You must first find the common denominator and then multiply each fraction by a fraction that will make both denominators the same. In this case, the common denominator is 40. Refer to the related link for more information.
(5/5)(13/8) - (8/8)(3/5) =
65/40 - 24/40 =
41/40
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13/5 is already in simplest form.
3/5 divided by 3/8 equals 24/15 which can be simplified to 8/5 or 1 3/5.
3/8 * 5/12 = (3*5)/(8*12) = (1*5)/(8*4) = 5/32
5/8 ÷ 3/4 = 5/8 × 4/3 = (5×4)/(8×3) = 20/24 = 5/6
5/6 or 3/8 = (5*3)/(6*8) = 15/48 = 5/16