The ratio of cars to people in Australia is 350 to 1000. Write this ratio as a fraction in simplest form.

The Answer to question is 7 to 20

To write the given ratio of cars to people in Australia as a fraction in simplest form, we need to express it as the ratio of two whole numbers.

The given ratio is 350 to 1000, which means there are 350 cars for every 1000 people.

To simplify this ratio, we need to find the greatest common divisor (GCD) of 350 and 1000.

The prime factors of 350 are 2 * 5^2 * 7, and the prime factors of 1000 are 2^3 * 5^3.

From these prime factors, we can see that the GCD of 350 and 1000 is 2 * 5^2, which is 50.

Dividing both 350 and 1000 by their GCD, we get:

350 ÷ 50 = 7
1000 ÷ 50 = 20

Therefore, the simplified ratio is 7 to 20.

Converting this ratio to a fraction, we have 7/20, which is the ratio of cars to people in Australia in simplest form.