convert 11 1/3 times 5 into a mixed fraction

1 answer

To convert 11 1/3 times 5 into a mixed fraction, we need to first convert the whole number (11) and the fraction (1/3) into an improper fraction.

To convert the whole number, we multiply it by the denominator of the fraction and add the numerator.
11 * 3 = 33

To convert the fraction, we multiply the whole number (1) by the denominator and add the numerator.
1 * 3 = 3

Now we have an improper fraction:
33 3/3

Next, we multiply the improper fraction by 5.
33 3/3 * 5 = (33 * 5) + (3/3 * 5) = 165 + 15/3

To simplify, we can divide 15 by 3:
15/3 = 5

So, the final result is:
165 + 5 = 170

Therefore, 11 1/3 times 5 can be written as the mixed fraction 170.