What is 3/5 × 4/7?
Calculate 3/5 × 4/7 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
3/5 × 4/7 = \frac{12}{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{3}{5} \times \frac{4}{7} = ?
Step 2
Multiply the Numerators
Multiply all the top numbers (numerators) together:
3 × 4 = 12
\text{Numerator: } 3 \times 4 = 12
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{3}{5} \times \frac{4}{7} = \frac{12}{35}
Step 5
Check for Simplification
The GCF of 12 and 35 is 1, so the fraction is already in simplest form.
\frac{12}{35} \text{ (already simplified)}
Step 6
Final Answer
The result is 12/35
As a decimal: 0.342857
\frac{3}{5} \times \frac{4}{7} = \frac{12}{35}