Subtract fractions and decimals QuickChek what is 12 8/15-7+7/15+15 simplify your answer
To subtract the fractions and decimals:
12 8/15 - 7 + 7/15 + 15
First, let's convert the mixed number 12 8/15 to a improper fraction:
12 8/15 = (12 * 15 + 8) / 15 = 188/15
Now, let's add all the fractions and decimals together:
188/15 - 7 + 7/15 + 15 = (188 - (7 * 15) + 7 + (15 * 15))/15
188 - (7 * 15) = 188 - 105 = 83
(83 + 7 + (15 * 15))/15 = (83 + 7 + 225)/15 = 315/15
Lastly, simplify the fraction:
315/15 = 21/1 = 21
Therefore, the simplified answer is 21.
To subtract fractions, follow these steps:
1. Find a common denominator. In this case, the common denominator is 15 because both fractions have denominators of 15.
2. Convert the mixed number into an improper fraction. Therefore, 12 8/15 becomes 192/15.
3. Subtract the fractions, remembering to subtract the numerators and keep the common denominator. Thus, 192/15 - 7/15 = (192 - 7)/15 = 185/15.
4. Simplify the fraction. Both 185 and 15 can be divided by 5, so the simplified answer is 37/3.
To add the decimals, follow these steps:
1. Add the decimals together. 7 + 7/15 = 7.466.
2. Add the result from the previous step to the previous fraction. 37/3 + 7.466 = 55.466.
Therefore, the simplified answer to 12 8/15 - 7 + 7/15 + 15 is 55.466.