What is 3/5 ÷ 4/7?
Calculate 3/5 ÷ 4/7 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
3/5 ÷ 4/7 = \frac{21}{20}
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}{5} \div \frac{4}{7} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{3}{5}
Change: ÷ becomes ×
Flip: \frac{4}{7} becomes \frac{7}{4}
\frac{3}{5} \div \frac{4}{7} = \frac{3}{5} \times \frac{7}{4}
Step 3
Multiply the Fractions
Multiply numerators: 3 × 7 = 21
Multiply denominators: 5 × 4 = 20
\frac{3}{5} \times \frac{7}{4} = \frac{3 \times 7}{5 \times 4} = \frac{21}{20}
Step 4
Final Answer
The result is 21/20
As a mixed number: 1 1/20
As a decimal: 1.05
\frac{3}{5} \div \frac{4}{7} = \frac{21}{20}