What is 5/6 ÷ 1/2?
Calculate 5/6 ÷ 1/2 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
5/6 ÷ 1/2 = \frac{5}{3}
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}{2} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{5}{6}
Change: ÷ becomes ×
Flip: \frac{1}{2} becomes \frac{2}{1}
\frac{5}{6} \div \frac{1}{2} = \frac{5}{6} \times \frac{2}{1}
Step 3
Multiply the Fractions
Multiply numerators: 5 × 2 = 10
Multiply denominators: 6 × 1 = 6
\frac{5}{6} \times \frac{2}{1} = \frac{5 \times 2}{6 \times 1} = \frac{10}{6}
Step 4
Simplify the Result
Find the GCF of 10 and 6: GCF = 2
Divide both by 2
\frac{10}{6} = \frac{10 \div 2}{6 \div 2} = \frac{5}{3}
Step 5
Final Answer
The result is 5/3
As a mixed number: 1 2/3
As a decimal: 1.666667
\frac{5}{6} \div \frac{1}{2} = \frac{5}{3}