Students, who are looking for learning ways on how to convert fractional ratios into whole-number ratios can find them all here? Then, look no further as we have listed the easy way to convert the fractional ratio to the whole ratio in a detailed way here. Conversion of Fractional ratio to Whole Number Ratio means you wish to present the fractional ratios as exact whole number ratios.
Before going deep into the concept, you need to understand the concept of whole number ratio and fractional ratio first. Refer to the entire article to know about the procedure on how to convert a fractional ratio to a whole number ratio along with solved examples. 6th Grade Math Students can Practice these questions on converting fractional ratio to a whole number ratio and improve your math skills.
Also, Refer:
Fractional Ratio – Definition
The fractional ratio is defined as when we write a Ratios as fractions, first add the total parts in the ratio and then find the denominators and write each part of the ratio as the individual numerators. When we write ratios as fractions, the number of fractions that are formed is the same as the number of parts in the ratio.
What is Whole Number Ratio?
The Whole Number Ratio is when both the numerator and denominator are natural numbers of any size but are coprime that is they share no common factors, hence the ratio is simple. In simple the whole number ratio implies that the ratio of the elements in a compound is a whole number which is the ratio of elements bearing a whole number.
For example in CH4, C and H are combined in a simple way. The whole number ratio of that is1:4. Here are some examples of a simple whole-number ratio 2:3, 23:44,1:1.
Here are some examples that are not the whole number ratio is 12:16 (this isn’t simplified fully – you can still divide both sides by 4 ), 2–√:5 (the numerator then is not a natural number), 2:1.1 (where the denominator is not a natural number).
How to Convert Fractional Ratio to Whole Number Ratio?
The following are the steps to convert fractional ratio into whole number ratio. The steps are:
- First, find the least common factor (L.C.M) of the denominators.
- Next, multiply each term of the ratio by this least common multiple(L.C.M).
- Now, simplify it.
Converting Fractional Ratios to Whole Number Ratios Examples
Problem 1:
What is the whole number ratio of the fractional ratio value is 1/3 : 1/5: 1/8?
Solution:
As given in the question, the fractional ratio is 1/3: 1/5: 1/8.
Now, we need to find out the given ratio into the whole number ratio.
First, we can rewrite the given ratio as 1/3 ÷1/5÷1/8
Now, multiply it. We get,
1/3 *5/1 *8/1= 40:3
Therefore, the whole number ratio is 40:3.
Problem 2:
Convert the fractional ratio 1/5:1/3 into the whole number ratio or the ratio in its simplest form?
Solution:
In the given question, the fractional ratio is 1/5: 1/3.
Now, to convert the fractional ratio into the whole number ratio, we need to follow the steps given below:
(i) First, Find the least common multiple (L. C. M.) of the denominators.
So, the Denominators are 5 and 3 and the LCM of denominators is 5×3 = 15.
(ii) Next, Multiply each term of the ratio by the least common multiple (L. C. M.) that is,
(1/5)×15: (1/3)×15
(iii) Now, simplify it. So the value is 15/5:15/3 = 3: 5.
Hence, the whole number ratio or ratio in simplest form is 3:5.
Problem 3:
What is the whole number ratio of 4/2: 8/3?
Solution:
Given in the question, the fractional value is 4/2:8/3.
Now, to convert the fractional ratio into the whole number ratio, we need to follow the steps given below:
(i) First, Find the least common multiple (L. C. M.) of the denominators.
So, the Denominators are 2 and 3 and the LCM of the denominators is 2×3 = 6.
(ii) Next, Multiply each term of the ratio by the least common multiple (L. C. M.) that is,
(4/2)×6: (8/3)×6
(iii) Now, simplify it. So the value is 24/2:48/3Â = 12: 16.
Thus, the whole number ratio or the ratio in simplest form is 12:16.
Problem 4:
How to Convert the fractional ratio into the whole number ratio. The fractional ratio is 2/1: 2/5:2/8?
Solution:
As given in the question, the fractional ratio is 2/1:2/5:2/8.
Now, we need to find out the given ratio into the whole number ratio.
We can also rewrite as the given ratio is 2/1 ÷2/5÷2/8
Now, multiply it. So, we get the value is,
2/1 *2/5*2/8= 8: 40
Therefore, after converting the fractional ratio into the whole number ratio is 8:40.
FAQ’s on Fractional Ratio to Whole Number Ratio Conversion
1. What is the difference between Fraction and Ratio?
A fraction is simply some number divided by another number. A ratio is a relationship between two numbers, although it could be one number divided by another number. Fraction has two parts one is the numerator and the second part is the denominator whereas the ratio has no parts.
2. List the steps to convert the fractional ratio into the whole number ratio?
The following are the steps to convert the fractional ratio into the whole number ratio:
Step I: First, find the least common multiple (L. C. M.) of the denominators.
Step II: Next, we have to Multiply each term of the ratio by this least common multiple (L. C. M.).
Step III: Then simplify it. We get the ratio in the simplest ratio.