Conversion of Improper Fractions to Mixed Numbers, Summaries of Calculus

Instructions on how to convert improper fractions to mixed numbers. The process involves multiplying the denominator by the whole number, adding the numerator to the product, and keeping the denominator the same for improper fractions. A reverse process is also given for converting mixed numbers to improper fractions.

Typology: Summaries

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Mixed to Improper
•Multiply the denominator by the whole number.
•Add the numerator to this product to �ind your new
numerator.
•Keep the denominator the same.
21
4
9
4
x
+=
Example:
Improper to Mixed
•Divide the numerator by the denominator until you have a
remainder.
•The whole number in the quotient is the whole number in
the answer.
•The remainder is the numerator.
•The denominator stays the same.
Example:
21
4
9
4= =
9
4
r12
pf2

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Mixed to Improper

•Multiply the denominator by the whole number. •Add the numerator to this product to �ind your new numerator. •Keep the denominator the same.

x 4

Example:

Improper to Mixed

•Divide the numerator by the denominator until you have a remainder. •The whole number in the quotient is the whole number in the answer. •The remainder is the numerator. •The denominator stays the same. Example:

4 =^4 9 =

2 r