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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: QuotientRemainderDenominator.

To convert an improper fraction into a mixed number, divide the numerator of the given improper fraction by its denominator. The quotient will represent the whole number and the remainder so obtained will be the numerator of the fractional part. The denominator of the fractional part will be the same as that of the improper fraction i.e.,

Convert Improper Fractions into Mixed Fractions

Let us convert 75 into a mixed number.

As you know if a fraction has same number as numerator and denominator, it makes a whole. Here in 75 we can take out 55 to make a whole and the remaining fraction we have is 25. So, 75 can be written in mixed numbers as 125.

Conversion of Improper Fractions into Mixed Fractions

                          55 = 1                        +                           25

                                           75 = 55 + 25 = 1 + 25 = 125


Actually, 75 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

Examples on Conversion of Improper Fractions into Mixed Fractions:

For Example:


1. Express each of the following improper fractions as mixed fractions:

(i) 174

We have,

Conversion of Improper Fractions into Mixed Fractions

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

Hence, 174 = 414



(ii) 135

We have,

Conversion of Improper Fractions into Mixed Fractions

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

Hence, 135 = 235



(iii) 285

We have,

Conversion of Improper Fractions into Mixed Fractions

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

Hence, 285 = 535.



(iv) 289

We have,

Conversion of Improper Fractions into Mixed Fractions

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

Hence, 289 = 319.



(v) 22615

We have,

Conversion of Improper Fractions into Mixed Fractions


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

Hence, 22615 = 15115.


2. Convert each of the following improper fractions into mixed numbers.

(i) 157

(ii) 249


Solution:

(i)

Conversion of Improper Fractions into Mixed Fractions


(ii) 

Conversion of Improper Fractions into Mixed Fractions



Conversion of an Improper Fraction Into a Mixed Fraction:

3. Let us convert 225 into an mixed fraction.

Divide the numerator 22 by the denominator 5.

Improper Fractions into Mixed Fractions

The quotient 4 gives the whole number. The remainder 2 is the numerator of the fractions.

The denominator of the fraction remains the same. So, 225 = 425


4. Convert 413 into mixed fraction.

Divide the numerator 41 by the denominator 3.

Improper to Mixed Fractions

The quotient 13 gives the whole number. The remainder 2 is the numerator of the fractions.

The denominator of the fraction remains the same.

So, 413 = 1323


Worksheet on Conversion of Improper Fractions into Mixed Fractions:

1. Convert the following into Improper Fractions:

(i) 119

(ii) 245

(iii) 268

(iv) 599

(v) 647


Answer:

1. (i) 129

(ii) 445

(iii) 328

(iv) 659

(v) 917

You might like these

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

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