To solve this, first simplify each fraction within the parentheses:
13/42 + 41/12 = (132)/(422) + (417)/(127) = 26/84 + 287/84 = 313/84
12/6 + 44/84 = (1214)/(614) + 44/84 = 168/84 + 44/84 = 212/84
Now plug these simplified fractions back into the equation:
(313/84) - 14/7 = (313 - 336)/84 = -23/84
(212/84) - 10/12 = (212 - 70)/84 = 142/84 = 71/42
Therefore, the final answer is:
(-23/84) + (71/42) = (-233)/(843) + (712)/(422) = -69/252 + 142/84 = -23/84 + 71/42 = (71-46)/42 = 25/42
To solve this, first simplify each fraction within the parentheses:
13/42 + 41/12 = (132)/(422) + (417)/(127) = 26/84 + 287/84 = 313/84
12/6 + 44/84 = (1214)/(614) + 44/84 = 168/84 + 44/84 = 212/84
Now plug these simplified fractions back into the equation:
(313/84) - 14/7 = (313 - 336)/84 = -23/84
(212/84) - 10/12 = (212 - 70)/84 = 142/84 = 71/42
Therefore, the final answer is:
(-23/84) + (71/42) = (-233)/(843) + (712)/(422) = -69/252 + 142/84 = -23/84 + 71/42 = (71-46)/42 = 25/42