What is 1/4 ÷ 1/5?
Calculate 1/4 ÷ 1/5 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
1/4 ÷ 1/5 = \frac{5}{4}
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{1}{4} \div \frac{1}{5} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{1}{4}
Change: ÷ becomes ×
Flip: \frac{1}{5} becomes \frac{5}{1}
\frac{1}{4} \div \frac{1}{5} = \frac{1}{4} \times \frac{5}{1}
Step 3
Multiply the Fractions
Multiply numerators: 1 × 5 = 5
Multiply denominators: 4 × 1 = 4
\frac{1}{4} \times \frac{5}{1} = \frac{1 \times 5}{4 \times 1} = \frac{5}{4}
Step 4
Final Answer
The result is 5/4
As a mixed number: 1 1/4
As a decimal: 1.25
\frac{1}{4} \div \frac{1}{5} = \frac{5}{4}