What is 12 8/15-7+715+15 simplify your answer

1 answer

To simplify the expression 12 8/15 - 7 + 715 + 15, we first convert the mixed number 12 8/15 to an improper fraction:

12 8/15 = (12 * 15 + 8)/15 = 188/15

Now we can compute the expression:

188/15 - 7 + 715 + 15 = 188/15 - 7 + 715/1 + 15/1

To combine the fractions, we need to find a common denominator. The least common multiple of 15, 1, and 1 is 15. Therefore, we rewrite the fractions with a denominator of 15:

188/15 - 7 + 715/1 + 15/1 = (188 * 1)/15 - (7 * 15)/15 + (715 * 15)/15 + (15 * 15)/15
= 188/15 - 105/15 + 10725/15 + 225/15

Now that we have a common denominator, we can combine the fractions:

188/15 - 105/15 + 10725/15 + 225/15 = (188 - 105 + 10725 + 225)/15
= 19833/15

Finally, we can simplify the fraction by finding the greatest common divisor of the numerator and the denominator, which is 3:

19833/15 = 6611/5

Therefore, the simplified answer is 6611/5.