Write the fraction equivalent to 0.87. A. 87/99 B. 87/100 C. 87/90 D. 87/00
The Correct Answer and Explanation is:
The correct fraction equivalent to 0.87 is B. 87/100.
Explanation:
The decimal number 0.87 represents the number 87 hundredths. In terms of fractions, the digits after the decimal point represent the numerator, and the place value of the last digit represents the denominator. In this case, 87 is in the hundredths place, meaning the denominator will be 100.
Thus, 0.87 can be written as:0.87=871000.87 = \frac{87}{100}0.87=10087
This fraction is already in its simplest form because 87 and 100 have no common divisors other than 1. To simplify a fraction, we divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 87 and 100 is 1, so the fraction is already in the simplest form.
To further validate this:
- A. 87/99 is incorrect because it simplifies to a fraction greater than 1, which doesn’t represent 0.87.
- C. 87/90 is incorrect because 87 divided by 90 equals 0.9666… which is not equal to 0.87.
- D. 87/00 is an invalid option since 0 cannot be in the denominator of a fraction.
So, the correct choice is B. 87/100.
