Question

Question #a3315

Answer 1

`3/10`

Explanation:

The only thing that is a bit confusing in this question is that we have to make a fraction using values that are already fractions.
If it had been a 1 mile straight section of a 4 mile circuit we would have been happy to give the fraction as `1/4`

The fraction will be `(1 3/4)/(5 5/6)` But now to simplify that...

Method 1 `color(white)(xxxxxxxxxxxxxxxxxx)` Method 2

`1 3/4 div 5 5/6` `color(white)(xxxxxxxxxxxx)` note that `(a/b)/(c/d) = (ad)/(bc)`

=`7/4 div35/6` `color(white)(xxxxxxxxxxxxxxxxxx) (7/4)/(35/6) = (7xx6)/(4xx35)`

=`cancel7/cancel4^2 xx cancel6^3/cancel35^5color(white)(xxxxxxxxxxxxxx)=cancel7/cancel4^2 xx cancel6^3/cancel35^5`

=`3/10color(white)(xxxxxxxxxxxxxxxxxxxx) = 3/10`

(This is the same as saying that 30% of the circuit is straight)