What is 3/4 ÷ 3/8?
Calculate 3/4 ÷ 3/8 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
3/4 ÷ 3/8 = 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{3}{4} \div \frac{3}{8} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{3}{4}
Change: ÷ becomes ×
Flip: \frac{3}{8} becomes \frac{8}{3}
\frac{3}{4} \div \frac{3}{8} = \frac{3}{4} \times \frac{8}{3}
Step 3
Multiply the Fractions
Multiply numerators: 3 × 8 = 24
Multiply denominators: 4 × 3 = 12
\frac{3}{4} \times \frac{8}{3} = \frac{3 \times 8}{4 \times 3} = \frac{24}{12}
Step 4
Simplify the Result
Find the GCF of 24 and 12: GCF = 12
Divide both by 12
\frac{24}{12} = \frac{24 \div 12}{12 \div 12} = \frac{2}{1}
Step 5
Final Answer
The result is 2
As a decimal: 2
\frac{3}{4} \div \frac{3}{8} = 2