Final answer:
To solve (1/3 x 2/8) + (5/12 - 1/4), first calculate (1/3 x 2/8) = 1/12, and (5/12 - 1/4) = 1/6. Then, add these results to get (1/12 + 1/6) = 3/12, which simplifies to 1/4. Thus, the final answer is 1/4.
Step-by-step explanation:
The question asks to solve the equation (1/3 x 2/8) + (5/12 - 1/4). To solve this, we first calculate each part within the parentheses:
- For the first part, (1/3 x 2/8), multiply the numerators and denominators separately: (1 x 2)/(3 x 8) which simplifies to 2/24 or 1/12 after dividing both the numerator and denominator by 2.
- For the second part, (5/12 - 1/4), find a common denominator for the two fractions which is 12, and subtract the numerators: (5/12 - 3/12) which simplifies to 2/12 or 1/6 after reducing.
Now, add the results of both parts to get your final answer:
(1/12) + (1/6) = (1 + 2)/12 = 3/12 which simplifies to 1/4 after dividing both the numerator and denominator by 3. So, the final answer is 1/4.