What is 12 8/15-7+715+15 simplify your 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.
To simplify the expression 12 (8/15) - 7 + 715 + 15, let's perform the operations step by step:
Step 1: Convert the mixed number 8/15 to an improper fraction:
8/15 = (15 * 0 + 8) / 15 = 8/15
Step 2: Multiply 12 by 8/15:
12 * (8/15) = (12 * 8) / 15 = 96/15
Step 3: Reduce the fraction 96/15 to its simplest form:
96/15 = (32 * 3) / (5 * 3) = 32/5
The expression now becomes: 32/5 - 7 + 715 + 15
Step 4: Add the numbers together:
32/5 - 7 + 715 + 15 = (32/5) + 715 + 15
Step 5: Find the common denominator for 32/5 and 715:
The common denominator for 32/5 and 715 is 5.
Step 6: Convert 715 to a fraction:
715 = 715/1
Step 7: Rewrite the expression with a common denominator:
(32/5) + (715/1) + 15 = (32/5) + (715/1) + (15/1)
Step 8: Add the numerators together:
[(32 + (715 * 5) + (15 * 5) ] / 5 = (32 + 3575 + 75) / 5 = 3682/5
The simplified expression is 3682/5.