What is 1/3 ÷ 2/3?
Calculate 1/3 ÷ 2/3 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
1/3 ÷ 2/3 = \frac{1}{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{1}{3} \div \frac{2}{3} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{1}{3}
Change: ÷ becomes ×
Flip: \frac{2}{3} becomes \frac{3}{2}
\frac{1}{3} \div \frac{2}{3} = \frac{1}{3} \times \frac{3}{2}
Step 3
Multiply the Fractions
Multiply numerators: 1 × 3 = 3
Multiply denominators: 3 × 2 = 6
\frac{1}{3} \times \frac{3}{2} = \frac{1 \times 3}{3 \times 2} = \frac{3}{6}
Step 4
Simplify the Result
Find the GCF of 3 and 6: GCF = 3
Divide both by 3
\frac{3}{6} = \frac{3 \div 3}{6 \div 3} = \frac{1}{2}
Step 5
Final Answer
The result is 1/2
As a decimal: 0.5
\frac{1}{3} \div \frac{2}{3} = \frac{1}{2}