Answer: 39/2 or 19 1/2
Explanation:
Convert a mixed number 2 1/6 to a improper fraction:
2 1/6 = 2 1/6 = 2 · 6 + 1/6 = 12 + 1/6 = 13/6
To find a new numerator:
1. Multiply the whole number 2 by the denominator 6. Whole number 2 equally 2 * 6/6 = 12/6
2. Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13
3. Write a previous answer (new numerator 13) over the denominator 6.
Two and one sixth is thirteen sixths
Multiply: 9 * 13/6 = 9 · 13/1 · 6 = 117/6 = 39 · 3/2 · 3 = 39/2
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(117, 6) = 3. In the following intermediate step, cancel by a common factor of 3 gives 39/2.
In other words - nine multiplied by thirteen sixths is thirty-nine halves.