What is 7/8 ÷ 1/2?
Calculate 7/8 ÷ 1/2 with a complete step-by-step solution. Learn how to divide fractions and understand the process.
Answer:
7/8 ÷ 1/2 = \frac{7}{4}
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{7}{8} \div \frac{1}{2} = ?
Step 2
Apply Keep, Change, Flip
Keep: \frac{7}{8}
Change: ÷ becomes ×
Flip: \frac{1}{2} becomes \frac{2}{1}
\frac{7}{8} \div \frac{1}{2} = \frac{7}{8} \times \frac{2}{1}
Step 3
Multiply the Fractions
Multiply numerators: 7 × 2 = 14
Multiply denominators: 8 × 1 = 8
\frac{7}{8} \times \frac{2}{1} = \frac{7 \times 2}{8 \times 1} = \frac{14}{8}
Step 4
Simplify the Result
Find the GCF of 14 and 8: GCF = 2
Divide both by 2
\frac{14}{8} = \frac{14 \div 2}{8 \div 2} = \frac{7}{4}
Step 5
Final Answer
The result is 7/4
As a mixed number: 1 3/4
As a decimal: 1.75
\frac{7}{8} \div \frac{1}{2} = \frac{7}{4}