What is 12 8/15-7+7/15+15 simplify your answer
To simplify the expression 12 8/15 - 7 + 7/15 + 15, we need to convert the mixed number 12 8/15 into an improper fraction.
First, we multiply the whole number 12 by the denominator of the fraction, which is 15:
12 * 15 = 180
Then, we add the numerator 8 to the product:
180 + 8 = 188
Now, we put the obtained sum over the denominator 15:
188/15
The expression becomes:
188/15 - 7 + 7/15 + 15
To add or subtract fractions, we need to find a common denominator. In this case, the least common denominator (LCD) is 15.
Now, let's convert each fraction to have this common denominator:
188/15 - 7/1 + 7/15 + 15/1
Next, we can add or subtract the numerators:
(188 - 7) / 15 + (7 + 15) / 15
Simplifying further:
181/15 + 22/15
Finally, we can combine the fractions:
(181 + 22) / 15
Therfore, the simplified answer is:
203/15
To simplify the expression 12 8/15 - 7 + 7/15 + 15, follow these steps:
Step 1: Convert the mixed number 12 8/15 into an improper fraction.
12 8/15 = (12 * 15 + 8) / 15 = 188/15
Step 2: Add the fractions.
188/15 + 7/15 + 15 = (188 + 7 + 225) / 15 = 420/15
Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 15.
420/15 = (420 ÷ 15) / (15 ÷ 15) = 28/1 = 28
Therefore, the simplified expression is equal to 28.