The correct answer is: True (2/3 is greater than 2/6)
Explanation:
Method-1 (Instant solution):
This is a shortcut method in which we look at the numerators and denominators of both fractions and compare them with each other.
Case-1: If the number of first fraction in numerator is greater than the number of the second fraction in numerator, and the denominators of both fractions are the same, then we can say that the first fraction is greater than the second fraction.
Case-2: If the number of first fraction in denominator is smaller than the number of the second fraction in denominator, and the numerators of both fractions are the same, then we can say that the first fraction is greater than the second fraction.
Here in this question, the numerators of both fractions are same, i.e. 2, hence it is the Case-2. The first fraction 2/3 has the denominator 3 and the second fraction 2/6 has the denominator 6, and 3 < 6; therefore, we can say that 2/3 is greater than 2/6.
Method-2 (Mathematical):
Subtract the second fraction from the first, and see whether the answer is negative or not. If the answer is negative, the first fraction will be smaller than the second fraction, otherwise, the first fraction will be greater than the other fraction.
First fraction: 2/3
Second fraction 2/6
Subtract:
(2/3) - (2/6) = (4-2)/6 = 2/6 = +1/3
As the answer is POSITIVE, we can say that the first fraction is indeed greater than the second fraction.