Ratios and Proportional Relationships

Front

What is a ratio?

Back

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

Front

How do you simplify a ratio?

Back

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

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different.

Front

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

Back

15 oz of yellow paint.

Front

What is the formula to find a missing value in a proportional relationship?

Back

If a/b = c/d, then ad = bc.

Front

What does it mean if two ratios are proportional?

Back

Two ratios are proportional if they express the same relationship, meaning their cross products are equal.

Front

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

Back

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

Front

What is the GCD of 35 and 14?

Back

The GCD of 35 and 14 is 7.

Front

If Hilbert burns 120 calories in 30 minutes, how many calories does he burn in 10 minutes?

Back

40 calories.

Front

What is the first step to solve for a missing value in a table of ratios?

Back

Identify the known ratios and set up a proportion.