Final answer:
One fourth the difference of four sixths and three twelfths is 5/48.
Step-by-step explanation:
One fourth the difference of four sixths and three twelfths can be calculated step by step. First, find the difference between four sixths and three twelfths. Four sixths equals two thirds, and three twelfths equals one fourth. So, the difference is two thirds minus one fourth, which can be written as (2/3) - (1/4). To subtract fractions, find a common denominator, which in this case is 12. Multiply the numerators and denominators by the necessary factors to obtain a common denominator: (2/3) * (4/4) - (1/4) * (3/3) = 8/12 - 3/12 = 5/12. Finally, find one fourth of 5/12 by multiplying 5/12 by 1/4: (5/12) * (1/4) = 5/48.