What is 2/3 × 1/4?
Calculate 2/3 × 1/4 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
2/3 × 1/4 = \frac{1}{6}
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{1}{4} = ?
Step 2
Multiply the Numerators
Multiply all the top numbers (numerators) together:
2 × 1 = 2
\text{Numerator: } 2 \times 1 = 2
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{1}{4} = \frac{2}{12}
Step 5
Simplify the Fraction
Find the GCF of 2 and 12: GCF = 2
Divide both numerator and denominator by 2
\frac{2}{12} = \frac{2 \div 2}{12 \div 2} = \frac{1}{6}
Step 6
Final Answer
The result is 1/6
As a decimal: 0.166667
\frac{2}{3} \times \frac{1}{4} = \frac{1}{6}