Compare.
5/13 versus 2/5
To compare 5/13 and 2/5, we can find a common denominator and then compare the numerators.
To find a common denominator, we can multiply the denominators together: 13 * 5 = 65.
Now let's convert both fractions into fractions with the common denominator:
5/13 = (5/13) * (5/5) = 25/65
2/5 = (2/5) * (13/13) = 26/65
Now we can compare the numerators:
25/65 versus 26/65
Since 26 is greater than 25, we can conclude that 2/5 is greater than 5/13.
5/7 of 28
To find 5/7 of 28, you multiply 28 by 5/7.
(28) * (5/7) = (28 * 5) / 7 = 140/7
Simplifying the fraction, we get:
140/7 = 20
Therefore, 5/7 of 28 is 20.
To compare 5/13 and 2/5, we need to find a common denominator for both fractions. The least common multiple of 13 and 5 is 65.
To convert 5/13 to an equivalent fraction with a denominator of 65, we multiply the numerator and denominator by 5. This gives us (5 * 5) / (13 * 5) = 25/65.
To convert 2/5 to an equivalent fraction with a denominator of 65, we multiply the numerator and denominator by 13. This gives us (2 * 13) / (5 * 13) = 26/65.
Now that both fractions have the same common denominator, we can compare them.
25/65 is less than 26/65.
Therefore, 5/13 is less than 2/5.