Luis uses a paper-and-pencil method to solve 2 − 1 like the one he used to add fractions. First he finds a common denominator.

2 = 2 2 − 1

He subtracts the whole numbers and then subtracts the fractions.

Ana tries a different paper-and-pencil method. First she changes each mixed number to an improper fraction.

2 = 1 =

Then she finds a common denominator and subtracts.

=

She changes the improper fraction to its simplest form.

= 1

Use the Fractions on Number Lines Chart, Fraction Chart, or Multiplication and Division Facts in the Reference section to help you find equivalent fractions.

  1. Estimate the differences. Then solve the problems using fraction circle pieces, mental math, or paper and pencil. Record your work. Check for reasonableness.
    1. 4 − 2
    2. 3 − 1
    3. 3 − 1
    4. 2 − 1
  2. Explain how you know your answer for Question 1D is reasonable.