Integer division between a fraction and a mixed number - Examples, Exercises and Solutions

Whole number division by a fraction and a mixed number

Dividing whole numbers by a fraction:

1)    Convert the whole number to a fraction
2)    Convert to a multiplication problem, remembering to swap the numerator and denominator of the second fraction
3)    Solve by multiplying fractions

Whole number division by a mixed number:

1)    Convert the whole number to a fraction
2)    Convert the mixed number to an improper fraction
3)    Convert the division problem to a multiplication problem, remembering to swap the numerator and denominator of the second fraction
4)    Solve by multiplying fractions

Suggested Topics to Practice in Advance

  1. Mixed Numbers and Fractions Greater Than 1
  2. Addition and Subtraction of Mixed Numbers
  3. Multiplication of Integers by a Fraction and a Mixed Number
  4. Multiplication and Division of Mixed Numbers

Practice Integer division between a fraction and a mixed number

Exercise #1

13:3= \frac{1}{3}:3=

Video Solution

Answer

19 \frac{1}{9}

Exercise #2

12:2= \frac{1}{2}:2=

Video Solution

Answer

14 \frac{1}{4}

Exercise #3

12:3= \frac{1}{2}:3=

Video Solution

Answer

16 \frac{1}{6}

Exercise #4

12:4= \frac{1}{2}:4=

Video Solution

Answer

18 \frac{1}{8}

Exercise #5

1:14= 1:\frac{1}{4}=

Video Solution

Answer

4 4

Exercise #1

3:12= 3:\frac{1}{2}=

Video Solution

Answer

6 6

Exercise #2

1:23= 1:\frac{2}{3}=

Video Solution

Answer

112 1\frac{1}{2}

Exercise #3

23:5= \frac{2}{3}:5=

Video Solution

Answer

215 \frac{2}{15}

Exercise #4

45:2= \frac{4}{5}:2=

Video Solution

Answer

25 \frac{2}{5}

Exercise #5

34:4= \frac{3}{4}:4=

Video Solution

Answer

316 \frac{3}{16}

Exercise #1

27:3= \frac{2}{7}:3=

Video Solution

Answer

221 \frac{2}{21}

Exercise #2

47:5= \frac{4}{7}:5=

Video Solution

Answer

435 \frac{4}{35}

Exercise #3

58:2= \frac{5}{8}:2=

Video Solution

Answer

516 \frac{5}{16}

Exercise #4

35:4= \frac{3}{5}:4=

Video Solution

Answer

320 \frac{3}{20}

Exercise #5

67:2= \frac{6}{7}:2=

Video Solution

Answer

37 \frac{3}{7}

Topics learned in later sections

  1. Mixed Numbers