Which fraction represents 3.75 on the number line?
Answer and explanation
Correct answer: 15/4
A terminating decimal can be converted into a fraction by writing it over a power of ten and then reducing. Since 3.75 has two decimal places, 3.75 = 375/100. Divide the numerator and denominator by their common factor 25: 375 ÷ 25 = 15 and 100 ÷ 25 = 4. Thus 3.75 = 15/4, so option A is correct. Checking the distractors confirms this: 7/4 = 1.75, 3/4 = 0.75, and 75/3 = 25. Only 15/4 has the same numerical value as 3.75 and therefore marks the same point on the number line.
Frequently asked questions
What is the correct answer to this question?
15/4
Why is this the correct answer?
A terminating decimal can be converted into a fraction by writing it over a power of ten and then reducing. Since 3.75 has two decimal places, 3.75 = 375/100. Divide the numerator and denominator by their common factor 25: 375 ÷ 25 = 15 and 100 ÷ 25 = 4. Thus 3.75 = 15/4, so option A is correct. Checking the distractors confirms this: 7/4 = 1.75, 3/4 = 0.75, and 75/3 = 25. Only 15/4 has the same numerical value as 3.75 and therefore marks the same point on the number line.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Decimal expansion of rational numbers.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
