Find LCD!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Question

2/9, 1/6 I have to determine <,>, or =. I got 2/9>1/6. Is this correct?

Answer 1

The least common denominator (LCD) of two fractions is the least common multiple (LCM) of the denominators of those fractions.

Method 1:
Multiples of 6: 6, 12, 18, 24, 30, 36,...
Multiples of 9: 9, 18, 27, 36, 45, ...
Least common multiple of 6 and 9 is 18

Method 2:
list the prime factors of each number
prime factors of 6 = 2 x 3
prime factors of 9 = 3 x 3

LCM is the product of each factor the greatest number of times it occurs in any number.
LCM = 2 * 3 * 3 = 18
Least common multiple of 6 and 9 is 18

rewrite the fractions using LCD
2/9 = 2 *2 / 9 *2 = 4/18
1/6 = 1 *3 / 6 *3 = 3 /18

denominators are same. Compare the numerators.
So, 2/9 > 1/6
Your answers is correct.