Bookmark and Share

Division of Fractions and Mixed Numbers

This topic covers the division of fractions and mixed numbers using reciprocal of a number.

Topic: Reciprocal

  • If we invert a fraction by switching the numerator and denominator, we form the reciprocal of the fraction.

    For example, reciprocal of 3/4 is 4/3

  • The product of a number and its reciprocal is 1.

    For example,
    3/4 x 4/3 = 1

Topic: Divide Fractions and Mixed Numbers

  • Dividing by a number is the same as multiplying by its reciprocal. For example,
    (3/4)/(1/2) = (3/4) x (2/1)

  • To simplify, cancel the common factors.

    For example,
    (3/4) x (2/1) = (3/2) x (1/1)

  • To write a fraction in the simplest form, cancel the common factors
Other Resources
View all concepts
Smartest Way to Practice Math
TenMarks is the smartest way to practice and learn math online. Experience our interactive worksheets that engage students.
Personalized program, mapped to state standards
Interactive worksheets with hints and video lessons
Rewards and certificates motivate students
Only $10 a month
TenMarks - Experience