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E:\Working\Focus_Learning\Math_Genius_4_(25-10-2023)\Open_Files\Chap-06
\\September 11, 2024 12:14 PM Bharat Arora P-6 Reader _________________________ Date: ___________________74

conversion of improper Fractions into mixed Fractions

An improper fraction can be converted into a mixed fraction.

To convert an improper fraction into a mixed fraction, divide the numerator by the

denominator.

The quotient is the whole number of the mixed fraction. The remainder placed over
the denominator (unchanged) gives the fractional part.

Remainder
Improper fraction = Quotient = Mixed fraction
Divisor

5
example 1: Convert into a mixed fraction.
2
Solution: Divide numerator 5 by the denominator 2.

5 = 5 ÷ 2

2 2 5 2 Whole part
4
5 1 Denominator Numerator
Thus, = 2 1
2 2 (new)
converting mixed Fractions into improper Fractions

A mixed fraction can be converted into an improper fraction.

To convert a mixed fraction into an improper fraction, we multiply the whole number
by the denominator of the fraction and add the numerator to the product obtained.

The sum placed over the denominator gives the improper fraction.

Denominator × Whole + Numerator
Mixed fraction = = Improper fraction

1 Denominator
example 2: 3 into an improper fraction.
2
+

+
×+
Solution: 3 1 = 3 1 = 32 1 = 61 = 7
2 2 2 2 2
×

Practice time 6c

1. Which of the following are proper fractions?

(a) 2 (b) 3 (c) 8 (d) 17 (e) 11
7 5 3 23 13

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