write ratios in different ways

Write the ratio of circles to squares as a whole number, in fraction form, and in words.

Order is important.
Count the circles and then the squares.

Whole Number

Divide the number of circles by the number of squares.

ratio as a whole number: $$\small\mathtt{\div}$$ =

Fraction Form

Write the number of circles in the numerator. Write the number of squares in the denominator.

ratio in fraction form: $$\frac{\FormInput[][math_wrap][]{partial9_wrap}\FormInput{partial9}}{\FormInput[][math_wrap][]{partial5_wrap}\FormInput{partial5}}$$

In Words

"For every circles, there are squares."

"There are times as many circles as squares."

write ratios less than 1

Write the ratio of triangles to circles.

Fraction Form

Count the triangles and then the circles. Write the number of triangles in the numerator. Write the number of circles in the denominator. Then write the ratio in simplest form.

ratio of triangles to circles: $$\frac{\FormInput[][math_wrap][]{partial10_wrap}\FormInput{partial10}}{\FormInput[][math_wrap][]{partial11_wrap}\FormInput{partial11}}$$
ratio in simplest form: $$\frac{\FormInput[][math_wrap][]{partial30_wrap}\FormInput{partial30}}{\FormInput[][math_wrap][]{partial31_wrap}\FormInput{partial31}}$$

In Words

"For every triangles, there are circles."

"There are two thirds as many
as there are ."

write different ratios to compare the same quantities

Write the ratio of triangles to circles and circles to triangles. Remember: order is important.

To write the ratio of triangles to circles, write the number of triangles in the numerator and the number of circles in the denominator. Then simplify.

triangles to circles: $$\frac{\FormInput[][math_wrap][]{partial1_wrap}\FormInput{partial1}}{\FormInput[][math_wrap][]{partial2_wrap}\FormInput{partial2}} = \frac{\FormInput[][math_wrap][]{partial3_wrap}\FormInput{partial3}}{\FormInput[][math_wrap][]{partial4_wrap}\FormInput{partial4}}$$

To write the ratio of circles to triangles, write the number of circles in the numerator and the number of triangles in the denominator. Then simplify.

circles to triangles: $$\frac{\FormInput[][math_wrap][]{partial40_wrap}\FormInput{partial40}}{\FormInput[][math_wrap][]{partial41_wrap}\FormInput{partial41}}$$ =

model ratios

Click or tap to create a model that matches each ratio.
Use the orange and green squares to change color.

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