What is the value of the expression 13(12 4/9)
Responses
A 278 7/9
B 8 1/4
C -278 7/9
D -34 1/4
To determine the value of the expression 13(12 4/9), we first need to convert the mixed number 12 4/9 into an improper fraction.
12 4/9 can be written as (12*9 + 4)/9 = 108/9 + 4/9 = 112/9
Now we can multiply 13 by 112/9.
13(112/9) = 13 * (112/9)
To multiply fractions, we multiply the numerators together and multiply the denominators together:
(13 * 112)/(9 * 1) = 1,456/9
The expression 13(12 4/9) simplifies to 1,456/9.
To express this as a mixed number or whole number, we divide the numerator by the denominator:
1,456 ÷ 9 = 162 r2
The quotient is 162 and the remainder is 2.
Therefore, the value of the expression 13(12 4/9) is 162 2/9.
None of the given options match the simplified answer, so none of the given responses are correct.