1/7 As A Mixed Number

Improper Fraction to Mixed Number

In gild to convert an improper fraction to a mixed number, we need to dissever the numerator by the denominator. Subsequently the division, the mixed number is formed in such a style that the caliber that is obtained becomes the whole number, the remainder becomes the new numerator and the denominator remains the same. Let united states of america learn more about converting an improper fraction to mixed number in this lesson.

1.	Conversion of Improper Fraction to Mixed Number
2.	How to Convert Mixed Number to Improper Fraction?
3.	Adding Improper Fraction to Mixed number
4.	FAQs on Improper Fraction to Mixed Number

Conversion of Improper Fraction to Mixed Number

An improper fraction is a fraction in which the denominator is always less than the numerator. For case, 9/ii is an improper fraction. A mixed fraction or a mixed number is a combination of a whole number and a proper fraction. For instance, \(2\dfrac{1}{7}\) is a mixed number where two is the whole number and 1/7 is the proper fraction.

To convert an improper fraction to a mixed number, we demand to divide the numerator by the denominator and then discover out the residue and the quotient. At present, the quotient becomes the whole number of the resultant mixed fraction, the residual becomes the numerator part of the mixed fraction and the denominator part remains the aforementioned.

Instance: Catechumen the improper fraction into a mixed number: 7/iii

Solution: On dividing seven past 3, we become 2 every bit the quotient and 1 as the remainder. Thus, seven/3 will exist written as \(two\dfrac{1}{3}\) as a mixed number.

Conversion of Improper Fraction to 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 nosotros multiply the denominator by the whole number then add together the product with the numerator.

Instance: Let united states convert the mixed number, \(v\dfrac{1}{7}\) to an improper fraction.

Solution: Nosotros volition multiply the number vii past five and the product is 7 × five = 35. To this, nosotros volition add together the numerator 1, which makes it 35 + i = 36. At present, 36 becomes the new numerator and the denominator 7 remains the same. Therefore, \(five\dfrac{1}{7}\) is inverse to an improper fraction and is written equally 36/7.

Calculation Improper Fraction to Mixed number

Adding an improper fraction to a mixed number is simple. We demand to catechumen the mixed number into an improper fraction then we need to check the denominators of the given fractions which should exist the same. In example they are the same, then the numerators can be added while the denominator remains the aforementioned. Nevertheless, if the denominators are different, then they need to exist changed to a common denominator. This is washed by finding the LCM of the denominators and so the fractions tin can be added.

When the denominators are same

Example: Add six/5 and \(4\dfrac{i}{5}\)

Solution: Nosotros will convert \(4\dfrac{ane}{v}\) into an improper fraction

\(four\dfrac{ane}{v}\) = 21/5

Now, add the numerators: 6/5 and 21/five

(vi + 21)/v = 27/5. At present, nosotros will finally convert this improper fraction to a mixed number = \(5\dfrac{2}{5}\)

When the denominators are not the same

Example: Add 6/5 and \(4\dfrac{i}{6}\)

Solution: Nosotros will convert \(4\dfrac{1}{6}\) into an improper fraction

\(four\dfrac{one}{6}\) = 25/6

Now, add 6/5 and 25/6

Since the denominators are different, we volition make their values equal. For this, we demand to find the Least Common Multiple (LCM) of the denominators. The LCM of five and half-dozen is 30. At present, we multiply both the fractions with such a number so that the denominators become the same. This ways nosotros volition multiply half dozen/5 with 6/six, that is, 6/5 × 6/six = 36/xxx. And we volition multiply 25/6 with v/five, that is, 25/6 × five/five = 125/30. Now, they can be added and written equally (36 + 125)/thirty = 161/30. Now, let the states catechumen the improper fraction to a mixed number: 161/30 = \(5\dfrac{11}{30}\)

☛ Related Links

Mixed Number to Improper Fraction
Mixed Fraction to Decimal
Types of Fractions
Comparing Fractions
Decimals and Fractions

Improper Fraction to Mixed Number Examples

Case 1: Convert the given improper fraction to a mixed number: 8/3

Solution: To convert the given improper fraction to mixed number we will carve up 8 past iii and write the residuum equally the new numerator and quotient as the whole number.

8/three = \(2\dfrac{two}{3}\)
Example two: Write the steps to convert the given improper fraction to a mixed number: 23/xi

Solution: To catechumen an improper fraction to a mixed number we employ the following steps:
- We divide the numerator by the denominator. In this case, 23 is divided past 11, After the division, we become ii every bit the quotient and ane as the balance.
- This caliber becomes the whole number for the resultant mixed number, and the remainder becomes the new numerator. The denominator remains the same.
23/eleven = \(ii\dfrac{1}{11}\)
Example 3: Add together the improper fraction 31/five to a mixed number \(2\dfrac{two}{5}\).

Solution: To add an improper fraction to a mixed number we volition offset convert \(2\dfrac{2}{5}\) into an improper fraction.

\(2\dfrac{2}{5}\) = 12/5

Now, nosotros tin can add the fractions 31/5 and 12/5

Since the denominators are the aforementioned, (31+12)/5 = 43/5

Finally, we change the improper fraction to mixed number, 43/5 = \(8\dfrac{3}{5}\)

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Practice Questions Improper Fraction to Mixed Number

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FAQs on Improper Fraction to Mixed Number

How to Catechumen Improper Fraction to a Mixed Number?

In order to convert an improper fraction to a mixed number, nosotros need to divide the numerator by the denominator and find out the quotient and the residual. Now, the quotient becomes the whole number of the resultant mixed fraction and the remainder becomes the numerator part of the mixed fraction while the denominator part remains the aforementioned. For example, to convert ix/5 to a mixed number, we divide 9 by v. After the sectionalisation, nosotros get one as the quotient and iv as the remainder. Then, 1 becomes the whole number and 4 becomes the new numerator of the resultant mixed fraction, thus, making it \(ane\dfrac{4}{5}\)

How do you Convert a Mixed Number to an Improper Fraction?

In order to convert a mixed number to an improper fraction, we multiply the denominator of the mixed number past the whole number. After getting the product, nosotros add the production and the numerator which will brand information technology into an improper fraction. For example, let u.s. convert \(8\dfrac{3}{5}\) to an improper fraction. We will multiply v by 8 and then the product 40 will be added to 3. The resultant improper fraction will be 43/5.

How to Change the Improper Fraction 34/8 to a Mixed Number?

Kickoff, we will divide the numerator 34 by eight and then observe the residuum and the quotient. On dividing 34 by 8, we get iv as the quotient and two every bit the residuum. Thus, the quotient 4 becomes the whole number and 2 becomes the new numerator of the resultant mixed number, thus, making it \(4\dfrac{2}{8}\)

How to Convert a Negative Improper Fraction to a Mixed Number?

A negative improper fraction can be changed to a mixed number in the same way equally we do any other positive improper fraction. The simply alter is the negative sign that will proceed the converted mixed fraction. For instance, let us catechumen -xiii/4 to a mixed number. We will commencement divide 13 by 4, which will give the caliber equally three and the remainder as ane. Therefore, the mixed number will be written as -\(three\dfrac{one}{iv}\)

What is the Commencement Step to convert 22/3 from an Improper Fraction to a Mixed Number?

The beginning footstep to convert an improper fraction to a mixed number is to carve up the numerator by the denominator. After this step, the caliber that is obtained becomes the whole number, the remainder becomes the new numerator and the denominator remains the same. In this case, 22/3 demand to exist converted to a mixed number. So, the first step is to carve up 22 past 3. 22 ÷ 3 gives 7 as the quotient and i equally the remainder. The resultant mixed number volition be written every bit \(seven\dfrac{1}{three}\)