Place value conversion: Change 75/100 to a decimal number.
Aptitude
Decimal Fraction
Difficulty: Easy
Choose an option
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A0.075
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B0.75
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C0.0075
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D7.5
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E0.57
Answer
Correct Answer: 0.75
Explanation
Introduction / Context:Fractions with denominator 100 map directly to decimals with two places. Understanding this mapping improves speed in percentage and ratio problems.
Given Data / Assumptions:
- Fraction: 75/100
- Write in decimal form.
Concept / Approach:Divide the numerator by the denominator or move the decimal point two places to the left since the denominator is 100.
Step-by-Step Solution:
75 ÷ 100 = 0.75Therefore, 75/100 equals 0.75Verification / Alternative check:As a percentage, 0.75 equals 75%, consistent with 75 parts per hundred.
Why Other Options Are Wrong:0.075 and 0.0075 move the decimal too far. 7.5 is ten times too large. 0.57 swaps digits.
Common Pitfalls:Misplacing the decimal by one or two places due to rushing.
Final Answer:0.75