Page 186 - Math Smart - 7
P. 186
83.2 Converting improper fractions
to mixed numbers
Example 2
O Convert each improper fraction to a mixed number.
Express your answer in the simplest form.
a) ^ b) f c) ^ d) 24
8 10
Solution
=
b) ^
=
1
d) ^ 30 + 4
-
O) 10 -
10
30 , A
10 10
= 3 + §
We can also use division to help us convert improper fractions to mixed numbers.
O Write 4 as a mixed number.
The numerator {the Solution
M
number being divided)
+
=\,\
=1
a) Since |
^+1
is the dividend.
The denominator (the =1+1+1
number dividing the
= 2i
dividend) is the divisor.
The quotient (the b) 9 -r 4 = 2 R 1 2 R 1
Write the remainder 1 as 419
answer to the division)
= 2 a fraction of the divisor 4. 8
is the whole number
1
part of the mixed
number.
To convert an improper fraction to a mixed number, divide the numerator by the
denominator.
• If the dividend is not a multiple of the divisor, then there will be a remainder.
• The remainder can be written as a fraction of the divisor. This is the fractional
part of the mixed number. quotient
^ remainder
157 ^ 25 = 6^
divisor
t t
dividend divisor
UNIT 8 I Fractions
