Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b'.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, typically written as a/b = c/d.

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 5 apples to 10 oranges?

Back

1:2

Front

If a:b = 2:3 and b:c = 4:5, what is a:c?

Back

a:c = 8:15

Front

What is the cross-multiplication method in proportions?

Back

In a proportion a/b = c/d, cross-multiplication means multiplying a by d and b by c, leading to ad = bc.

Front

If 3x = 12, what is the value of x?

Back

x = 4

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

2:3

Front

How do you find an unknown in a proportion?

Back

Set up the proportion and use cross-multiplication to solve for the unknown.