What is 4/5 ÷ 2/3?
Calculate 4/5 ÷ 2/3 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
4/5 ÷ 2/3 = \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{4}{5} \div \frac{2}{3} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{4}{5}
Change: ÷ becomes ×
Flip: \frac{2}{3} becomes \frac{3}{2}
\frac{4}{5} \div \frac{2}{3} = \frac{4}{5} \times \frac{3}{2}
Step 3
Multiply the Fractions
Multiply numerators: 4 × 3 = 12
Multiply denominators: 5 × 2 = 10
\frac{4}{5} \times \frac{3}{2} = \frac{4 \times 3}{5 \times 2} = \frac{12}{10}
Step 4
Simplify the Result
Find the GCF of 12 and 10: GCF = 2
Divide both by 2
\frac{12}{10} = \frac{12 \div 2}{10 \div 2} = \frac{6}{5}
Step 5
Final Answer
The result is 6/5
As a mixed number: 1 1/5
As a decimal: 1.2
\frac{4}{5} \div \frac{2}{3} = \frac{6}{5}