Ratios and Proportional Relationships

What is the value of 'a' if the ratio of 60 to 'a' is equivalent to 3 to 2?

• 30

• 40

• 50

• 60

How can you find an equivalent ratio to 3/4?

• Multiply both the numerator and denominator by the same non-zero number, e.g., 3/4 = (3*3)/(4*3) = 9/12.

• Add 1 to both the numerator and denominator, e.g., 3/4 = (3+1)/(4+1) = 4/5.

• Divide both the numerator and denominator by the same non-zero number, e.g., 3/4 = (3/3)/(4/3) = 1/1.33.

• Subtract 1 from both the numerator and denominator, e.g., 3/4 = (3-1)/(4-1) = 2/3.

How do you check if two ratios are equivalent?

• Cross-multiply and see if the products are equal.

• Add the numerators and denominators of both ratios.

• Subtract the smaller ratio from the larger one.

• Multiply both ratios by the same number.

What is the GCD of 35 and 14?

• 5

• 6

• 7

• 8

If a recipe calls for a ratio of 2:3 for sugar to flour, how much sugar is needed for 6 cups of flour?

• 2 cups of sugar

• 4 cups of sugar

• 6 cups of sugar

• 8 cups of sugar

What does it mean if two ratios are proportional?

• They express different relationships.

• Their cross products are equal.

• They are always whole numbers.

• They can be simplified to the same value.

What is a ratio?

• A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

• A ratio is a mathematical expression that represents the difference between two numbers.

• A ratio is a method of calculating the average of a set of numbers.

• A ratio is a graphical representation of data points in a chart.

If the ratio of red paint to yellow paint is 3:5, how much yellow paint is needed for 9 oz of red paint?

• 10 oz of yellow paint

• 12 oz of yellow paint

• 15 oz of yellow paint

• 18 oz of yellow paint

How do you simplify a ratio?

• To simplify a ratio, divide both terms by their greatest common divisor (GCD).

• To simplify a ratio, multiply both terms by their least common multiple (LCM).

• To simplify a ratio, add both terms together.

• To simplify a ratio, subtract the smaller term from the larger term.

How do you express the ratio of 5 to 2 in fraction form?

• 2/5

• 5/2

• 10/4

• 1/2