Question

a motor racing has a length of 5 5/6 a straight section of a circuit has a length 1 1/4 miles what fraction of the circuit is the straight section ? give your answer in the simplest form

Answer 1

`Fraction = (3)/(14)`

Explanation:

Given:

`Total\ Length = 5(5)/(6)`

`Straight\ Section = 1(1)/(4)`

Required:

Fraction of the circuit that is straight section

To solve this, we simply divide the length of the straight section by the total length of the circuit;

This is done as follows;

`Fraction = 1(1)/(4) / 5(5)/(6)`

Convert both fractions to improper fractions

`Fraction = (5)/(4) / (35)/(6)`

Change division sign (/) to multiplication (*)

`Fraction = (5)/(4) * (6)/(35)`

Combine to form a single fraction

`Fraction = (5*6)/(4*35)`

`Fraction = (30)/(140)`

Divide numerator and denominator by 10

`Fraction = (3)/(14)`

Hence, the fraction of the straight section is;
`Fraction = (3)/(14)`