What is 12 8/15 - 7 + 7/15 + 15 ? Simplify your answer. (1 point)
Answers:
21
41 15/15
35
20 15/15
To simplify the expression 12 8/15 - 7 + 7/15 + 15, we first need to convert all the mixed numbers to improper fractions.
12 8/15 = (15 * 12 + 8) / 15 = 160/15
7 = 7/1
7/15 = 7/15
15 = 15/1
Now we can add all the fractions:
160/15 - 7/1 + 7/15 + 15/1
To add fractions, we need to have a common denominator. In this case, the common denominator is 15.
160/15 - 7/1 + 7/15 + 15/1
Now we can rewrite each fraction with the common denominator:
(160 - 7 * 15 + 7 + 15 * 15) / 15
Simplifying further:
(160 - 105 + 7 + 225) / 15
(287 + 232) / 15
519 / 15
So the simplified answer is 34 9/15
To simplify the expression 12 8/15 - 7 + 7/15 + 15, you can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
12 8/15 can be written as (12 * 15 + 8)/15 = 188/15.
Step 2: Add or subtract the fractions.
188/15 - 7 + 7/15 + 15
= (188 - 7) / 15 + 7/15 + 15
= 181/15 + 7/15 + 15
Step 3: Add the fractions.
181/15 + 7/15 = (181 + 7)/15 = 188/15
Step 4: Add the whole numbers.
188/15 + 15 = (188 + 15 * 15) / 15 = 413/15
Step 5: Simplify the answer, if possible.
413/15 cannot be simplified further since the numerator (413) and denominator (15) do not share any common factors other than 1.
Therefore, the simplified answer is 413/15.