What is 1/4 ÷ 1/2?
Calculate 1/4 ÷ 1/2 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
1/4 ÷ 1/2 = \frac{1}{2}
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}{2} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{1}{4}
Change: ÷ becomes ×
Flip: \frac{1}{2} becomes \frac{2}{1}
\frac{1}{4} \div \frac{1}{2} = \frac{1}{4} \times \frac{2}{1}
Step 3
Multiply the Fractions
Multiply numerators: 1 × 2 = 2
Multiply denominators: 4 × 1 = 4
\frac{1}{4} \times \frac{2}{1} = \frac{1 \times 2}{4 \times 1} = \frac{2}{4}
Step 4
Simplify the Result
Find the GCF of 2 and 4: GCF = 2
Divide both by 2
\frac{2}{4} = \frac{2 \div 2}{4 \div 2} = \frac{1}{2}
Step 5
Final Answer
The result is 1/2
As a decimal: 0.5
\frac{1}{4} \div \frac{1}{2} = \frac{1}{2}