What is 3/4 ÷ 1/4?
Calculate 3/4 ÷ 1/4 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
3/4 ÷ 1/4 = 3
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{3}{4} \div \frac{1}{4} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{3}{4}
Change: ÷ becomes ×
Flip: \frac{1}{4} becomes \frac{4}{1}
\frac{3}{4} \div \frac{1}{4} = \frac{3}{4} \times \frac{4}{1}
Step 3
Multiply the Fractions
Multiply numerators: 3 × 4 = 12
Multiply denominators: 4 × 1 = 4
\frac{3}{4} \times \frac{4}{1} = \frac{3 \times 4}{4 \times 1} = \frac{12}{4}
Step 4
Simplify the Result
Find the GCF of 12 and 4: GCF = 4
Divide both by 4
\frac{12}{4} = \frac{12 \div 4}{4 \div 4} = \frac{3}{1}
Step 5
Final Answer
The result is 3
As a decimal: 3
\frac{3}{4} \div \frac{1}{4} = 3