While studying mathematics, there are many topics that you love doing, while there are many that you dislike. Doing mathematics lands you in a heap of doubts that you need a teacher to help you every time you’re up to with one. Our team of experts is available to assist you 24*7. Although you can get help with various topics of mathematics, this guide focuses on how to solve ratios in mathematics. Now, what are these ratios?
What are Mathematical Ratios?
Ratios are mathematical terms that have the purpose of comparing the size of a number. These terms come to a task when we have to compare two or more than two numerals in mathematics, quantitative numbers, amounts, or portions of numbers of the larger number. If solving ratios is tricky for you as well, this article will help you understand the various concepts of ratios and methods on how to solve ratios.
Here are some examples where you see ratios in your everyday life:-
- While converting money from one form to another like Dollar to Euros, mathematical ratios work
- For the calculations of any bet winnings
- To determine the number of drinks required for the party
- For the calculation of taxes to be paid for your income
Basic Concepts of Ratios
To better learn how to solve ratios, one should first have a good understanding of the basic concepts. Mathematics is not like mugging up important historical events and writing in the exams; it rather demands a lot of practice and methodologies to get the final answer. So, to solve any questions in ratios, the first task is to clear the concept. So, here are a few pointers that’ll clear the basic concepts of ratios for you.
- Data analysts make use of ratios for the analyzation of the data in the comparative form
- Ratios can compare more than 2, i.e., 3 or 4 numbers at a time
- The ratios state the relation of two or more number with each other
A basic example:-
In a class of 30 students, there are 20 boys and ten girls. So, to show a relation between the two, you can use the ratio form as 20:10.
Ways of Presenting Ratio in Mathematics
Now, there are many ways of representing ratios in mathematics. Here are a few ways:
Scaling a Ratio
The ratios are usable in a way that enables us to scale amounts. That is, to increase or decrease the amount of an entity. That is, the numbers are convertible to much smaller representations of their original form. For scaling up, multiply both parts of the ratio by the same number.
Reducing a ratio
Reducing a ration refers to its conversion to the simplest form. In this method, you have to divide both the numbers in a ratio by the largest numbers that they both can get divided by. So, it is the reduction of a ratio to its simplest form.
Steps to Solve Ratios in Mathematics
Now that you have a basic understanding of ratios and how they’re used, here are three steps to follow for solving any ratio.
Step 1# Write the Value for Comparison
In the first step, your task is to write the values for the comparison using values such as using a colon, or through division sign, or writing isto.
For example:
To find out the ratio of your maths and physics marks, that is, 90 and 70 then you have to write 90 isto 70 or 90:70 or 90/70
Step 2# Reduce the Values Into Simplest Form
In the second step, reduce the values in their simplest way. For this step, you can take common factors from the numbers, and divide both of them to get the numbers in their simplest form.
For example:
In ratio 50:60, the first task is to find out the common factors between the terms of ratios. Take ten as the common factor, divide both the numbers by ten and get the simplest form which is 50/10:60/10 = 5:6.
Common Mistakes in Reading Ratios
While dealing with the ratios, there are some mistakes that you, too, can encounter while reading it. Here are some common mistakes that you should avoid too:
- Read a ratio the right way
For example 2 pink to 6 red = 2:6 not 6:2
- Read the wordings
For example, a group of students has two girls and five boys. So, the ration of boys in the group should be = 5:7 (2+5) instead of 5:2 or 2:5
- Do the conversion first
For example, if you have a ratio with 200 g of things to 1 kg of a thing, then your first task should be to convert the quantities of the two.
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