Eight out of 30 passengers are tourists. Write the ratio of tourists to ratio in fraction from and express it in simplest form
The correct answer and explanation is:
The ratio of tourists to total passengers can be written as a fraction: 830\frac{8}{30}
To express this ratio in its simplest form, we need to find the greatest common divisor (GCD) of 8 and 30. The GCD is the largest number that divides both 8 and 30 without leaving a remainder. We can find the GCD by listing the factors of each number:
- The factors of 8 are 1, 2, 4, and 8.
- The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
The greatest common divisor of 8 and 30 is 2, because 2 is the largest number that appears in both lists of factors.
Now, divide both the numerator (8) and the denominator (30) by 2: 8÷230÷2=415\frac{8 \div 2}{30 \div 2} = \frac{4}{15}
So, the ratio of tourists to total passengers in simplest form is 4:15.
Explanation:
A ratio is a way of comparing two quantities. In this case, the two quantities being compared are the number of tourists (8) and the total number of passengers (30). When we write a ratio as a fraction, it shows how many tourists there are for every 30 passengers. However, ratios are often simplified to make them easier to understand. By dividing both the numerator and denominator by their GCD, we reduce the fraction to its simplest form, which helps in representing the ratio more clearly.
Thus, the simplest form of the ratio of tourists to total passengers is 4:15.