What is 2/3 ÷ 1/6?
Calculate 2/3 ÷ 1/6 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
2/3 ÷ 1/6 = 4
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{2}{3} \div \frac{1}{6} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{2}{3}
Change: ÷ becomes ×
Flip: \frac{1}{6} becomes \frac{6}{1}
\frac{2}{3} \div \frac{1}{6} = \frac{2}{3} \times \frac{6}{1}
Step 3
Multiply the Fractions
Multiply numerators: 2 × 6 = 12
Multiply denominators: 3 × 1 = 3
\frac{2}{3} \times \frac{6}{1} = \frac{2 \times 6}{3 \times 1} = \frac{12}{3}
Step 4
Simplify the Result
Find the GCF of 12 and 3: GCF = 3
Divide both by 3
\frac{12}{3} = \frac{12 \div 3}{3 \div 3} = \frac{4}{1}
Step 5
Final Answer
The result is 4
As a decimal: 4
\frac{2}{3} \div \frac{1}{6} = 4