What is 2/5 ÷ 1/5?
Calculate 2/5 ÷ 1/5 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
2/5 ÷ 1/5 = 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{2}{5} \div \frac{1}{5} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{2}{5}
Change: ÷ becomes ×
Flip: \frac{1}{5} becomes \frac{5}{1}
\frac{2}{5} \div \frac{1}{5} = \frac{2}{5} \times \frac{5}{1}
Step 3
Multiply the Fractions
Multiply numerators: 2 × 5 = 10
Multiply denominators: 5 × 1 = 5
\frac{2}{5} \times \frac{5}{1} = \frac{2 \times 5}{5 \times 1} = \frac{10}{5}
Step 4
Simplify the Result
Find the GCF of 10 and 5: GCF = 5
Divide both by 5
\frac{10}{5} = \frac{10 \div 5}{5 \div 5} = \frac{2}{1}
Step 5
Final Answer
The result is 2
As a decimal: 2
\frac{2}{5} \div \frac{1}{5} = 2