Ratios - Guided Practice Quiz

The ratio of 12 boys to 16 girls can be expressed as a fraction by dividing both numbers by their greatest common divisor, which is 4. So, 12/4 = 3 and 16/4 = 4. Therefore, the fraction in simplest form is 3/4.

The ratio 24 out of 60 can be simplified to 2/5 by dividing both the numerator and denominator by their greatest common divisor, which in this case is 12. This simplification gives us the fraction 2/5, which represents the ratio in its simplest form.

The ratio of 36 DVD's out of 84 DVD's can be expressed as a fraction in simplest form as 3/7. This means that for every 7 DVD's, there are 3 DVD's.

The ratio of 50 tiles to 25 tiles can be simplified by dividing both numbers by their greatest common factor, which is 25. Therefore, the simplified fraction is 2/1.

In Mr. Blackwell's class, out of the 24 students, 15 play sports. To express this as a ratio, we need to compare the number of students who play sports to the total number of students. The fraction 15/24 is already in simplest form because 15 and 24 have no common factors other than 1. Therefore, the correct answer is 5/8.

The ratio of 9 inches to 1 yard can be expressed as a fraction by converting both measurements to the same unit. Since there are 36 inches in 1 yard, the ratio can be written as 9/36. This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 9. Therefore, the simplified fraction is 1/4.

To express the ratio of 3 pints to 4 quarts as a fraction in simplest form, we need to convert both units to the same measurement. Since there are 2 pints in a quart, we can convert 3 pints to 3/2 quarts. Therefore, the ratio can be simplified to 3/2 quarts to 4 quarts. Finally, we can simplify this ratio by dividing both the numerator and denominator by 2, resulting in the simplest form of 3/8.

The given ratio is 6 gallons to 3 quarts. To express this ratio as a fraction in simplest form, we need to convert both the gallons and quarts to the same unit of measurement. Since there are 4 quarts in 1 gallon, we can convert the 6 gallons to quarts by multiplying it by 4, which gives us 24 quarts. Therefore, the ratio becomes 24 quarts to 3 quarts. Simplifying this fraction gives us 8/1.

To express the ratio of 2 pounds to 6 ounces as a fraction in simplest form, we need to convert both measurements to the same unit. Since there are 16 ounces in 1 pound, we can convert 2 pounds to 32 ounces. Now, the ratio becomes 32 ounces to 6 ounces. Simplifying this ratio gives us 16/3.