What is 1/8 × 2/3?
Calculate 1/8 × 2/3 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
1/8 × 2/3 = \frac{1}{12}
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{1}{8} \times \frac{2}{3} = ?
Step 2
Multiply the Numerators
Multiply all the top numbers (numerators) together:
1 × 2 = 2
\text{Numerator: } 1 \times 2 = 2
Step 3
Multiply the Denominators
Multiply all the bottom numbers (denominators) together:
8 × 3 = 24
\text{Denominator: } 8 \times 3 = 24
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{1}{8} \times \frac{2}{3} = \frac{2}{24}
Step 5
Simplify the Fraction
Find the GCF of 2 and 24: GCF = 2
Divide both numerator and denominator by 2
\frac{2}{24} = \frac{2 \div 2}{24 \div 2} = \frac{1}{12}
Step 6
Final Answer
The result is 1/12
As a decimal: 0.083333
\frac{1}{8} \times \frac{2}{3} = \frac{1}{12}