Question

Which symbol correctly compares the two fractions use <, > or = 1/2 and 8/13

Answer 1

1/2 < 8/13

Step-by-step explanation

We want to find the symbol that correctly compares the two fractions.

The easies way to do this is to express both fractions with a common denominator with the LCM of the two denominators as the new denominator.

The LCM of 2 and 13 is 26.

Therefore, we can write that:

`\begin{gathered} (1)/(2)=(13)/(26) \\ (8)/(13)=(16)/(26) \end{gathered}`

As we can now see, the two denominators are equal, but the numerator of 1/2 is less than that of 8/13.

This means that 1/2 is less than 8/13:

=> 1/2 < 8/13