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 Dividing Mixed Numbers and Fractions

Examples with solutions for Dividing Mixed Numbers and Fractions

Exercise #1

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

Video Solution

Answer

18 \frac{1}{8}

Exercise #2

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

Video Solution

Answer

4 4

Exercise #3

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

Video Solution

Answer

19 \frac{1}{9}

Exercise #4

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

Video Solution

Answer

14 \frac{1}{4}

Exercise #5

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

Video Solution

Answer

16 \frac{1}{6}

Exercise #6

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

Video Solution

Answer

6 6

Exercise #7

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

Video Solution

Answer

112 1\frac{1}{2}

Exercise #8

4:68= 4:\frac{6}{8}=

Video Solution

Answer

513 5\frac{1}{3}

Exercise #9

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

Video Solution

Answer

516 \frac{5}{16}

Exercise #10

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

Video Solution

Answer

37 \frac{3}{7}

Exercise #11

7:78= 7:\frac{7}{8}=

Video Solution

Answer

8 8

Exercise #12

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

Video Solution

Answer

412 4\frac{1}{2}

Exercise #13

3:57= 3:\frac{5}{7}=

Video Solution

Answer

415 4\frac{1}{5}

Exercise #14

2:25= 2:\frac{2}{5}=

Video Solution

Answer

5 5

Exercise #15

1:34= 1:\frac{3}{4}=

Video Solution

Answer

113 1\frac{1}{3}

Topics learned in later sections

  1. Mixed Numbers