How Do You Know If Two Ratios are Proportional?

Separating two numbers with a ':' is one way of writing a ratio
Ratios can also be written as fractions by putting the first number on the top and the second number on the bottom
To reduce a fraction, find the greatest common factor (GCF) of the numerator and denominator
The GCF of 48 and 64 is 16
Dividing by a number over itself is the same as dividing by 1, so it doesn't change the value of the fraction
The GCF of 72 and 96 is 24

1. Writing a ratio as a fraction will make it easier to reduce
2. The first number in a ratio goes in the numerator, and the second number goes in the denominator
1. To reduce a fraction, find the greatest common factor (GCF) of the numerator and denominator
1. 'GCF' stands for 'greatest common factor'
2. The fraction 48/64 can be reduced by dividing both the numerator and denominator by 16
3. Dividing by a number over itself is the same as dividing by 1, so it doesn't change the value of the fraction
1. 'GCF' stands for 'greatest common factor'
2. The fraction 72/96 can be reduced by dividing both the numerator and denominator by 24
3. Dividing by a number over itself is the same as dividing by 1, so it doesn't change the value of the fraction
1. Both fractions reduce to 3/4, which means they are equivalent ratios
2. Since they are equivalent, that means that the ratios 48:64 and 72:96 are proportional
1. Each ratio reduced to 3/4, so they are equivalent and proportional!

Determine if the ratios 48:64 and 72:96 are proportional.