What is 2/5 ÷ 1/3?
Calculate 2/5 ÷ 1/3 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
2/5 ÷ 1/3 = \frac{6}{5}
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}{5} \div \frac{1}{3} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{2}{5}
Change: ÷ becomes ×
Flip: \frac{1}{3} becomes \frac{3}{1}
\frac{2}{5} \div \frac{1}{3} = \frac{2}{5} \times \frac{3}{1}
Step 3
Multiply the Fractions
Multiply numerators: 2 × 3 = 6
Multiply denominators: 5 × 1 = 5
\frac{2}{5} \times \frac{3}{1} = \frac{2 \times 3}{5 \times 1} = \frac{6}{5}
Step 4
Final Answer
The result is 6/5
As a mixed number: 1 1/5
As a decimal: 1.2
\frac{2}{5} \div \frac{1}{3} = \frac{6}{5}