What is 2/3 ÷ 1/4?
Calculate 2/3 ÷ 1/4 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
2/3 ÷ 1/4 = \frac{8}{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{2}{3} \div \frac{1}{4} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{2}{3}
Change: ÷ becomes ×
Flip: \frac{1}{4} becomes \frac{4}{1}
\frac{2}{3} \div \frac{1}{4} = \frac{2}{3} \times \frac{4}{1}
Step 3
Multiply the Fractions
Multiply numerators: 2 × 4 = 8
Multiply denominators: 3 × 1 = 3
\frac{2}{3} \times \frac{4}{1} = \frac{2 \times 4}{3 \times 1} = \frac{8}{3}
Step 4
Final Answer
The result is 8/3
As a mixed number: 2 2/3
As a decimal: 2.666667
\frac{2}{3} \div \frac{1}{4} = \frac{8}{3}