What is 3/4 ÷ 2/3?
Calculate 3/4 ÷ 2/3 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
3/4 ÷ 2/3 = \frac{9}{8}
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}{4} \div \frac{2}{3} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{3}{4}
Change: ÷ becomes ×
Flip: \frac{2}{3} becomes \frac{3}{2}
\frac{3}{4} \div \frac{2}{3} = \frac{3}{4} \times \frac{3}{2}
Step 3
Multiply the Fractions
Multiply numerators: 3 × 3 = 9
Multiply denominators: 4 × 2 = 8
\frac{3}{4} \times \frac{3}{2} = \frac{3 \times 3}{4 \times 2} = \frac{9}{8}
Step 4
Final Answer
The result is 9/8
As a mixed number: 1 1/8
As a decimal: 1.125
\frac{3}{4} \div \frac{2}{3} = \frac{9}{8}