Rewrite the division as a fraction: 0.5 3.25 .
Multiply both the numerator and the denominator by 100 to remove the decimals: 50 325 .
Simplify the fraction: 2 13 .
Convert the improper fraction to a decimal: 6.5 .
Explanation
Understanding the Problem We need to divide 3.25 by 0.5. This is a straightforward division problem.
Performing the Division To perform the division, we can rewrite it as a fraction: 0.5 3.25 To get rid of the decimals, we multiply both the numerator and the denominator by 100: 0.5 × 100 3.25 × 100 = 50 325 Now, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 25: 50 ÷ 25 325 ÷ 25 = 2 13 Finally, we convert the improper fraction to a decimal: 2 13 = 6.5
Final Answer Therefore, 3.25 ÷ 0.5 = 6.5 .
Examples
Understanding division is crucial in everyday scenarios, such as splitting a bill with friends. If a meal costs $32.50 and you are splitting it evenly among 5 friends, you would perform the division 32.50 ÷ 5 to find out that each person owes $6.50. This simple calculation ensures fair distribution of costs.
To divide 3.25 by 0.5 , rewrite it as a fraction: 0.5 3.25 . Then multiply both parts by 100 to eliminate decimals, simplify to 2 13 , and convert to a decimal giving the final answer as 6.5 .
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