Simplification
The GCF of 2 and 25 is 1, so the fraction is already in simplest form.
\frac{2}{25} \text{ (already simplified)}
Step 6
Final Answer
The result is 2/25
As a decimal: 0.08
\frac{2}{5} \times \frac{1}{5} = \frac{2}{25}