Given fractions are [tex] \frac{1}{2} ,\frac{3}{5} ,\frac{9}{15} [/tex]
To find the least common denominators of the given fractions, we need to find the least common multiple (L.C.M.) of the numbers given in denominators i.e. 2, 5, and 15.
Finding the LCM of 2, 5, and 15 :-
2 = 1 x 2
5 = 1 x 5
15 = 3 x 5
So least common multiple of 2, 5, and 15 would be (1 x 2 x 3 x 5) = 30.
Hence, common denominator would be 30.
The teacher tells us to double the common denominator to find the answer that is the number of the day.
So we need to double the value of common denominator i.e. 2 x 30 = 60.
It means that 60 is the number of the day.
Hence, 60 is the final answer.
