What is 2/3 ÷ 4/5?
Calculate 2/3 ÷ 4/5 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
2/3 ÷ 4/5 = \frac{5}{6}
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{4}{5} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{2}{3}
Change: ÷ becomes ×
Flip: \frac{4}{5} becomes \frac{5}{4}
\frac{2}{3} \div \frac{4}{5} = \frac{2}{3} \times \frac{5}{4}
Step 3
Multiply the Fractions
Multiply numerators: 2 × 5 = 10
Multiply denominators: 3 × 4 = 12
\frac{2}{3} \times \frac{5}{4} = \frac{2 \times 5}{3 \times 4} = \frac{10}{12}
Step 4
Simplify the Result
Find the GCF of 10 and 12: GCF = 2
Divide both by 2
\frac{10}{12} = \frac{10 \div 2}{12 \div 2} = \frac{5}{6}
Step 5
Final Answer
The result is 5/6
As a decimal: 0.833333
\frac{2}{3} \div \frac{4}{5} = \frac{5}{6}