What is 2/3 × 3/4?
Calculate 2/3 × 3/4 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
2/3 × 3/4 = \frac{1}{2}
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}{3} \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:
3 × 4 = 12
\text{Denominator: } 3 \times 4 = 12
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{2}{3} \times \frac{3}{4} = \frac{6}{12}
Step 5
Simplify the Fraction
Find the GCF of 6 and 12: GCF = 6
Divide both numerator and denominator by 6
\frac{6}{12} = \frac{6 \div 6}{12 \div 6} = \frac{1}{2}
Step 6
Final Answer
The result is 1/2
As a decimal: 0.5
\frac{2}{3} \times \frac{3}{4} = \frac{1}{2}