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