What is 3/5 ÷ 2/3?
Calculate 3/5 ÷ 2/3 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
3/5 ÷ 2/3 = \frac{9}{10}
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{3}{5} \div \frac{2}{3} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{3}{5}
Change: ÷ becomes ×
Flip: \frac{2}{3} becomes \frac{3}{2}
\frac{3}{5} \div \frac{2}{3} = \frac{3}{5} \times \frac{3}{2}
Step 3
Multiply the Fractions
Multiply numerators: 3 × 3 = 9
Multiply denominators: 5 × 2 = 10
\frac{3}{5} \times \frac{3}{2} = \frac{3 \times 3}{5 \times 2} = \frac{9}{10}
Step 4
Final Answer
The result is 9/10
As a decimal: 0.9
\frac{3}{5} \div \frac{2}{3} = \frac{9}{10}