Calculate the result of the subtraction: \[ \frac{79}{11} - 5 \frac{10}{11} = \]
Choose the correct answer:
A. \[ 3 \frac{7}{13} \]
B. \[ 1 \frac{10}{11} \]
C. \[ 13 \frac{7}{13} \]
D. \[ 13 \frac{11}{13} \]
Answer (1)
To solve the subtraction problem 11 79 − 5 11 10 , we'll follow these steps:
Convert the mixed number to an improper fraction:
The mixed number is 5 11 10 .
To convert it to an improper fraction:
Multiply the whole number (5) by the denominator (11) and add the numerator (10):
5 × 11 + 10 = 55 + 10 = 65
So, 5 11 10 = 11 65 .
Perform the subtraction of fractions with the same denominator:
The problem now is 11 79 − 11 65 = 11 79 − 65 .
Subtract the numerators:
79 − 65 = 14 .
So, 11 79 − 11 65 = 11 14 .
Convert the improper fraction to a mixed number:
Divide 14 by 11:
14 divided by 11 gives a quotient of 1 with a remainder of 3.
The mixed number is 1 11 3 .
Hence, the result of the subtraction 11 79 − 5 11 10 is 1 11 3 .
Upon reviewing the provided multiple-choice options, it seems there is no match with our result. However, the closest looking form with the correct set-up would be an oversight in the given options. The correct result is 1 11 3 , not listed in the options.
