Question

What is 2 and 1/2 x 6 and 2/3

Answer 1

Step-by-step explanation:

When multiplying mixed numbers like 2 1/2 and 6 2/3, the easiest thing to do would be to convert each mixed number to an improper fraction first.

To do that, we simply multiply the whole number to its denominator and add the result to the numerator. Copy the denominator.

For example, for 6 2/3, multiply 6 and 3 and we get 18. Add 18 to the numerator 2 and we get 20. Therefore, its improper fraction is 20/3.

So, 2 1/2 times 6 2/3 can also be written as:

`(5)/(2)*(20)/(3)`

To multiply the fractions, simply multiply the numerator to the numerator and the denominator to the other denominator.

`(5*20)/(2*3)=(100)/(6)`

Then, simplify the answer by dividing the numerator and denominator by its greatest common denominator or GCD.

`(100/2)/(6/2)=(50)/(3)`

Lastly, convert the result back to a mixed number.

`(50)/(3)\Rightarrow16(2)/(3)`

Answer:

The product of the two mixed numbers 2 1/2 and 6 2/3 is 16 2/3.