If you are looking for an answer on what is 9/5 simplified, then the solution is easy as 9/5 is already simplified.
Simplification of fraction 9/5 is not possible since there is no common factor of 9 and 5 other than 1. Hence,
9/5 simplified = 9/5
Though 9/5 cannot be simplified, it can still be expressed as a mixed number or decimal, and that is 1 4/5 and 1.8 respectively.
In this article, we will learn the method of simplifying 9/5, why it cannot be simplified and how it can be expressed in different ways.
What Is 9/5 Simplified?
To simplify the fraction, you need to find the greatest common divisor of the two numbers forming the fraction.
In case of 9/5:
For the numerator = 9
For the denominator = 5
Factors of 9 = 1, 3, 9
Factors of 5 = 1, 5
Thus, the common factor = 1
This meaning that the fraction cannot be simplified any further.
Thus, we conclude the final answer to be:
9/5 in simplified form = 9/5
This means that if you say that the fraction of 9/5 is simplified in form.
How to Simplify 9/5 Step by Step
Step 1: Find the numerator and the denominator
In the case of the fraction 9/5, 9 is the numerator and 5 is the denominator.
Step 2: Find out the factors
The factors of 9 are:
1, 3, 9
The factors of 5 are:
1, 5
Step 3: Find out the greatest common divisor
To find the GCF of 9 and 5 which will be:
GCF = 1
Step 4: Divide using the GCF
On dividing the numbers in fraction by 1 we get:
9/1 = 9
5/1 = 5
Making it again 9/5.
Why Can’t 9/5 Be Simplified?
In order for a fraction to be simplified, the numerator and the denominator of that fraction should have a common factor that is more than 1. For instance, the fraction 8/12 is simplifiable because they can be divided by 4.
8 ÷ 4 = 2
12 ÷ 4 = 3
As a result, 8/12 = 2/3.
However, 9 and 5 have no common factor more than 1 since 9 is a multiple of 3 but not 5 and 5 is a multiple of 5 but not 9.
Thus:
9/5 = 9/5
This fraction cannot be simplified any further.
Recommended Reading: What Is 0.02 as a Fraction? Step-by-Step Conversion.
Is 9/5 an Improper Fraction?
Yes. 9/5 is an improper fraction since the numerator is bigger than the denominator.
A proper fraction is a fraction with a numerator less than the denominator; for example, 3/5.
An improper fraction is a fraction whose numerator is greater than or equal to its denominator; for instance, 9/5.
Since 9 > 5, then 9/5 is an improper fraction.
9/5 Simplified at a Glance
| Form | Answer |
|---|---|
| Original fraction | 9/5 |
| Simplified fraction | 9/5 |
| Mixed number | 1 4/5 |
| Decimal | 1.8 |
| Percentage | 180% |
| GCF of 9 and 5 | 1 |
9/5 simplified is 9/5 because 9 and 5 do not have any common factor other than 1.
No. 9/5 cannot be further reduced as 9 and 5 are relatively prime numbers.
The greatest common factor of 9 and 5 is 1.
9/5 = 1 4/5.
Conclusion
What is meant by making the fraction 9/5 simpler?
The answer is
9/5
It is impossible even to attempt to make this number simpler as the only common divider between the two numbers in this fraction is 1. The greatest common factor (GCD) is also 1, so the number remains unchanged after dividing it by the GCD.
Alternatively, one can represent this number in a few different forms:
9/5 = 1 4/5 = 1.8 = 180%
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