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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 the numerator 5 by the denominator 2.
2 5 2 Whole part
5 1 Denominator 4
Thus, = 2 1 Numerator of
2 2
new fraction
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 (unchanged) gives the improper fraction.

Denominator × Whole + Numerator
Mixed fraction = = Improper fraction
Denominator
1
Example 2: Convert 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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