What is 12 8/15 ‐ 7 + 7/15 +15? Simplify your answer
To simplify the expression:
12 8/15 - 7 + 7/15 + 15
12 8/15 can be written as an improper fraction, which is (12 * 15 + 8)/15 = 188/15.
Now, we can rewrite the expression:
188/15 - 7 + 7/15 + 15
Adding the fractions, we get a common denominator of 15:
(188 - 7*15 + 7 + 15*15)/15
(188 - 105 + 7 + 225)/15
(82 + 7 + 225)/15
314/15
Therefore, the simplified answer is 314/15.
To simplify the expression 12 8/15 ‐ 7 + 7/15 +15, we first convert the mixed number 12 8/15 to an improper fraction.
To do that, multiply the whole number 12 by the denominator 15 and add the numerator 8 to get the numerator of the improper fraction:
12 * 15 + 8 = 180 + 8 = 188.
So, 12 8/15 is equivalent to the improper fraction 188/15.
Now, let's add all the fractions together:
188/15 ‐ 7 + 7/15 + 15.
To do this, we need to have a common denominator. The common denominator will be 15.
So, let's convert each fraction to have a denominator of 15:
188/15 ‐ 7 * 15/15 + 7/15 + 15 * 15/15.
Now we can simplify:
188/15 ‐ 105/15 + 7/15 + 225/15.
By combining the numerators:
(188 ‐ 105 + 7 + 225)/15.
Simplifying the numerator:
(188 + 7 + 225 ‐ 105)/15.
Performing the addition:
315/15.
And simplifying the resulting fraction:
21.
Therefore, the simplified answer is 21.