What is 5/6 × 1/3?
Calculate 5/6 × 1/3 with a complete step-by-step solution. Learn how to multiply fractions and understand the process.
Answer:
5/6 × 1/3 = \frac{5}{18}
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{5}{6} \times \frac{1}{3} = ?
Step 2
Multiply the Numerators
Multiply all the top numbers (numerators) together:
5 × 1 = 5
\text{Numerator: } 5 \times 1 = 5
Step 3
Multiply the Denominators
Multiply all the bottom numbers (denominators) together:
6 × 3 = 18
\text{Denominator: } 6 \times 3 = 18
Step 4
Write the Unsimplified Result
Putting the products together:
\frac{5}{6} \times \frac{1}{3} = \frac{5}{18}
Step 5
Check for Simplification
The GCF of 5 and 18 is 1, so the fraction is already in simplest form.
\frac{5}{18} \text{ (already simplified)}
Step 6
Final Answer
The result is 5/18
As a decimal: 0.277778
\frac{5}{6} \times \frac{1}{3} = \frac{5}{18}