What is 5/6 ÷ 1/3?
Calculate 5/6 ÷ 1/3 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
5/6 ÷ 1/3 = \frac{5}{2}
Step-by-Step Solution
Step 1
Identify the Division Problem
To divide fractions, we use the "Keep, Change, Flip" method:
• Keep the first fraction
• Change division to multiplication
• Flip (take the reciprocal of) the second fraction
\frac{5}{6} \div \frac{1}{3} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{5}{6}
Change: ÷ becomes ×
Flip: \frac{1}{3} becomes \frac{3}{1}
\frac{5}{6} \div \frac{1}{3} = \frac{5}{6} \times \frac{3}{1}
Step 3
Multiply the Fractions
Multiply numerators: 5 × 3 = 15
Multiply denominators: 6 × 1 = 6
\frac{5}{6} \times \frac{3}{1} = \frac{5 \times 3}{6 \times 1} = \frac{15}{6}
Step 4
Simplify the Result
Find the GCF of 15 and 6: GCF = 3
Divide both by 3
\frac{15}{6} = \frac{15 \div 3}{6 \div 3} = \frac{5}{2}
Step 5
Final Answer
The result is 5/2
As a mixed number: 2 1/2
As a decimal: 2.5
\frac{5}{6} \div \frac{1}{3} = \frac{5}{2}