Mixed Numbers and Improper Fractions
6-7
When you compute with fractions, you must
be able to express mixed numbers as
improper fractions and vice versa.
An improper fraction has a value
that is equal to or is greater than1.
It has a numerator equal to or
greater thanits denominator.
To rename a mixed number as a
fraction:
Multiply the whole number by
the denominator.
Add the product to the
numerator.
Write the sum over the
denominator.
To rename an improper fraction as a whole number
or as a mixed number:
Divide the numerator
by the denominator.
Write the quotient as the
whole number part.
If there is a remainder,
write it over the denominator
and express the fraction in
simplest form.
Study these examples.
10 ^56
(6 1
6
0) 5
^606 ^5 ^665
Remember: Read 9^12 as
nine andone half.
3 ^12 ^72
(23) 1
2
2
^198 9 1 8 ^198 2
9 R 2
^348 4 3 8
^3
4
(^8) 9 2
4
^3
4
(^8) 9 1
2
improper fraction
3 ^12 ^72
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