What is 12 8/15 - 7 + 7/15 + 15?
To calculate this, first convert the mixed number into an improper fraction:
12 8/15 = (12 x 15 + 8)/15 = 184/15
Now we can rewrite the expression:
184/15 - 7 + 7/15 + 15
Next, find a common denominator for the fractions. In this case, the least common multiple of 15 and 1 is 15. Rewrite each fraction with the common denominator:
(184/15) - (7/1) + (7/15) + (15/1)
Now, simplify each fraction:
(184/15) - (7/1) + (7/15) + (15/1) = 184/15 - 7 + 7/15 + 15
Next, subtract the fractions:
(184/15) - (7/1) + (7/15) + (15/1) = 184/15 - 105/15 + 7/15 + 225/15
Combine the numerators but keep the common denominator:
184/15 - 105/15 + 7/15 + 225/15 = (184 - 105 + 7 + 225)/15
Simplify the expression:
(184 - 105 + 7 + 225)/15 = 311/15
Therefore, 12 8/15 - 7 + 7/15 + 15 = 311/15.
To solve this expression step-by-step, let's break it down.
Step 1: Simplify the mixed number.
12 8/15 can be written as 12 + 8/15.
Step 2: Add the whole numbers.
12 + 7 + 15 = 34
Step 3: Add the fractions.
8/15 + 7/15 = 15/15 = 1
Step 4: Add the whole number and fraction together.
34 + 1 = 35
So, 12 8/15 - 7 + 7/15 + 15 equals 35.