Proportions

Front

What is a ratio?

Back

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

Front

How do you write a ratio?

Back

A ratio can be written 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 simplest form of a ratio?

Back

The simplest form of a ratio is when the two numbers are reduced to their smallest whole numbers.

Front

What does it mean to solve a proportion?

Back

Solving a proportion means finding the value of a variable that makes two ratios equal.

Front

If there are 4 apples and 8 oranges, what is the ratio of apples to oranges?

Back

1:2

Front

How do you simplify the ratio 10:5?

Back

Divide both numbers by their greatest common factor, which is 5. The simplified ratio is 2:1.

Front

What is the ratio of 6 yellow LEGOs to 3 red LEGOs?

Back

2:1

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

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How do 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.