Question

Find equivalent fractions with common denominator and order least to greatest 1/6 1/3 3/4

Answer 1

To get the common denominator, we need to get the multiples of each denominator.

multiples of 6 : 6, 12, 18
multiples of 3 : 3, 6, 9, 12
multiples of 4 : 4, 8, 12

The common multiple 12. So, we need to multiply each fraction by the corresponding number that will result to a product of 12 in the denominator. Whatever number is multiplied to the denominator must also be the number multiplied to the numerator.

1/6 * 2/2 = 2/12
1/3 * 4/4 = 4/12
3/4 * 3/3 = 9/12

Since the denominator is already common, we use the numerator to arrange it in order from least to greatest. 2 is lesser than 4 and 4 is less than 9.

So, order from least to greatest ⇒ 1/6 , 1/3, and 3/4