Adding and Subtracting Fractions and Mixed Numbers

1
Adding and Subtracting Fractions and Mixed Numbers

• Today you will learn to
• solve problems by adding and subtracting
  fractions.
• solve problems by adding and subtracting mixed
  numbers.
• M07.A-N.1.1.1, M07.A-N.1.1.2 To apply
  properties of operations to add and subtract
  rational numbers, including real-world contexts
  To represent addition and subtraction on a
  horizontal or vertical number line.

2
Warm-up Problem Adding Fractions

• Carla decided to visit New York City to do some
  site-seeing. She walked from the Empire State
  Building to the Museum of Modern Art. How far did
  she walk?

3
Review What are Fractions?
A fraction is an ordered pair of whole numbers,
the 1st one is usually written on top of the
other, such as ½ or ¾ .
numerator
denominator
The denominator tells us how many congruent
pieces the whole is divided into, thus this
number cannot be 0. The numerator tells us how
many such pieces are being considered.
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Adding and Subtracting Fractions with Common
Denominators
5
Adding and Subtracting Fractions with Different
Denominators
6
Subtracting Mixed Numbers

• Renaming
• Sometimes you may need to rename one of the
  numbers before subtracting.