Dividing fractions and mixed numbers

Dividing fractions and mixed numbers

In this section, we will use diagrams to divide fractions and mixed numbers (a.k.a. compound fractions) for the purpose of helping you getting a better understanding about the concepts of fraction division. We will also teach you how to divide fractions by using multiplications.

Lessons

  • 1.
    a)
    Simplify fractions: Method A - By using greatest common factors

    b)
    Simplify fractions: Method B - By using common factors

    c)
    How to divide fractions with fractions?

    d)
    How to do cross-cancelling?

    e)
    How to convert between mixed numbers and improper fractions?


  • 2.
    Find each of the following quotient by using diagrams.
    a)
    56÷34\frac{5}{6} \div \frac{3}{4}

    b)
    213÷182\frac{1}{3} \div \frac{1}{8}

    c)
    75÷12\frac{7}{5} \div \frac{1}{2}


  • 3.
    Find each quotient by using multiplication.
    a)
    58÷14\frac{5}{8} \div \frac{1}{4}

    b)
    2÷352 \div \frac{3}{5}

    c)
    327÷19103\frac{2}{7} \div 1\frac{9}{{10}}


  • 4.
    Three cups of water can fill up 23\frac{2}{3} of a kettle. How many cups of water are required to fill up 5 kettles?