High School

Which symbol correctly compares the fractions \(-\frac{5}{6}\) and \(-\frac{13}{15}\)?

Answer :

"<" (less than) is the symbol to compare fractions - 5/6 -13/15

To compare the fractions -5/6 and -13/15, we need to find a common denominator and then compare the numerators.

To do this, we can find the least common multiple (LCM) of the denominators 6 and 15, which is 30. Then, we can convert both fractions to have a denominator of 30 as follows:

-5/6 = (-5/6) x (5/5) = -25/30

-13/15 = (-13/15) x (2/2) = -26/30

Now that both fractions have the same denominator, we can compare the numerators.

Since -26/30 is less than -25/30, we can write:

-13/15 < -5/6

Therefore, the correct symbol to compare these fractions is "<" (less than).

To learn more about fractions

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