Answer :
To order, 13/15 is greater than 5/6.
To compare the fractions 13/15 and 5/6, we first need to rewrite them with a common denominator. Here’s how you can do that:
- Find the Least Common Denominator (LCD)
The denominators are 15 and 6. To find the least common denominator:
List the multiples of each denominator:
Multiples of 15: 15, 30, 45, 60, 75, …
Multiples of 6: 6, 12, 18, 24, 30, …
The smallest common multiple is 30. So, the least common denominator is 30.
- Convert Each Fraction to Have the Common Denominator
Convert 13/15
To convert 13/15 to a fraction with a denominator of 30, multiply both the numerator and the denominator by 2:
(13/15) × (2/2) = 26/30
Convert 5/6
To convert 5/6 to a fraction with a denominator of 30, multiply both the numerator and the denominator by 5:
(5/6) × (5/5) = 25/30
- Compare the Fractions
Now we compare 26/30 and 25/30:
26/30 is greater than 25/30.
- Thus, the order of the fractions is:
13/15 > 5/6
The complete question is:
First, rewrite 13/15 and 5/6 so that they have a common denominator and then order 13/15 and 5/6. Use = if they are the same.
