What is 12 8/15 - 7 + 7/15 + 15?

1 answer

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.