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Table of Content
This online mixed numbers to improper fractions calculator has been specially designed to turn mixed number to improper fraction. So if you are looking for accurate results regarding such conversions, scroll down the article below and start learning basics with us.
Stay focused!
In the light of mathematical contextual:
“A mixed number is the fraction that contains a whole number and a proper fraction”
For example:
$$ 2\frac{1}{3} \hspace{0.25in} 3\frac{3}{6} \hspace{0.25in} 6\frac{7}{9} $$
Below are the steps that you need to follow up in order to perform such conversions:
Step # 01:
Multiply the denominator with the whole number
Step # 02:
Now add the result of the step # 01 in the numerator
Step # 03:
Now write the result of step # 02 in the numerator and denominator will remain the same
All above steps are summarized in the following pictorial representation:
Our best mixed numbers to improper fractions calculator also uses the same process to generate accurate outputs with seconds.
Here we will be resolving a few examples to clear the difference between mixed numbers and the improper fractions. Keep scrolling!
Example # 01:
How to make an improper fraction from the mixed number given below:
$$ 2\frac{5}{6} $$
Solution:
By following the three steps discussed above, we get:
Step # 01:
$$ Denominator = 6 $$
$$ Whole Number = 2 $$
$$ Denominator * Whole Number = 6 * 2 $$
$$ = 12 $$
Step # 02:
$$ 12 + Numerator = 12 + 5 $$
$$ = 17 $$
The above number will be the final numerator
Step # 03:
The final improper fraction is as follows:
$$ \frac{17}{6} $$
So we have:
$$ 2\frac{5}{6} = \frac{17}{6} $$
Example # 02:
What is 1 2 3 as an improper fraction?
Solution:
Here 1 2 3 means \(1\frac{2}{3}\)
So we have:
Step # 01:
$$ Denominator = 3 $$
$$ Whole Number = 1 $$
$$ Denominator * Whole Number = 3 * 1 $$
$$ = 3 $$
Step # 02:
$$ 3 + Numerator = 3 + 2 $$
$$ = 5 $$
The above number will be the final numerator
Step # 03:
The final improper fraction is as follows:
$$ \frac{5}{3} $$
So we have:
$$ 1\frac{2}{3} = \frac{5}{3} $$
Example # 03:
How to change a mixed number into an improper fraction that is as follows:
$$ 9\frac{2}{3} $$
Solution:
Step # 01:
$$ Denominator = 3 $$
$$ Whole Number = 9 $$
$$ Denominator * Whole Number = 3 * 9 $$
$$ = 27 $$
Step # 02:
$$ 27 + Numerator = 27 + 2 $$
$$ = 29 $$
The above number will be the final numerator
Step # 03:
The final improper fraction is as follows:
$$ \frac{29}{3} $$
So we have:
$$ 9\frac{2}{3} = \frac{29}{3} $$
Which is our required answer.
You can also verify all these results by fetching values in our best mixed numbers to improper fractions calculator.
Example # 04:
Write down 4 2 3 as an improper fraction?
Solution:
Here we have:
4 2 3 is actually \(4\frac{2}{3}\)
Step # 01:
$$ Denominator = 3 $$
$$ Whole Number = 4 $$
$$ Denominator * Whole Number = 3 * 4 $$
$$ = 12 $$
Step # 02:
$$ 12 + Numerator = 12 + 2 $$
$$ = 14 $$
The above number will be the final numerator
Step # 03:
The final improper fraction is as follows:
$$ \frac{14}{3} $$
So we have:
$$ 4\frac{2}{3} = \frac{14}{3} $$
Which is our required answer.
Example # 05:
How to convert a mixed number into an improper fraction that is written down:
$$ 2\frac{7}{10} $$
Solution:
Step # 01:
$$ Denominator = 10 $$
$$ Whole Number = 2 $$
$$ Denominator * Whole Number = 10 * 2 $$
$$ = 20 $$
Step # 02:
$$ 20 + Numerator = 20 + 7 $$
$$ = 27 $$
The above number will be the final numerator
Step # 03:
The final improper fraction is as follows:
$$ \frac{27}{10} $$
So we have:
$$ 2\frac{7}{10} = \frac{27}{10} $$
Which is our required answer.
Use our free online mixed number to improper fraction calculator if you feel any hurdle resolving these problems.
Example # 06:
How do you write 1 1 2 as an improper fraction?
Solution:
1 1 2 is actually a mixed number that is \(1\frac{1}{2}\)
Now:
Step # 01:
$$ Denominator = 2 $$
$$ Whole Number = 1 $$
$$ Denominator * Whole Number = 2 * 1$$
$$ = 2 $$
Step # 02:
$$ 2 + Numerator = 2 + 1 $$
$$ = 3 $$
The above number will be the final numerator
Step # 03:
The final improper fraction is as follows:
$$ \frac{3}{2} $$
So we have:
$$ 1\frac{1}{2} = \frac{3}{2} $$
Which is our required answer.
We have summarized most common and important mixed fraction to improper fraction in the following table:
MIXED NUMBER INTO IMPROPER FRACTION
Sr # |
Mixed Numbers |
As An Improper Fraction |
1 |
$$ 2\frac{1}{2} $$ | $$ \frac{5}{2} $$ |
2 |
$$ 2\frac{2}{3} $$ | $$ \frac{8}{3} $$ |
3 |
$$ 1\frac{2}{5} $$ | $$ \frac{7}{2} $$ |
4 |
$$ 5\frac{2}{3} $$ | $$ \frac{17}{3} $$ |
5 |
$$ 3\frac{2}{5} $$ | $$ \frac{17}{5} $$ |
6 |
$$ 2\frac{1}{4} $$ | $$ \frac{9}{4} $$ |
7 |
$$ 4\frac{1}{2} $$ | $$ \frac{9}{2} $$ |
8 |
$$ 3\frac{4}{5} $$ | $$ \frac{19}{5} $$ |
9 |
$$ 3\frac{2}{3} $$ | $$ \frac{11}{3} $$ |
10 |
$$ 3\frac{1}{3} $$ | $$ \frac{10}{3} $$ |
11 |
$$ 3\frac{3}{4} $$ | $$ \frac{15}{4} $$ |
12 |
$$ 2\frac{3}{5} $$ | $$ \frac{13}{5} $$ |
13 |
$$ 1\frac{1}{3} $$ | $$ \frac{4}{3} $$ |
14 |
$$ 2\frac{2}{5} $$ | $$ \frac{12}{5} $$ |
15 |
$$ 4\frac{5}{6} $$ | $$ \frac{29}{6} $$ |
16 |
$$ 3\frac{2}{9} $$ | $$ \frac{29}{9} $$ |
17 |
$$ 5\frac{1}{3} $$ | $$ \frac{16}{3} $$ |
18 |
$$ 7\frac{1}{2} $$ | $$ \frac{15}{2} $$ |
19 |
$$ 3\frac{3}{5} $$ | $$ \frac{18}{5} $$ |
20 |
$$ 2\frac{4}{12} $$ | $$ \frac{28}{12} $$ |
21 |
$$ 4\frac{7}{8} $$ | $$ \frac{39}{8} $$ |
22 |
$$ 5\frac{4}{7} $$ | $$ \frac{39}{7} $$ |
23 |
$$ 7\frac{2}{4} $$ | $$ \frac{30}{4} $$ |
24 |
$$ 5\frac{8}{13} $$ | $$ \frac{73}{13} $$ |
25 |
$$ 1\frac{4}{5} $$ | $$ \frac{9}{5} $$ |
26 |
$$ 4\frac{3}{5} $$ | $$ \frac{23}{5} $$ |
27 |
$$ 2\frac{6}{8} $$ | $$ \frac{22}{8} $$ |
28 |
$$ 1\frac{5}{5} $$ | $$ \frac{10}{5} $$ |
29 |
$$ 6\frac{5}{6} $$ | $$ \frac{41}{6} $$ |
30 |
$$ 3\frac{5}{5} $$ | $$ \frac{20}{5} $$ |
31 |
$$ 2\frac{7}{9} $$ | $$ \frac{25}{9} $$ |
32 |
$$ 12\frac{3}{5} $$ | $$ \frac{63}{5} $$ |
33 |
$$ 1\frac{4}{23} $$ | $$ \frac{27}{23} $$ |
34 |
$$ 9\frac{4}{5} $$ | $$ \frac{49}{5} $$ |
35 |
$$ 4\frac{13}{24} $$ | $$ \frac{109}{24} $$ |
36 |
$$ 3\frac{3}{12} $$ | $$ \frac{39}{12} $$ |
37 |
$$ 8\frac{3}{51} $$ | $$ \frac{411}{51} $$ |
38 |
$$ 2\frac{4}{6} $$ | $$ \frac{16}{6} $$ |
39 |
$$ 4\frac{5}{7} $$ | $$ \frac{33}{7} $$ |
Let our free calculator convert mixed numbers to improper fractions in a single tap. Want to see how? Let’s go!
Input:
Output:
The free mixed number to improper fraction calculator determines:
3 2 is actually \(\frac{3}{2}\) and its corresponding mixed number is \(1\frac{1}{2}\)
(For detailed calculations, tap improper fractions to mixed numbers calculator)
Here:
7 2 = \(\frac{7}{2}\)
The corresponding mixed number is \(3\frac{1}{2}\)
Yes, an improper fraction can definitely be negative. All you have to do is to treat this as a positive improper fraction and put the negative sign with the answer.
A particular fraction in which the denominator is greater than its numerator is called a proper fraction.
The conversion between a mixed number and an improper fraction leads us to know the nature of the fractions. When you get an idea how small or large the fraction is, you can easily resolve it. And the best method to resolve such fractions is none other than an online mixed numbers to improper fractions calculator.
From the source of Wikipedia: Mathematical fractions
From the source of Khan Academy: mixed numbers and improper fractions, review
From the source of Lumen Learning: Convert to an improper fraction