Question

What is the product of `1 1/3` and `5/6`?

Answer 1

`10/9`

Explanation:

The word product refers to the answer obtained from multiplication.

Consider just the `1 1/3:" "` this is the same as `3/3+1/3=4/3`

Putting it all together we have:

`4/3xx5/6" "` I am going to use two methods for the next bit.
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`color(blue)("Shortcut method")`

`(cancel(4)^2)/3xx5/(cancel(6)^3) = (2xx5)/(3xx3)=10/9`
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`color(blue)("First principle method")`

`4/3xx5/6" "` is the same as `" "(2xx2)/3xx5/(2xx3)`

This is the same as:

`color(green)((2xxcolor(red)(2)xx5)/(3xxcolor(red)(2)xx3)" "=" "color(red)(2/2)xx(2xx5)/(3xx3)) " "larr" but "2/2=1`

`" "=" "1xx10/9`

`" "=" "10/9`