Question

Enter the pair of fractions as a pair of fractions with the smallest common denominator between the two dons and The pair of fractions with a common denominator are and

Answer 1

The pair of fractions with the smallest common denominator is;

`(9)/(12)\text{ and }(4)/(12)`

Step-by-step explanation:

Given the fractions;

`(3)/(4)\text{ and }(1)/(3)`

To write it as a pair of fractions with the smallest common denominator, let us find the least common multiple of the denominator of the fractions.

`\text{LCM = 3}*4=12`

expressing the fractions with a denominator of 12;

`\begin{gathered} (3)/(4)=(3(3))/(3(4))=(9)/(12) \\ (1)/(3)=(4(1))/(4(3))=(4)/(12) \end{gathered}`

Therefore, The pair of fractions with the smallest common denominator is;

`(9)/(12)\text{ and }(4)/(12)`