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 express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

Front

What is the ratio of red toy cars to all toy cars if there are 3 red, 2 black, and 5 white toy cars?

Back

The ratio of red toy cars to all toy cars is 3:10.

Front

How do you simplify a ratio?

Back

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

Front

What is the ratio of triangles to squares if there are 4 triangles and 3 squares?

Back

The ratio of triangles to squares is 4:3.

Front

If the ratio of A to B is 2:5, what is the value of B if A = 4?

Back

If A = 4, then B = 10.

Front

What does it mean if two ratios are 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 do you find an unknown in a proportion?

Back

To find an unknown in a proportion, cross-multiply and solve for the unknown.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one fraction by the denominator of the other fraction to find an unknown.

Front

If 4/7 = 7/x, how do you solve for x?

Back

Cross-multiply to get 4x = 49, then divide by 4 to find x = 12.25.