## 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 \(2\) ration.

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 \(\frac{1}{2}\) ration with a \(\frac{10}{20}\) ration, it would be written as \(\frac{1}{2} \ = \ \frac{10}{20}\).

### 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 \( \ \Rightarrow \ \)