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