What is 2/5 ÷ 3/7?
Calculate 2/5 ÷ 3/7 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
2/5 ÷ 3/7 = \frac{14}{15}
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{3}{7} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{2}{5}
Change: ÷ becomes ×
Flip: \frac{3}{7} becomes \frac{7}{3}
\frac{2}{5} \div \frac{3}{7} = \frac{2}{5} \times \frac{7}{3}
Step 3
Multiply the Fractions
Multiply numerators: 2 × 7 = 14
Multiply denominators: 5 × 3 = 15
\frac{2}{5} \times \frac{7}{3} = \frac{2 \times 7}{5 \times 3} = \frac{14}{15}
Step 4
Final Answer
The result is 14/15
As a decimal: 0.933333
\frac{2}{5} \div \frac{3}{7} = \frac{14}{15}