Ratio Formula - Examples | Ratio Calculations | How to Find Ratio? (2024)

Calculating ratios is an important part of Maths. We use the ratio formula while comparing the relationship between two numbers or quantities. Ratio is defined as the relation between the quantities of two or more objects and it indicates the amount of one object contained in the other. The general form of representing a ratio of two quantities say, a and b, is

a : b

where,

  • a = Antecedent
  • b = Consequent

Let us understand the ratio formula, and how to find the ratio between numbers, in detail in the following sections.

What is the Ratio Formula?

The ratio is the relation between the quantities of two or more objects, indicating the amount of one object contained in the other. A ratio can be represented in the form of a fraction using the ratio formula. The ratio formula for any two quantities say, a and b, is given as,

a:b = a/b

Ratio Formula - Examples | Ratio Calculations | How to Find Ratio? (1)

Since a and b are individual amounts for two quantities, the total quantity combined is given as (a + b). Let us understand the ratio formula better using a few solved examples and see how to calculate ratio of 2 numbers.

Cuemath is one of the world's leading math learning platforms that offers LIVE 1-to-1 online math classes for grades K-12. Our mission is to transform the way children learn math, to help them excel in school and competitive exams. Our expert tutors conduct 2 or more live classes per week, at a pace that matches the child's learning needs.

Ratio Formula - Examples | Ratio Calculations | How to Find Ratio? (2)

Want to find complex math solutions within seconds?

Use our free online calculator to solve challenging questions. With Cuemath, find solutions in simple and easy steps.

Book a Free Trial Class

Examples on Ratio Formula

Example 1: In a class of 70 students, 43 are girls and the remaining are boys. Using the ratio formula, find the ratio of the total number of boys to the number of girls.

Solution:

To find: Ratio of the number of boys to the number of girls
Given:
Total number of students = 70
Number of girls = 43
Number of boys = Total number of students - Number of girls
= 27
Using ratio formula,
The ratio of number of boys to the number of girls = Number of boys: Number of girls = 27:43

Answer: Ratio of the number of boys to the number of girls = 27:43

Example 2: The ratio of x and y is 6:5. If x = 78, what is the value of y?

Solution:&

To find: Value of x
Given: Ratio of x to y = 6:5
Using ratio formula,
x:y = 6:5
x/y = 6/5
78/y = 6/5
y = (5/6) × 78
y = 65

Answer: Value of y = 65

Example 3: Find the simplest form of 80:75 using the ratio formula.

Solution:

The GCF of 80 and 75 is 5.
We divide each term in the ratio by 5.
We get 80/5:75/5 = 16:15.

Answer: Thus, the ratio of 80:75 in the simplest form is 16:15.

FAQs on Ratio Formula

How to Calculate Ratio Using Ratio Formula?

Follow the steps mentioned below to calculate the ratio of two quantities using the ratio formula:

  • Find the quantities of objects.
  • Write it in the form p:q = p/q.
  • The sum of 'p' and 'q' would give the total quantities for the two objects.
  • Simplify the ratios of the objects further, if possible.
  • The simplified form of the ratio is the final result.

What are the Ways of Writing a Ratio Formula?

A ratio formula can be written by using two ways:

  • By separating the two quantities using a colon (:)
  • By writing it in the fractional form.

For example, if there are 2 apples and 8 melons, then the ratio of apples to melons can be written as 2:8 or 2/8, which can be further simplified as 1:4.

What is Meant By Ratio Formula?

The ratio formula is used to establish a relationship between two or more given quantities. The general form of representing a ratio of two quantities say a and b is a : b, where, a is antecedent and b is consequent.

How to Find the Simplest Form of Ratio Using Ratio Formula?

The simplest form of a ratio can be calculated by expressing the ratio in the form of a fraction and further simplifying the fraction. This simplified fraction can again be written as a ratio using the ratio formula.

How to Find the Ratio of Two Numbers?

The ratio of two numbers can be calculated using the ratio formula, p:q = p/q. Let us find the ratio of 81 and 108 using the ratio formula.

  • We will first write the numbers in the form of p:q = p/q. Here 81: 108 = 81/ 108.
  • Now, we will simplify the fraction 81/108. We know that the GCF of 81 and 108 is 27 so we will divide both the numbers by 27 and we will get 3/4.
  • This can be written as 3:4. Therefore, the ratio of 81 and 108 is 3:4

What is the Formula for Calculating Ratios?

The formula for calculating ratios is p:q = p/q and the steps for finding the ratio of 2 numbers are given as follows.

  • First, we write the given numbers in the fractional form. For example, p and q is written as p/q
  • Then, we reduce it to the lowest terms.
  • Then we separate the two quantities using a colon (:). This means p:q = p/q
Ratio Formula -  Examples | Ratio Calculations | How to Find Ratio? (2024)

FAQs

Ratio Formula - Examples | Ratio Calculations | How to Find Ratio? ›

If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10. Solve the equation. Divide data A by data B to find your ratio.

What is the formula for finding the ratio? ›

How to Find the Ratio of Two Numbers? The ratio of two numbers can be calculated using the ratio formula, p:q = p/q.

How do you calculate value ratio? ›

The formula that a loan to value ratio calculator uses to compute your loan's LTV ratio is: LTV= principal amount/ market value of your property.

How do I calculate my ratio? ›

Since ratios compare data between two numbers of the same kind, this means your formula would be A divided by B. For instance, if A equals 5 and B equals 10, then your ratio will be 5 divided by 10. Now, you're ready to solve the equation. Divide A by B to find a ratio. In this case, the answer is 0.5.

How to calculate ratio in simplest form? ›

Like fractions, ratios can often be simplified. To simplify a ratio, divide all parts of the ratio by their highest common factor. For example, the highest common factor of both parts of the ratio 4:2 is 2 , so 4:2=2:1 4 : 2 = 2 : 1 .

How do you calculate step ratio? ›

So to calculate the number of treads (steps) you will need, we simply take the height to deck measurement and then divide this figure by 175 (rise height).

What is a ratio equation? ›

Definitions: A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls)

How to calculate ratio and proportion? ›

What is the Formula of Ratio and Proportion? The ratio formula for any two quantities is expressed as a : b ⇒ a/b. On the other hand, the proportion formula is expressed as a:b::c:d⟶ab=cd a : b :: c : d ⟶ a b = c d .

How to calculate scale ratio? ›

To find the scale factor, first find the corresponding sides on the two figures. Then, divide the measurement of the new figure by the measurement of the original figure. The resulting value is your scale factor, or how many times larger or smaller your new figure is compared to the original.

How do you find the common ratio on a calculator? ›

Hint: Assuming the terms are nonzero, we can find the common ratio $r$on a calculator by taking any two consecutive terms and dividing the later one by the earlier one.

What's the ratio for formula? ›

Add unpacked, level scoop(s) of powder formula to the bottle as directed (1 scoop of formula per 2 fl oz of water).

How to find ratio in simplest form? ›

Like fractions, ratios can often be simplified. To simplify a ratio, divide all parts of the ratio by their highest common factor. For example, the highest common factor of both parts of the ratio 4:2 is 2 , so 4:2=2:1 4 : 2 = 2 : 1 .

What is the ratio of 3 to 5? ›

When expressed as a fraction, it is indeed "3/5," which means three out of every five parts. To clarify, if you have a group of eight items and you want to express the ratio of three of those items to five of the others, it would be "3:5." When converted to a fraction, you're looking at "3/5" of the entire group.

Top Articles
Latest Posts
Article information

Author: Rueben Jacobs

Last Updated:

Views: 6524

Rating: 4.7 / 5 (57 voted)

Reviews: 80% of readers found this page helpful

Author information

Name: Rueben Jacobs

Birthday: 1999-03-14

Address: 951 Caterina Walk, Schambergerside, CA 67667-0896

Phone: +6881806848632

Job: Internal Education Planner

Hobby: Candle making, Cabaret, Poi, Gambling, Rock climbing, Wood carving, Computer programming

Introduction: My name is Rueben Jacobs, I am a cooperative, beautiful, kind, comfortable, glamorous, open, magnificent person who loves writing and wants to share my knowledge and understanding with you.