What is 2/3 ÷ 3/4?
Calculate 2/3 ÷ 3/4 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
2/3 ÷ 3/4 = \frac{8}{9}
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{3}{4} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{2}{3}
Change: ÷ becomes ×
Flip: \frac{3}{4} becomes \frac{4}{3}
\frac{2}{3} \div \frac{3}{4} = \frac{2}{3} \times \frac{4}{3}
Step 3
Multiply the Fractions
Multiply numerators: 2 × 4 = 8
Multiply denominators: 3 × 3 = 9
\frac{2}{3} \times \frac{4}{3} = \frac{2 \times 4}{3 \times 3} = \frac{8}{9}
Step 4
Final Answer
The result is 8/9
As a decimal: 0.888889
\frac{2}{3} \div \frac{3}{4} = \frac{8}{9}