Question

A motor racing circuit has length 5 5/6 miles

A straight section of the circuit has length 1 1/4 miles
What fraction of the section is the straight section
Give your answer in it's simplest form

Answer 1

The length of the straight section of the circuit is 1 1/4 miles, which can also be written as a mixed fraction of 6/4 miles.

To find the fraction that the straight section represents of the entire circuit, we can divide the length of the straight section by the length of the entire circuit:

Fraction = Length of Straight Section / Length of Entire Circuit

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

We can convert the mixed fraction of the entire circuit into an improper fraction to make it easier to divide:

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

Now, we can divide the numerator by the denominator by multiplying by the reciprocal of the second fraction:

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

Fraction = 36/140

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 4:

Fraction = (36/4) / (140/4)

Fraction = 9/35

Therefore, the fraction that the straight section represents of the entire circuit is 9/35