What is 5/6 ÷ 3/4?
Calculate 5/6 ÷ 3/4 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
5/6 ÷ 3/4 = \frac{10}{9}
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{5}{6} \div \frac{3}{4} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{5}{6}
Change: ÷ becomes ×
Flip: \frac{3}{4} becomes \frac{4}{3}
\frac{5}{6} \div \frac{3}{4} = \frac{5}{6} \times \frac{4}{3}
Step 3
Multiply the Fractions
Multiply numerators: 5 × 4 = 20
Multiply denominators: 6 × 3 = 18
\frac{5}{6} \times \frac{4}{3} = \frac{5 \times 4}{6 \times 3} = \frac{20}{18}
Step 4
Simplify the Result
Find the GCF of 20 and 18: GCF = 2
Divide both by 2
\frac{20}{18} = \frac{20 \div 2}{18 \div 2} = \frac{10}{9}
Step 5
Final Answer
The result is 10/9
As a mixed number: 1 1/9
As a decimal: 1.111111
\frac{5}{6} \div \frac{3}{4} = \frac{10}{9}