Using the formula
Dividend⁄Denominator
= Quotient + Remainder⁄Denominator

29⁄11 = 2 ^{7}⁄_{11}. Ans.

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Conversion of mixed to improper fractions : Help With Fractions

Solved Example 4 of Help With Fractions: Mixed to Improper Fraction

Convert 3 ^{4}⁄_{5} into improper fraction

The denominator of the mixed fraction is 5.
The whole number 3 of the mixed
fraction tells us to take 3 units
containing 5 parts each. i.e. 5 + 5 + 5 = 15 parts.
The numerator 4 of the prper fraction
4⁄5 tells us to take
4 parts of another unit of 5 parts.
Thus we have 15 + 4 = 19 parts altogether.
Thus 3 ^{4}⁄_{5}
can be shown as 19⁄5.

Solved Example 5 of Help With Fractions: Mixed to Improper Fraction

Convert 7 ^{3}⁄_{4} into improper fraction

Applying the Formula
Whole Number (Numerator⁄Denominator)
= (Whole Number x Denominator + Numerator)⁄Denominator

we get
7 ^{3}⁄_{4}
= (7 x 4 + 3)⁄4 = 31⁄4. Ans.

Solved Example 6 of Help With Fractions: Mixed to Improper Fraction

Convert 29 ^{8}⁄_{15} into improper fraction

Applying the Formula
Whole Number (Numerator⁄Denominator)
= (Whole Number x Denominator + Numerator)⁄Denominator

we get
29 ^{8}⁄_{15}
= (29 x 15 + 8)⁄15 = 443⁄15. Ans.

Exercise on Help With Fractions : Conversion from improper to mixed and mixed to improper fractions

Problems on Help With Fractions :

Convert the following imroper fractions to mixed fractions

9⁄2

67⁄10

11⁄3

13⁄4

37⁄5

78⁄7

23⁄6

49⁄8

52⁄9

98⁄11

Convert the following mixed fractions to imroper fractions

2 ^{1}⁄_{2}

2 ^{3}⁄_{4}

3 ^{1}⁄_{4}

4 ^{2}⁄_{3}

5 ^{6}⁄_{7}

7 ^{8}⁄_{9}

6 ^{3}⁄_{7}

9 ^{1}⁄_{9}

8 ^{10}⁄_{11}

7 ^{11}⁄_{13}

For Answers see at the bottom of the Page.

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Answers to Exercise on Help With Fractions : Conversion from improper to mixed and mixed to improper fractions

Answers to Problems on Help With Fractions :

4 ^{1}⁄_{2}

6 ^{7}⁄_{10}

3 ^{2}⁄_{3}

3 ^{1}⁄_{4}

7 ^{2}⁄_{5}

11 ^{1}⁄_{7}

3 ^{5}⁄_{6}

6 ^{1}⁄_{8}

5 ^{7}⁄_{9}

8 ^{10}⁄_{11}

5⁄2

11⁄4

13⁄4

14⁄3

41⁄7

71⁄9

45⁄7

82⁄9

98⁄11

102⁄13

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