Answer :
4/5 or 13/15.
Let us try to make the bottom of the first fraction to be 15, by multiplying the bottom 5 by 3, and of course we would multiply the top also.
(4/5)*(3/3) = 12/15
So we are now comparing: 12/15 and 13/15
We can see that 13/15 is greater, because it has a higher numerator.
So 13/15 is greater than 4/5
OR
4/5 13/15 Cross Multiply
4*15 13*5
60 65
60 < 65
Implies that 4/5 is less than 13/15 and hence 13/15 is greater than 4/5.
OR
Use your calculator and convert both to decimal
45 13/15
0.80 0.8667
You can see that 13/15 is greater than 4/5.
Let us try to make the bottom of the first fraction to be 15, by multiplying the bottom 5 by 3, and of course we would multiply the top also.
(4/5)*(3/3) = 12/15
So we are now comparing: 12/15 and 13/15
We can see that 13/15 is greater, because it has a higher numerator.
So 13/15 is greater than 4/5
OR
4/5 13/15 Cross Multiply
4*15 13*5
60 65
60 < 65
Implies that 4/5 is less than 13/15 and hence 13/15 is greater than 4/5.
OR
Use your calculator and convert both to decimal
45 13/15
0.80 0.8667
You can see that 13/15 is greater than 4/5.
To determine which fraction is greater between 4/5 and 13/15, we convert 4/5 to have the same denominator as 13/15, resulting in 12/15. Comparing 12/15 and 13/15, it is clear that 13/15 is greater because it has a larger numerator.
To compare which is greater between the fractions 4/5 and 13/15, we can convert them to have a common denominator or convert them into decimal forms and then compare. To convert into a common denominator, we find a number that both denominators 5 and 15 go into, which is 15 in this case. Now, to make the comparison easier, we will convert 4/5 into a fraction with a denominator of 15.
[tex]4/5 = (4 imes 3) / (5 imes 3) = 12/15[/tex]
Now, we can easily compare 12/15 and 13/15. Since both fractions have the same denominator, we just need to compare the numerators. The fraction 13/15 has a larger numerator than 12/15, thus it is the greater fraction.
Therefore, 13/15 is greater than 4/5.
