What is 5/8 ÷ 1/4?
Calculate 5/8 ÷ 1/4 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
5/8 ÷ 1/4 = \frac{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{5}{8} \div \frac{1}{4} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{5}{8}
Change: ÷ becomes ×
Flip: \frac{1}{4} becomes \frac{4}{1}
\frac{5}{8} \div \frac{1}{4} = \frac{5}{8} \times \frac{4}{1}
Step 3
Multiply the Fractions
Multiply numerators: 5 × 4 = 20
Multiply denominators: 8 × 1 = 8
\frac{5}{8} \times \frac{4}{1} = \frac{5 \times 4}{8 \times 1} = \frac{20}{8}
Step 4
Simplify the Result
Find the GCF of 20 and 8: GCF = 4
Divide both by 4
\frac{20}{8} = \frac{20 \div 4}{8 \div 4} = \frac{5}{2}
Step 5
Final Answer
The result is 5/2
As a mixed number: 2 1/2
As a decimal: 2.5
\frac{5}{8} \div \frac{1}{4} = \frac{5}{2}