Conversion of Improper Fractions into Mixed Fractions

In conversion of improper fractions into mixed fractions, we follow the following steps:

Step I:

Obtain the improper fraction.

Step II:

Divide the numerator by the denominator and obtain the quotient and remainder.

Step III:

Write the mixed fraction as: Quotient\(\frac{Remainder}{Denominator}\).

Let us convert \(\frac{7}{5}\) into a mixed number.

As you know if a fraction has same number as numerator and denominator, it makes a whole. Here in \(\frac{7}{5}\) we can take out \(\frac{5}{5}\) to make a whole and the remaining fraction we have is \(\frac{2}{5}\). So, \(\frac{7}{5}\) can be written in mixed numbers as 1\(\frac{2}{5}\).

Conversion of Improper Fractions into Mixed Fractions

                          \(\frac{5}{5}\) = 1                        +                           \(\frac{2}{5}\)

                                           \(\frac{7}{5}\) = \(\frac{5}{5}\) + \(\frac{2}{5}\) = 1 + \(\frac{2}{5 }\) = 1\(\frac{2}{5}\)


Actually, \(\frac{7}{5}\) means 7 ÷ 5. When we divide 7 by 5 we get 1 as quotient and 2 as remainder. To convert an improper fraction into a mixed number we place the quotient 1 as the whole number, the remainder 2 as the numerator and the divisor 5 as the denominator of the proper fraction.

Improper Fractions into Mixed Fractions

For Example:


Express each of the following improper fractions as mixed fractions:

(i) \(\frac{17}{4}\)

We have,

Conversion of Improper Fractions into Mixed Fractions

Therefore, Quotient = 4, Remainder = 1, Denominator = 4.

Hence, \(\frac{17}{4}\) = 4\(\frac{1}{4}\)



(ii) \(\frac{13}{5}\)

We have,

Conversion of Improper Fractions into Mixed Fractions

Therefore, Quotient = 2, Remainder = 3, Denominator = 5.

Hence, \(\frac{13}{5}\) = 2\(\frac{3}{5}\)



(iii) \(\frac{28}{5}\)

We have,

Conversion of Improper Fractions into Mixed Fractions

Therefore, Quotient = 5, Remainder = 3, Denominator = 5

Hence, \(\frac{28}{5}\) = 5\(\frac{3}{5}\).



(iv) \(\frac{28}{9}\)

We have,

Conversion of Improper Fractions into Mixed Fractions

Therefore, Quotient = 3, Remainder = 1, Denominator = 9

Hence, \(\frac{28}{9}\) = 3\(\frac{1}{9}\).



(v) \(\frac{226}{15}\)

We have,

Conversion of Improper Fractions into Mixed Fractions


Therefore, Quotient = 15, Remainder = 1, Denominator = 15

Hence, \(\frac{226}{15}\) = 15\(\frac{1}{15}\).

Fraction

Representations of Fractions on a Number Line

Fraction as Division

Types of Fractions

Conversion of Mixed Fractions into Improper Fractions

Conversion of Improper Fractions into Mixed Fractions

Equivalent Fractions

Interesting Fact about Equivalent Fractions

Fractions in Lowest Terms

Like and Unlike Fractions

Comparing Like Fractions

Comparing Unlike Fractions

Addition and Subtraction of Like Fractions

Addition and Subtraction of Unlike Fractions

Inserting a Fraction between Two Given Fractions




Numbers Page

6th Grade Page

From Conversion of Improper Fractions into Mixed Fractions to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Types of Fractions |Proper Fraction |Improper Fraction |Mixed Fraction

    Mar 02, 24 05:31 PM

    Fractions
    The three types of fractions are : Proper fraction, Improper fraction, Mixed fraction, Proper fraction: Fractions whose numerators are less than the denominators are called proper fractions. (Numerato…

    Read More

  2. Subtraction of Fractions having the Same Denominator | Like Fractions

    Mar 02, 24 04:36 PM

    Subtraction of Fractions having the Same Denominator
    To find the difference between like fractions we subtract the smaller numerator from the greater numerator. In subtraction of fractions having the same denominator, we just need to subtract the numera…

    Read More

  3. Addition of Like Fractions | Examples | Worksheet | Answer | Fractions

    Mar 02, 24 03:32 PM

    Adding Like Fractions
    To add two or more like fractions we simplify add their numerators. The denominator remains same. Thus, to add the fractions with the same denominator, we simply add their numerators and write the com…

    Read More

  4. Comparison of Unlike Fractions | Compare Unlike Fractions | Examples

    Mar 01, 24 01:42 PM

    Comparison of Unlike Fractions
    In comparison of unlike fractions, we change the unlike fractions to like fractions and then compare. To compare two fractions with different numerators and different denominators, we multiply by a nu…

    Read More

  5. Equivalent Fractions | Fractions |Reduced to the Lowest Term |Examples

    Feb 29, 24 05:12 PM

    Equivalent Fractions
    The fractions having the same value are called equivalent fractions. Their numerator and denominator can be different but, they represent the same part of a whole. We can see the shade portion with re…

    Read More