What is 3/5 × 2/3?
Calculate 3/5 × 2/3 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
3/5 × 2/3 = \frac{2}{5}
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{2}{3} = ?
Step 2
Multiply the Numerators
Multiply all the top numbers (numerators) together:
3 × 2 = 6
\text{Numerator: } 3 \times 2 = 6
Step 3
Multiply the Denominators
Multiply all the bottom numbers (denominators) together:
5 × 3 = 15
\text{Denominator: } 5 \times 3 = 15
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{3}{5} \times \frac{2}{3} = \frac{6}{15}
Step 5
Simplify the Fraction
Find the GCF of 6 and 15: GCF = 3
Divide both numerator and denominator by 3
\frac{6}{15} = \frac{6 \div 3}{15 \div 3} = \frac{2}{5}
Step 6
Final Answer
The result is 2/5
As a decimal: 0.4
\frac{3}{5} \times \frac{2}{3} = \frac{2}{5}