What is 2/5 × 3/7?
Calculate 2/5 × 3/7 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
2/5 × 3/7 = \frac{6}{35}
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{3}{7} = ?
Step 2
Multiply the Numerators
Multiply all the top numbers (numerators) together:
2 × 3 = 6
\text{Numerator: } 2 \times 3 = 6
Step 3
Multiply the Denominators
Multiply all the bottom numbers (denominators) together:
5 × 7 = 35
\text{Denominator: } 5 \times 7 = 35
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{2}{5} \times \frac{3}{7} = \frac{6}{35}
Step 5
Check for Simplification
The GCF of 6 and 35 is 1, so the fraction is already in simplest form.
\frac{6}{35} \text{ (already simplified)}
Step 6
Final Answer
The result is 6/35
As a decimal: 0.171429
\frac{2}{5} \times \frac{3}{7} = \frac{6}{35}