To solve this expression, we can follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.
First, let's simplify the expression inside the parentheses: (2 + 3,5) = 5,5 (Adding 2 and 3.5)
Now, let's simplify the expression inside the brackets: (7/8 + 6) = 7/8 + 6
To add fractions, we need a common denominator. In this case, the common denominator is 8. To make the fraction 7/8 have a denominator of 8, we can multiply the numerator and denominator by 8:
(7/8) * (8/8) + 6 = 7/8 * 8/8 + 6 = 56/64 + 6
Now we can add the fractions. Since the denominators are the same, we can add the numerators:
56/64 + 6 = 56 + 6 = 62/64
Finally, let's simplify the fraction:
62/64 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
62 ÷ 2 / 64 ÷ 2 = 31/32
Therefore, the expression (2+3,5) * (7/8+6) simplifies to 5,5 * 31/32, or in decimal form, approximately 5.5 * 0.96875.
