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Mixed Numbers Mixed Numbers & &
Improper Improper FractionsFractions
VocabularyVocabulary• convert – to change
from one form to another
• mixed number – a whole number and a fraction
• improper fraction – a fraction larger than one whole; the numerator is larger than the denominator
Mixed NumbersMixed Numbers• A mixed number has a part that is a
whole and a part that is a fraction.
= 134
Write the mixed Write the mixed number:number:
= 3 34
= 5 12
Write the mixed Write the mixed number:number:
Mixed Number → Improper Fraction
1. Multiply the whole number times the denominator
2. Add your answer to the numerator3. Put that number over the denominator
=52
Multiply the wholenumber times
the denominator
Add the numerator
2 12
2 12x
+ 5Put that number
over the denominator
2
Convert the mixed number to an Convert the mixed number to an improper fraction:improper fraction:
203
236
Convert the mixed number to an Convert the mixed number to an improper fraction:improper fraction:
193
136
Improper FractionsImproper Fractions
• A fraction in which the numerator is greater than the denominator.
=84
Write the improper Write the improper fraction:fraction:
=194
=112
Write the improper Write the improper fraction:fraction:
Improper Fraction → Mixed Number
1. Divide the numerator by the denominator
2. Put the remainder over the denominator
=52
522
41
R 1Divide the
numerator by the denominator
Write the remainder
over thedenominator
2
2 12
Convert the improper fraction Convert the improper fraction to a mixed number:to a mixed number:
73
132
Convert the improper fraction Convert the improper fraction to a mixed number:to a mixed number:
83
232
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