What is 2/5 × 3/4?
Calculate 2/5 × 3/4 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
2/5 × 3/4 = \frac{3}{10}
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}{4} = ?
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 × 4 = 20
\text{Denominator: } 5 \times 4 = 20
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{2}{5} \times \frac{3}{4} = \frac{6}{20}
Step 5
Simplify the Fraction
Find the GCF of 6 and 20: GCF = 2
Divide both numerator and denominator by 2
\frac{6}{20} = \frac{6 \div 2}{20 \div 2} = \frac{3}{10}
Step 6
Final Answer
The result is 3/10
As a decimal: 0.3
\frac{2}{5} \times \frac{3}{4} = \frac{3}{10}