What is 2/3 × 1/6?
Calculate 2/3 × 1/6 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
2/3 × 1/6 = \frac{1}{9}
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}{6} = ?
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 × 6 = 18
\text{Denominator: } 3 \times 6 = 18
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{2}{3} \times \frac{1}{6} = \frac{2}{18}
Step 5
Simplify the Fraction
Find the GCF of 2 and 18: GCF = 2
Divide both numerator and denominator by 2
\frac{2}{18} = \frac{2 \div 2}{18 \div 2} = \frac{1}{9}
Step 6
Final Answer
The result is 1/9
As a decimal: 0.111111
\frac{2}{3} \times \frac{1}{6} = \frac{1}{9}