Ratio Formula

Ratio formula is a mathematical way to compare two quantities, showing how many times one value contains another. The formula is written as a​/b or a:b, where a and b are the quantities being compared.

Example 1: Calculate the ratio of 150 ml of water to 500 ml of juice.

To calculate the ratio of 150 ml of water to 500 ml of juice, you simply divide the amount of water by the amount of juice:

Ratio = (Amount of Water) / (Amount of Juice)

So, the ratio is:

Ratio = 150 ml / 500 ml

Now, let’s simplify this ratio:

Ratio = 3 / 10

So, the ratio of 150 ml of water to 500 ml of juice is 3:10.

Example 2: A classroom has 12 boys and 8 girls. Find the ratio of boys to girls.

To find the ratio of boys to girls in the classroom, you simply divide the number of boys by the number of girls:

Ratio = (Number of Boys) / (Number of Girls)

Given that there are 12 boys and 8 girls, the ratio is:

Ratio = 12 boys / 8 girls

Now, let’s simplify this ratio:

Ratio = (12 ÷ 4) boys / (8 ÷ 4) girls = 3 boys / 2 girls

So, the ratio of boys to girls in the classroom is 3:2.

How to Calculate Ratios

A ratio is a mathematical expression that compares two or more numbers. It shows the relative sizes or quantities of one value to another. It is expressed in the form of a fraction or with a colon, such as 3:1 or 3/1, indicating that for every unit of the second quantity, there are three units of the first.

In this article, you will get a step-by-step guide on how to calculate ratios.

Table of Content

  • What is a Ratio?
  • Ratio Formula
  • How to Calculate Ratios
  • Common Mistakes to Avoid When Calculating Ratios

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