Answer:
0
Explanation:
Step 1: Convert 17 4/9 from a mixed number to an improper fraction:
- Converting 17 4/9 will make it easier to perform the operations.
- When converting a mixed number to an improper fraction, we keep the same denominator (i.e., 9).
- For the new numerator, we add the old numerator (i.e., 4) to the product of the whole number (i.e., 17) and the denominator (i.e., 9):
((17 * 9) + 4) / 9
(153 + 4) / 9
157/9
Thus, 17 4/9 as an improper fraction is 157/9.
Thus, our new equation is given by:
157/9 + 5/9 - 8 - 10
Step 2: Find the least common denominator (LCD) of the numbers:
- The least common denominator (LCD) is the least common multiple of the denominators.
- Finding it allows us to clear the fractions.
- Note that -8 and -10 is the same as -8/1 and -10/1.
- The least common denominator between 1 and 9 is 9.
Now we multiply each fraction by 9, which will clear the fractions:
9(157/9 + 5/9 - 8 - 10)
157 + 5 - 72 - 90
Step 3: Simplify:
162 - 72 - 90
90 - 90
0
Thus, 17 4/9 + 5/9 - 8 - 10 = 0.