Subtract the fraction 7 4/5 from the fraction 18 6/15 and reduce your answer to lowest
terms.
A. 11 9/15 C. 10 12/15
B. 11 1/5 D. 10 3/5
D is this correct?
yes
To subtract the fractions 7 4/5 from 18 6/15 and reduce the answer to the lowest terms, follow these steps:
1. Convert the mixed numbers to improper fractions:
18 6/15 = (18 * 15 + 6)/15 = 276/15
7 4/5 = (7 * 5 + 4)/5 = 39/5
2. Subtract the fractions:
276/15 - 39/5 = (276 * 5 - 39 * 15)/(15 * 5) = 1380/15 - 585/15 = (1380 - 585)/15 = 795/15
3. Simplify the result to the lowest terms:
Find the greatest common divisor (GCD) of 795 and 15, which is 15.
Dividing both the numerator and the denominator by 15:
795/15 = (795 ÷ 15)/(15 ÷ 15) = 53/1
Therefore, the answer is 53.
Now, we need to convert the improper fraction 53/1 back to a mixed number:
Since the numerator, 53, is greater than the denominator, 1, we can get the whole number by dividing them:
53 ÷ 1 = 53
So, the mixed number is 53 0/1.
To summarize, the subtraction of the fractions 7 4/5 from 18 6/15, reduced to the lowest terms, is equal to 53.
The correct answer is not provided in the options (A. 11 9/15, B. 11 1/5, C. 10 12/15, D. 10 3/5).