A motor racing circuit has length 5 5/6 miles. A straight section of the circuit has length of 1 1/4 miles. What fraction of the circuit is the straight section? Give your answer in the simplest form.

what fraction of 4 is 3? 3/4

So, you want (1 1/4) / (5 5/6) = 3/14

To find the fraction of the circuit that the straight section represents, we need to divide the length of the straight section by the total length of the circuit.

First, let's convert the lengths to improper fractions:
The length of the circuit is 5 5/6 miles, which can be converted to an improper fraction as (5 * 6 + 5)/6 = 35/6 miles.
The length of the straight section is 1 1/4 miles, which can be converted to an improper fraction as (1 * 4 + 1)/4 = 5/4 miles.

Now, divide the length of the straight section by the total length of the circuit:
(5/4) ÷ (35/6)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(5/4) × (6/35)

Multiply the numerators together: 5 × 6 = 30
Multiply the denominators together: 4 × 35 = 140

The fraction is 30/140, which can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 10:
(30/10) ÷ (140/10) = 3/14

Therefore, the straight section represents 3/14 of the circuit.

To find the fraction of the circuit that the straight section represents, we need to divide the length of the straight section by the total length of the circuit.

The total length of the circuit is 5 5/6 miles, which can be written as an improper fraction:

5 5/6 = (5 * 6 + 5) / 6 = 35/6

The length of the straight section is 1 1/4 miles, which can be written as an improper fraction:

1 1/4 = (1 * 4 + 1) / 4 = 5/4

Now, we can divide the length of the straight section by the total length of the circuit:

(5/4) / (35/6) = 5/4 * 6/35 = (5 * 6) / (4 * 35) = 30/140

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 10:

30/140 = 3/14

Therefore, the fraction of the circuit that the straight section represents is 3/14.