# How to do ratio calculation

Understanding and working with ratios is an important skill in both mathematics and everyday life. Ratios are a way of comparing two or more quantities, which could be anything from measurements and proportions to financial figures. In this article, we will discuss what a ratio is, how to calculate ratios, and provide some practical examples that you can use to enhance your understanding of ratio calculations.

**1.What is a Ratio?**

A ratio is a comparison between two or more quantities. It shows the relative size of one quantity in relation to another. In its simplest form, a ratio is expressed as a fraction – for example, 3:4 (read as “3 to 4”) represents the relationship between the two numbers.

**2.How to Calculate Ratios**

To calculate a ratio between two or more quantities, follow these steps:

**Step 1: Determine the quantities being compared**

Identify the two or more amounts that you are trying to compare in the problem or scenario at hand.

**Step 2: Write the ratio**

Write the ratio by placing a colon (:) between the numbers, with the first quantity on the left and the second quantity on the right. For example, if you are comparing 5 apples and 3 oranges, write it as 5:3.

**Step 3: Simplify the ratio (if necessary)**

Simplify the given ratio by dividing both numbers by their greatest common divisor (GCD). This will result in an equivalent ratio with smaller whole numbers.

For instance, consider a ratio of 16:24. The GCD of these numbers is 8, so divide both sides by 8:

16 ÷ 8 = 2

24 ÷ 8 = 3

The simplified ratio becomes 2:3.

**3.Practical Examples**

Let’s look at some real-life instances where you may need to perform ratio calculations:

Example 1: Mixing Paint

If a paint color requires a mixture of 3 parts red paint and 5 parts blue paint, what proportion of each color should you use to create the desired hue?

Write the ratio as 3:5, meaning you need to mix three units of red with five units of blue. The units can be any measurement – teaspoons, cups, or even cans – as long as they remain consistent.

Example 2: Financial Ratios

A company has revenues of $500,000 and expenses of $300,000. Calculate the ratio between revenues and expenses.

Express the ratio as 500,000:300,000. Simplify by dividing both sides by their GCD (in this case, 100,000):

500,000 ÷ 100,000 = 5

300,000 ÷ 100,000 = 3

The simplified ratio is 5:3, which indicates that for every $5 earned in revenue, the company spends $3 on expenses.

In conclusion, understanding ratios and knowing how to calculate them is crucial in mathematics and various real-world scenarios. Practice calculating ratios in different contexts to become proficient in working with this vital mathematical tool.