Addition and subtraction of mixed numbers - Examples, Exercises and Solutions

To add and subtract mixed numbers, we will proceed in 3 steps.

The first step:

We will convert the mixed numbers into equivalent fractions - fractions with numerator and denominator without whole numbers.

The second step:

Find a common denominator (usually by multiplying the denominators).

The third step:

We will only add or subtract the numerators. The denominator will be written once in the final result.

Suggested Topics to Practice in Advance

  1. Mixed Numbers and Fractions Greater Than 1

Practice Addition and subtraction of mixed numbers

Exercise #1

225+225= 2\frac{2}{5}+2\frac{2}{5}=

Video Solution

Answer

445 4\frac{4}{5}

Exercise #2

626+126= 6\frac{2}{6}+1\frac{2}{6}=

Video Solution

Answer

746 7\frac{4}{6}

Exercise #3

525+215= 5\frac{2}{5}+2\frac{1}{5}=

Video Solution

Answer

735 7\frac{3}{5}

Exercise #4

101212= 10\frac{1}{2}-\frac{1}{2}=

Video Solution

Answer

10 10

Exercise #5

213123= 2\frac{1}{3}-1\frac{2}{3}=

Video Solution

Answer

23 \frac{2}{3}

Exercise #1

1323313= 13\frac{2}{3}-3\frac{1}{3}=

Video Solution

Answer

1013 10\frac{1}{3}

Exercise #2

6+523= 6+5\frac{2}{3}=

Video Solution

Answer

1123 11\frac{2}{3}

Exercise #3

412212= 4\frac{1}{2}-2\frac{1}{2}=

Video Solution

Answer

2 2

Exercise #4

212= 2-\frac{1}{2}=

Video Solution

Answer

112 1\frac{1}{2}

Exercise #5

1+212= 1+2\frac{1}{2}=

Video Solution

Answer

312 3\frac{1}{2}

Exercise #1

714324= 7\frac{1}{4}-3\frac{2}{4}=

Video Solution

Answer

334 3\frac{3}{4}

Exercise #2

314+124= 3\frac{1}{4}+1\frac{2}{4}=

Video Solution

Answer

434 4\frac{3}{4}

Exercise #3

2+337= 2+3\frac{3}{7}=

Video Solution

Answer

537 5\frac{3}{7}

Exercise #4

7+213= 7+2\frac{1}{3}=

Video Solution

Answer

913 9\frac{1}{3}

Exercise #5

123113= 1\frac{2}{3}-1\frac{1}{3}=

Video Solution

Answer

13 \frac{1}{3}

Topics learned in later sections

  1. Multiplication of Integers by a Fraction and a Mixed Number
  2. Multiplication and Division of Mixed Numbers
  3. Dividing Whole Numbers by Fractions and Mixed Numbers
  4. Mixed Numbers