Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you simplify a ratio?

Back

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

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, meaning they can be simplified to the same fraction.

Front

How can you find an equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 28 girls?

Back

There are 21 boys. (3/4 = x/28; x = 3*28/4 = 21)

Front

What is the ratio of 11 to 13 expressed as a fraction?

Back

The ratio of 11 to 13 is expressed as the fraction 11/13.

Front

How do you determine if two ratios are equivalent using cross-multiplication?

Back

Two ratios a/b and c/d are equivalent if a*d = b*c.

Front

What is the relationship between time and distance in ratios?

Back

The relationship can be expressed as a ratio of distance traveled to time taken, which can help determine speed.

Front

If a recipe calls for 2 cups of flour to 3 cups of sugar, what is the equivalent ratio if you use 4 cups of flour?

Back

The equivalent ratio is 6 cups of sugar (2:3 = 4:x; x = 3*4/2 = 6).

Front

What is the ratio of 18 vocab words learned in 2 hours to 27 vocab words learned in 3 hours?

Back

The ratio is equivalent; both simplify to 9:1.