How to write a ratio in math

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Ratios are a mathematical method used to compare different values. The word “ratio" is utilized in regard to a study or analysis of several data sets, like showing a performance rating of a product or explaining demographics. Fractions and proportions are interwoven with ratios. They both show a contrast of several values. Fractions and proportions can be employed as a way to write a ratio. This is a common theme for students in junior and senior high, as well as if they take math classes in college.

Put down the ratio as a sentence. For instance, if there is a single blue button as well as a red one with 2 blue ones, then you’d write it down as a ratio thusly: " $1$ to $2$ ."

You can also put down a ratio in its simplest appearance by dividing both of the numbers by the ratio’s largest number which can be divided into them evenly. That is called the greatest common factor. For instance, if there are ten blue buttons as well as $20$ red ones, both can be divided by ten and the result is a $1$ to $2$ ratio.

A ration can also be shown using a colon placed in between 2 numbers. For the button example, the ratio of $1$ to $2$ can be shown as $1:2$ .

Redo the ration as a fraction. This first number is called a numerator, and the second one is called a denominator. For this, you’d alter a $1$ to $2$ ratio as a fraction as $\frac{1}{2}$ .

Contrast a ratio via a proportion, in which 2 equal ratios are separated using the equal sign. So, if contrasting a $\frac{1}{2}$ ratio with a $\frac{10}{20}$ ratio, it would be written as $\frac{1}{2} \ = \ \frac{10}{20}$ .

Free printable Worksheets

Exercises for Writing Ratios

1) $25$ cakes out of $35$ cakes $\ \Rightarrow \$

2) $5$ cakes out of $15$ cakes $\ \Rightarrow \$

3) $96$ miles on $6$ gallons of gas $\ \Rightarrow \$

4) $93$ miles on $3$ gallons of gas $\ \Rightarrow \$

5) $114$ miles on $3$ gallons of gas $\ \Rightarrow \$

6) $60$ inches of snow in $15$ hours $\ \Rightarrow \$

7) $66$ inches of snow in $22$ hours $\ \Rightarrow \$

8) $120.00$ dollars for $4$ books $\ \Rightarrow \$

9) $138.00$ dollars for $6$ books $\ \Rightarrow \$

10) $87$ inches of snow in $29$ hours $\ \Rightarrow \$

Answers

$25$ cakes out of

$35$ cakes

$\ \Rightarrow \$

$\color{red}{\frac{5}{7}}$

$5$ cakes out of

$15$ cakes

$\ \Rightarrow \$

$\color{red}{\frac{1}{3}}$

$96$ miles on

$6$ gallons of gas

$\ \Rightarrow \$

$\color{red}{16}$ miles per gallon

$93$ miles on

$3$ gallons of gas

$\ \Rightarrow \$

$\color{red}{31}$ miles per gallon

$114$ miles on

$3$ gallons of gas

$\ \Rightarrow \$

$\color{red}{38}$ miles per gallon

$60$ inches of snow in

$15$ hours

$\ \Rightarrow \$

$\color{red}{4}$ inches of snow per hour

$66$ inches of snow in

$22$ hours

$\ \Rightarrow \$

$\color{red}{3}$ inches of snow per hour

$120.00$ dollars for

$4$ books

$\ \Rightarrow \$

$\color{red}{30.00}$ dollars per book

$138.00$ dollars for

$6$ books

$\ \Rightarrow \$

$\color{red}{23.00}$ dollars per book

10)

$87$ inches of snow in

$29$ hours

$\ \Rightarrow \$

$\color{red}{3}$ inches of snow per hour

How to write a ratio in math