Want to find 30/4 as a mixed fraction? Here is a step-by-step guide illustrating the easiest technique to convert an improper fraction as 30/4 as a mixed fraction.
Fractions can be expressed in different forms and here we shall learn about how to convert from one form to another.
The number 30/4 is an improper fraction that needs to be converted to a mixed fraction in the given case. Let us learn the techniques of how to convert a given improper fraction to a mixed fraction.
What is 30/4 as a Mixed Fraction? 30/4 = 7 ½
Basic Concepts
1) A mixed fraction is constructed of a whole number and a fraction that is smaller in size than the given improper fraction from which it is simplified.
2) Definition of numerator: A numerator is a digit or a number that is present above the line of division.
3) Definition of denominator: A denominator is a digit that is present below the line division.
4) What is an improper fraction: An improper fraction is where the numerator is greater than the denominator and it can also be converted to a mixed fraction.
5) What is a proper fraction: A proper fraction is where the numerator is smaller than the denominator.
Also read: Convert 500 mcg to mg?
Calculation to find 30/4 as a Mixed Fraction
Step 1: Find the whole number
First, you need to find the whole number, and do so you need to find the value by dividing the numerator by denominator.
Now,
30 ÷ 4 = 7.5
So the whole number is now 7 and we have already solved a part of the given question.
Step 2: Find the smaller numerator
How to find the new smaller numerator.
To find the new numerator you need to multiply the whole number we found in the results of step 1 with the original denominator which is 4
Hence,
7×4 = 28
Now you need to subtract the multiple from the original numerator and thus,
30-28 = 2
Hence, 2 is the new numerator.
Step 3
Hence, 2 is the new numerator.
The original denominator will be the same for the new denominator and thus the given expression will be
Whole number = 7
New numerator = 2
The new denominator (same as original) = 4
Hence, the mixed fraction will be = 7 2/4
[latexpage]
\[
\frac{30}{4}=7\frac{2}{4}
\]
Step 4
The smaller fraction can be implied even further by dividing both the denominator and the numerator with a common factor of 2
Hence the answer will be 7 ½
[latexpage]
\[
\frac{30}{4}=7\frac{1}{2}
\]
This is because the greatest common factor of 2 and 4 is 2 hence we reduce the numerator and denominator 2 and 4 by 2 respectively.
Conclusion
So the final result to the conversion of improper fraction 30/4 is 7 ½
Also read: What is 1/5 as a Decimal?
Naomi is an educator with 2 decades of experience working with children of all ages. She is a keen observer of the magic and importance of Maths in our daily lives. Follow me on Linkedin