Final answer:
To simplify the mixed number 45 2/5, 126 3/4, 88 5/8, convert the whole numbers to fractions and add them together to get the sum. Then, simplify the resulting fraction by dividing the numerator and denominator by their greatest common divisor.
Step-by-step explanation:
To simplify the mixed number 45 2/5 126 3/4 88 5/8, we need to convert the whole numbers to fractions and then add all the fractions together. Let's start by converting the whole numbers to fractions. We can express 45 as 45/1, 126 as 126/1, and 88 as 88/1. Now, let's add the fractions together:
45 2/5 = 45/1 + 2/5 = 225/5 + 2/5 = 227/5
126 3/4 = 126/1 + 3/4 = 504/4 + 3/4 = 507/4
88 5/8 = 88/1 + 5/8 = 704/8 + 5/8 = 709/8
Now, we add the fractions together:
227/5 + 507/4 + 709/8 = (454/10) + (1267/10) + (709/8) = (908/20) + (2534/20) + (1777/20) = 5219/20
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1. So, the simplified mixed number is 260 19/20.