Question

Cooper is studying two fractions that are both less than 1. The first fraction has a denominator of 4 and rounds to 1. The second fraction has a denominator of 6 and the same numerator as the first fraction. Is the second fraction closest to 1, 1/2, or 1? Explain

Answer 1

Answer: The answer is $\dfrac{1}{2}.$

Step-by-step explanation: Given that Cooper is studying two fractions and both are less than 1. The first fraction has a denominator of 4 and rounds to 1.

So, let the first fraction be

$F-f=\dfrac{3}{4}=0.75,$

and surely it will rounds to 1.

Also, the second fraction has a denominator of 6 and the same numerator as the first fraction.

Therefore, the second fraction will be

$F_s=\dfrac{3}{6}=\dfrac{1}{2}.$

Thus, the second fraction will be closest to $\dfrac{1}{2}.$