What is 4/5 ÷ 1/2?
Calculate 4/5 ÷ 1/2 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
4/5 ÷ 1/2 = \frac{8}{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{1}{2} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{4}{5}
Change: ÷ becomes ×
Flip: \frac{1}{2} becomes \frac{2}{1}
\frac{4}{5} \div \frac{1}{2} = \frac{4}{5} \times \frac{2}{1}
Step 3
Multiply the Fractions
Multiply numerators: 4 × 2 = 8
Multiply denominators: 5 × 1 = 5
\frac{4}{5} \times \frac{2}{1} = \frac{4 \times 2}{5 \times 1} = \frac{8}{5}
Step 4
Final Answer
The result is 8/5
As a mixed number: 1 3/5
As a decimal: 1.6
\frac{4}{5} \div \frac{1}{2} = \frac{8}{5}