Use common denominators to compare the pair of rational numbers of 5/7 and 5/8.
What is the LCD for 5/7 and 5/8?
What are the equivalent fractions?
I don't know, I don't understand fractions
http://www.math.com/school/subject1/lessons/S1U4L3GL.html
To compare the rational numbers 5/7 and 5/8 using common denominators, we need to find a common denominator for these fractions.
First, we need to find the least common multiple (LCM) of the denominators 7 and 8. The LCM is the smallest number that is divisible by both 7 and 8.
To find the LCM, we can list the multiples of each denominator:
Multiples of 7: 7, 14, 21, 28, 35, 42, ...
Multiples of 8: 8, 16, 24, 32, 40, 48, ...
From this list, we can see that the LCM of 7 and 8 is 56, as it is the smallest number that appears in both lists.
Now, we need to rewrite both fractions with this common denominator of 56.
To convert 5/7 to have a denominator of 56, we multiply both the numerator and the denominator by 8 (the factor to get from 7 to 56):
(5/7) * (8/8) = 40/56
To convert 5/8 to have a denominator of 56, we multiply both the numerator and the denominator by 7 (the factor to get from 8 to 56):
(5/8) * (7/7) = 35/56
Now we can compare the fractions 40/56 and 35/56. Since both have the same denominator, we only need to compare the numerators.
In this case, 40/56 is greater than 35/56 because the numerator 40 is larger than the numerator 35.
Therefore, the rational number 5/7 is greater than the rational number 5/8.