Which is a correct comparison of the fractions 45 and 56Solu

Which is a correct comparison of the fractions? 4/5 and 5/6

Solution

When comparing two fractions, the best thing to do is to get both fractions to have the same denominator (or a \"common denominator\") and then compare numerators. For the two fractions 4/5 and 5/6, the least common denominator is 30.

The fraction 4/5 is equivalent to 24/30 (To get this I multiplied both the numerator and denominator by 6).

The fraction 5/6 is equivalent to 25/30 (To get this I multiplied both the numerator and denominator by 5).

Now I can compare 24/30 against 25/30. Since 25 is greater than 24, 25/30 (or originally 5/6) is the larger fraction.