What is the decimal form of the mixed number 1 3/4?
Answer and explanation
Correct answer: 1.75
The governing concept is conversion of a mixed number into decimal notation. A mixed number consists of a whole part and a fractional part, so convert 3/4 first and then add the whole number 1. Since 3 ÷ 4 = 0.75, we get 1 + 0.75 = 1.75. Therefore option B is correct. The value 0.75 represents only the fractional part and leaves out the whole unit. The number 1.25 would correspond to 1 1/4, not 1 3/4. The notation 1.34 incorrectly treats the numerator and denominator as adjacent decimal digits rather than performing division. This also illustrates that a fraction with denominator 4 has a terminating decimal because 4 can be converted to 100 by multiplying numerator and denominator by 25: 3/4 = 75/100 = 0.75.
Frequently asked questions
What is the correct answer to this question?
1.75
Why is this the correct answer?
The governing concept is conversion of a mixed number into decimal notation. A mixed number consists of a whole part and a fractional part, so convert 3/4 first and then add the whole number 1. Since 3 ÷ 4 = 0.75, we get 1 + 0.75 = 1.75. Therefore option B is correct. The value 0.75 represents only the fractional part and leaves out the whole unit. The number 1.25 would correspond to 1 1/4, not 1 3/4. The notation 1.34 incorrectly treats the numerator and denominator as adjacent decimal digits rather than performing division. This also illustrates that a fraction with denominator 4 has a terminating decimal because 4 can be converted to 100 by multiplying numerator and denominator by 25: 3/4 = 75/100 = 0.75.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.
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