Final answer:
The expression (5+7/8)\u00d73/4\u00f73 simplifies to 47/32. You start by adding 5 and 7/8 to get 47/8, then multiply by 3/4, and finally divide by 3 to get the simplest form.
Step-by-step explanation:
To calculate the expression (5+7/8)\u00d73/4\u00f73, you must first resolve the addition within the parentheses, then multiply by 3/4, and finally divide by 3. Let's break it down step by step:
- Firstly, add 5 and 7/8: 5 + 7/8 = 40/8 + 7/8 = 47/8.
- Then, multiply this result by 3/4: (47/8) \u00d7 3/4.
- Using the rule of multiplying fractions, multiply the numerators together and multiply the denominators together: 47 \u00d7 3 = 141 and 8 \u00d7 4 = 32, so we have 141/32.
- Finally, divide this by 3. Dividing by 3 is the same as multiplying by 1/3, so (141/32) \u00d7 1/3 = 141/96.
- Now, simplify by dividing both numerator and denominator by their greatest common divisor, which is 3: 141/3 = 47 and 96/3 = 32.
Thus the final answer in its simplest form is 47/32.