Vocabulary
• Proper Fraction - A fraction in which the numerator is less
than the
denominator. The fractions 3/4 and 15/16 are proper fractions.
• Improper Fraction - A fraction in which the numerator is greater
than or equal
to the denominator. The fractions 34/29, 8/7, and 6/6 are all improper
fractions.
• Mixed Number - A number created by the sum of a whole number greater
than 1 and a proper fraction. The numbers 
and 
are both mixed
numbers. Mixed numbers are sometimes referred to as mixed fractions.
Changing a Mixed Number to an Improper Fraction
1. Multiply the whole number by the denominator of the fraction .
2. Add the numerator of the fraction to the product found in step 1.
3. Write the sum found in step 2 over the denominator of the fraction.
Examples of Changing Mixed Numbers to Improper
Fractions
Changing an Improper Fraction to a Mixed Number
1. Divide the numerator by the denominator.
2. Write the quotient fol lowed by the fraction with the remainder over the
denominator.
Examples of Changing Improper Fractions to Mixed
Numbers
Reduce Each Mixed Number
Reduce Each Improper Fraction
Change to a Mixed Number and Reduce
Applications
1. For the Northwestern University alumni homecoming, the students
studying
sculpture have made a giant replica of the school using
pounds of
clay. Change this number to an improper fraction.
2. To paint the walls of the new gymnasium, the custodian
took measurements.
Based on his calculations , he de termined he needed 361/3 gallons of paint.
Write this as a mixed number.
2.3 Homework
Pages 132–134 #1, 7, 13, 23, 27, 37, 41, 43, 47, 63, 77, 85
