Subtracting fractions with like denominators

Subtracting fractions with like denominators

In this section, we will subtract fractions with like denominators using subtraction statements. When subtracting fractions with like denominators, we subtract the numerators; however, the denominators stay the same. As shown in section on adding fractions with like denominators, we will write our answers in lowest terms by first finding the greatest common factor (GCF) of both the numerator and denominator and then dividing both the numerator and denominator by this GCF.

Lessons

  • 1.
    How to simplify fractions?
    a)
    Method A: Simplify by using greatest common factors

    b)
    Method B: Simplify by using common factors


  • 2.
    Subtract. Then, simplify when possible.
    a)
    6878\frac{6}{8}-\frac{7}{8}

    b)
    1011911\frac{10}{11}-\frac{9}{11}

    c)
    1 - 1224\frac{12}{24}


  • 3.
    Marry is swimming 200m of freestyle at a competition. She still has 710\frac{7}{10} of the race to go. If she swims 210\frac{2}{10} more of the race, will she be halfway through? Show your work.

  • 4.
    Teresa and Maggie buy a bag of chips at the store. Teresa eats 29\frac{2}{9} of the bag and Maggie eats 59\frac{5}{9} of the bag. How much of the bag is left?