Addition of fractions - Examples, Exercises and Solutions

To add fractions, we must find the common denominator simplifying, expanding, or multiplying the denominators.
Then, you only need to add the numerators to get the result.

Practice Addition of fractions

Exercise #1

48+410= \frac{4}{8}+\frac{4}{10}=

Video Solution

Step-by-Step Solution

Let's try to find the lowest common multiple between 8 and 10

To find the lowest common multiple, we need to find a number that is divisible by both 8 and 10

In this case, the lowest common multiple is 40

Now, let's multiply each number in the appropriate multiples to reach the number 40

We will multiply the first number by 5

We will multiply the second number by 4

4×58×5+4×410×4=2040+1640 \frac{4\times5}{8\times5}+\frac{4\times4}{10\times4}=\frac{20}{40}+\frac{16}{40}

Now let's calculate:

20+1640=3640 \frac{20+16}{40}=\frac{36}{40}

Answer

3640 \frac{36}{40}

Exercise #2

45+15= \frac{4}{5}+\frac{1}{5}=

Video Solution

Answer

1 1

Exercise #3

58+18= \frac{5}{8}+\frac{1}{8}=

Video Solution

Answer

68 \frac{6}{8}

Exercise #4

38+48= \frac{3}{8}+\frac{4}{8}=

Video Solution

Answer

78 \frac{7}{8}

Exercise #5

Solve the following exercise:

12+12=? \frac{1}{2}+\frac{1}{2}=\text{?}

Video Solution

Answer

1

Exercise #1

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

Video Solution

Answer

1 1

Exercise #2

Solve the following exercise:

14+14=? \frac{1}{4}+\frac{1}{4}=\text{?}

Video Solution

Answer

24 \frac{2}{4}

Exercise #3

14+34= \frac{1}{4}+\frac{3}{4}=

Video Solution

Answer

1 1

Exercise #4

24+14= \frac{2}{4}+\frac{1}{4}=

Video Solution

Answer

34 \frac{3}{4}

Exercise #5

25+15= \frac{2}{5}+\frac{1}{5}=

Video Solution

Answer

35 \frac{3}{5}

Exercise #1

26+36= \frac{2}{6}+\frac{3}{6}=

Video Solution

Answer

56 \frac{5}{6}

Exercise #2

27+17= \frac{2}{7}+\frac{1}{7}=

Video Solution

Answer

37 \frac{3}{7}

Exercise #3

19+29= \frac{1}{9}+\frac{2}{9}=

Video Solution

Answer

13 \frac{1}{3}

Exercise #4

Solve the following exercise:

13+13=? \frac{1}{3}+\frac{1}{3}=\text{?}

Video Solution

Answer

23 \frac{2}{3}

Exercise #5

26+16= \frac{2}{6}+\frac{1}{6}=

Video Solution

Answer

36 \frac{3}{6}

Topics learned in later sections

  1. Subtraction of Fractions
  2. Multiplication of Fractions
  3. Division of Fractions
  4. Comparing Fractions
  5. Operations with Fractions