What is 12 8/15 − 7 + 7/15 + 15? Simplify your answer.
A. 20 15/15
B. 41 15/15
21
35
The simplified answer is 21.
12 - 7 + 15 + (8+7)/ 15
5 + 15 + 1
yes 21
Correct. The simplified answer is 21.
To simplify the expression 12 8/15 − 7 + 7/15 + 15, we can follow these steps:
Step 1: Convert the whole number to fractions:
12 = 12/1
Step 2: Find a common denominator for the fractions involved:
The denominators in this expression are 15 and 1. The lowest common multiple (LCM) of 15 and 1 is 15.
Step 3: Convert all fractions to have the same denominator:
12 8/15 becomes (12 * 15 + 8)/15 = 184/15
7/15 remains the same.
Step 4: Perform the addition and subtraction operations:
(184/15) - 7 + (7/15) + 15 = (184/15) + (7/15) + (15 * 15/15) = (184 + 7 + 225)/15 = 416/15
Step 5: Simplify the fraction:
416/15 can be simplified to 27 11/15.
So, the simplified answer is 27 11/15.