Question #a3315

1 Answer
EZ as pi
Sep 9, 2016

#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)

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