Right here on Collegelearners, you are privy to a litany of relevant information on how to write 1 whole as a fraction ,writing whole numbers as fractions worksheets , mixed fraction to whole number converter , and so much more. Take out time to visit our catalog for more information on similar topics.
How To Write Whole Numbers As Fractions
How to Make a Fraction Into a Whole Number
Usually, people use fractions to represent numbers smaller than one: 3/4, 2/5 and the like. But if the number on top of the fraction (the numerator) is bigger than the number on the bottom of the fraction (the denominator), the fraction represents a number bigger than one, and you can write it either as a whole number or as a combination of a whole number and a decimal or a fraction remainder.
Calculating Whole Numbers From Fractions
To find the whole number hidden in an improper fraction, remember that the fraction represents division. So, if you have a fraction like:frac{5}{8} text{ it also represents }5 ÷ 8 = 0.62585 it also represents 5÷8=0.625
There is no whole number in that fraction, because the numerator was smaller than the denominator, which means the result will always be less than one. But if the numerator and denominator were the same, you’d get a whole number. For example:frac{8}{8} text{ represents } 8 ÷ 8 = 188 represents 8÷8=1
If the numerator of a fraction is a multiple of the denominator, the result will always be a whole number: For example,frac{24}{8}text{ represents }24 ÷ 8 = 3824 represents 24÷8=3
Calculating Mixed Fractions
What if the numerator of your fraction is bigger than the denominator – so you know there’s a whole number in there somewhere – but it’s not an exact multiple of the denominator. You still use the same technique: Do the division that the fraction represents. So, if your fraction isfrac{11}{5} text{, you’d work out }11 ÷ 5 = 2.2511, you’d work out 11÷5=2.2
Depending on the purpose behind your calculations, you might be able to leave the answer in decimal form, or you might need to express the result as a mixed number, which is a combination of the whole number (in this case, 2) and the fractional remainder.
Calculating the Fractional Remainder: Method 1
If you need to put the result of the above example, 11 ÷ 5 = 2.2, into mixed number form, there are two ways of going about it. If you already have the decimal result, just write the decimal part of the number as a fraction. The numerator of the fraction is whichever digits are to the right of the decimal point – in this case, 2 – and the denominator of the fraction is the place value of the digit that’s furthest to the right of the decimal. The “2” is in the tenths spot, so the denominator of the fraction is 10, giving us 2/10. You can simplify that fraction to 1/5, so your complete result in mixed number form is:frac{11}{5} = 2 ,, frac{1}{5}511=251
Calculating the Fractional Remainder: Method 2
You can also calculate the fractional reminder of a mixed number without converting it to a decimal first. In that case, once you work out the whole number, simply write that number as a fraction with the same denominator as your initial fraction, then subtract the result from the initial fraction. The result is your fractional reminder. This makes a lot more sense once you see an example so, again, let’s consider the example of 11/5. Even if you work out the division longhand, you’ll see quickly that the answer is two-something. Writing the 2 as a fraction with the same denominator gives you 10/5. Subtracting that from the original fraction gives youfrac{11}{5} – frac{10}{5} = frac{1}{5}511−510=51
So 1/5 is your fractional remainder. When you write your final answer, don’t forget to give the whole number, too:2 ,, frac{1}{5}251
mixed fraction to whole number converter
Improper Fraction to Mixed Number
In order to convert an improper fraction to a mixed number, we need to divide the numerator by the denominator. After the division, the mixed number is formed in such a way that the quotient that is obtained becomes the whole number, the remainder becomes the new numerator and the denominator remains the same. Let us learn more about converting an improper fraction to mixed number in this lesson.
Conversion of Improper Fraction to Mixed Number
An improper fraction is a fraction in which the denominator is always less than the numerator. For example, 9/2 is an improper fraction. A mixed fraction or a mixed number is a combination of a whole number and a proper fraction. For example, 217217 is a mixed number where 2 is the whole number and 1/7 is the proper fraction.
To convert an improper fraction to a mixed number, we need to divide the numerator by the denominator and then find out the remainder and the quotient. Now, the quotient becomes the whole number of the resultant mixed fraction, the remainder becomes the numerator part of the mixed fraction and the denominator part remains the same.
Example: Convert the improper fraction into a mixed number: 7/3
Solution: On dividing 7 by 3, we get 2 as the quotient and 1 as the remainder. Thus, 7/3 will be written as 213213 as a mixed number.
How to Convert Mixed Number to Improper Fraction?
As we already know that an improper fraction is a fraction where the numerator is more than the denominator and a mixed number consists of a whole number and a proper fraction. So, while converting a mixed number into an improper fraction we multiply the denominator by the whole number then add the product with the numerator.
Example: Let us convert the mixed number, 517517 to an improper fraction.
Solution: We will multiply the number 7 by 5 and the product is 7 × 5 = 35. To this, we will add the numerator 1, which makes it 35 + 1 = 36. Now, 36 becomes the new numerator and the denominator 7 remains the same. Therefore, 517517 is changed to an improper fraction and is written as 36/7.
Adding Improper Fraction to Mixed number
Adding an improper fraction to a mixed number is simple. We need to convert the mixed number into an improper fraction and then we need to check the denominators of the given fractions which should be the same. In case they are the same, then the numerators can be added while the denominator remains the same. However, if the denominators are different, then they need to be changed to a common denominator. This is done by finding the LCM of the denominators and then the fractions can be added.
When the denominators are same
Example: Add 6/5 and 415415
Solution: We will convert 415415 into an improper fraction
415415 = 21/5
Now, add the numerators: 6/5 and 21/5
(6 + 21)/5 = 27/5. Now, we will finally convert this improper fraction to a mixed number = 525525
When the denominators are not the same
Example: Add 6/5 and 416416
Solution: We will convert 416416 into an improper fraction
416416 = 25/6
Now, add 6/5 and 25/6
Since the denominators are different, we will make their values equal. For this, we need to find the Least Common Multiple (LCM) of the denominators. The LCM of 5 and 6 is 30. Now, we multiply both the fractions with such a number so that the denominators become the same. This means we will multiply 6/5 with 6/6, that is, 6/5 × 6/6 = 36/30. And we will multiply 25/6 with 5/5, that is, 25/6 × 5/5 = 125/30. Now, they can be added and written as (36 + 125)/30 = 161/30. Now, let us convert the improper fraction to a mixed number: 161/30 = 5113051130
☛ Related Links
- Mixed Number to Improper Fraction
- Mixed Fraction to Decimal
- Types of Fractions
- Comparing Fractions
- Decimals and Fractions
Download FREE Study Materials
Improper Fraction to mixed number
Improper Fraction to mixed numberConversion Of Improper Fraction To Mixed Number
Improper Fraction to Mixed Number Examples
- Example 1: Convert the given improper fraction to a mixed number: 8/3Solution: To convert the given improper fraction to mixed number we will divide 8 by 3 and write the remainder as the new numerator and quotient as the whole number.8/3 = 223223
- Example 2: Write the steps to convert the given improper fraction to a mixed number: 23/11Solution: To convert an improper fraction to a mixed number we use the following steps:
- We divide the numerator by the denominator. In this case, 23 is divided by 11, After the division, we get 2 as the quotient and 1 as the remainder.
- This quotient becomes the whole number for the resultant mixed number, and the remainder becomes the new numerator. The denominator remains the same.
- Example 3: Add the improper fraction 31/5 to a mixed number 225225.Solution: To add an improper fraction to a mixed number we will first convert 225225 into an improper fraction.225225 = 12/5Now, we can add the fractions 31/5 and 12/5Since the denominators are the same, (31+12)/5 = 43/5Finally, we change the improper fraction to mixed number, 43/5 = 835835
Have questions on basic mathematical concepts?Become a problem-solving champ using logic, not rules. Learn the why behind math with our certified experts
Book a Free Trial Class
Practice Questions Improper Fraction to Mixed Number
- Q1.Which is the correct option when we convert the improper fraction 9/5 to a mixed number?
- 1451451 and 4 fifths
- 8358358 and 3 fifths
- 136136 1 and 3 sixths
- Q2.Which is the correct option when we convert the mixed number 434434 to an improper fraction?
- 22/422/4
- 16/416/4
- 19/419/4
