\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
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Ratio
Ratio
Finding Ratios in Whole-Part Relationships
Exercise
What is the ratio of girls to kids?
Answer
There are \(\textcolor{colordef}{2}\) girls.
There are \(\textcolor{colorprop}{3}\) kids.
The ratio of girls to kids is \(\dfrac{\textcolor{colordef}{2}}{\textcolor{colorprop}{3}}\).
Exercise
What is the ratio of girls to kids?
Answer
There are \(\textcolor{colordef}{2}\) girls.
There are \(\textcolor{colorprop}{5}\) kids.
The ratio of girls to kids is \(\dfrac{\textcolor{colordef}{2}}{\textcolor{colorprop}{5}}\).
Exercise
What is the ratio of triangles to shapes?
Answer
There are \(\textcolor{colordef}{3}\) triangles.
There are \(\textcolor{colorprop}{4}\) shapes.
The ratio of triangles to shapes is \(\dfrac{\textcolor{colordef}{3}}{\textcolor{colorprop}{4}}\).
Exercise
What is the ratio of circles to shapes?
Answer
There are \(\textcolor{colordef}{4}\) circles.
There are \(\textcolor{colorprop}{7}\) shapes.
The ratio of circles to shapes is \(\dfrac{\textcolor{colordef}{4}}{\textcolor{colorprop}{7}}\).
Equivalent Ratios
Simplifying Ratios
Exercise
What is the ratio of red apples to all apples (write in simplified form)?
Answer
There are \(\textcolor{colordef}{2}\) red apples.
There are \(\textcolor{colorprop}{4}\) apples in total.
The ratio of red apples to all apples is \(\dfrac{\textcolor{colordef}{2}}{\textcolor{colorprop}{4}}\).
The simplified ratio is \(\dfrac{1}{2}\) (half are red).
Exercise
What is the ratio of red apples to all apples (write in simplified form)?
Answer
There are \(4\) red apples.
There are \(6\) apples in total.
The ratio of red apples to all apples is \(\dfrac{4}{6}\).
The simplified ratio is \(\dfrac{2}{3}\).
Exercise
What is the ratio of red apples to all apples (write in simplified form)?
Answer
There are \(3\) red apples.
There are \(6\) apples in total.
The ratio of red apples to all apples is \(\dfrac{3}{6}\).
The simplified ratio is \(\dfrac{1}{2}\) (half are red).
Exercise
What is the ratio of red apples to all apples (write in simplified form)?
Answer
There are \(3\) red apples.
There are \(9\) apples in total.
The ratio of red apples to all apples is \(\dfrac{3}{9}\).
The simplified ratio is \(\dfrac{1}{3}\).
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