5.1 - Simplifying Ratios

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 simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

Simplify the ratio 18:24.

Back

3:4

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 a ratio is 12:20, what is its simplest form?

Back

3:5

Front

What does it mean to reduce a fraction to lowest terms?

Back

Reducing a fraction to lowest terms means simplifying it so that the numerator and denominator are as small as possible.

Front

Simplify the fraction 9/18.

Back

1/2

Front

What is the relationship between ratios and fractions?

Back

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

Front

How do you find an equivalent ratio for 5:10?

Back

You can find an equivalent ratio by multiplying or dividing both terms by the same non-zero number. For example, 5:10 is equivalent to 1:2.