15 3/8-11 1/5

1 answer

To subtract these mixed numbers, we first need to convert them to improper fractions.

15 3/8 can be converted to an improper fraction:

15 3/8 = (15 * 8 + 3)/8 = 123/8

11 1/5 can be converted to an improper fraction:

11 1/5 = (11 * 5 + 1)/5 = 56/5

Now we can subtract the fractions:

(123/8) - (56/5)

To subtract fractions, we need to find a common denominator. In this case, the common denominator is 40 because both 8 and 5 can be divided evenly into it.

(123/8) = (123/8) * (5/5) = (615/40)
(56/5) = (56/5) * (8/8) = (448/40)

Now we can subtract:

(615/40) - (448/40) = (615 - 448)/40 = 167/40

Therefore, 15 3/8 - 11 1/5 = 167/40 as an improper fraction.