Examples with solutions for Addition of Fractions: Fractions with common denominators

Exercise #1

5+323= \frac{5+3-2}{3}=

Video Solution

Step-by-Step Solution

Let's focus on the fraction of the fraction.
According to the order of operations rules, we'll solve from left to right, since it only contains addition and subtraction operations:

5+3=8 5+3=8

82=6 8-2=6

Now we'll get the fraction:

63 \frac{6}{3}

We'll reduce the numerator and denominator by 3 and get:

21=2 \frac{2}{1}=2

Answer

2 2

Exercise #2

311+711= \frac{3}{11}+\frac{7}{11}=

Video Solution

Answer

1011 \frac{10}{11}

Exercise #3

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

Video Solution

Answer

1 1

Exercise #4

23+13= \frac{2}{3}+\frac{1}{3}=

Video Solution

Answer

1 1

Exercise #5

Solve the following exercise:

313+713=? \frac{3}{13}+\frac{7}{13}=\text{?}

Video Solution

Answer

1013 \frac{10}{13}

Exercise #6

112+712= \frac{1}{12}+\frac{7}{12}=

Video Solution

Answer

812 \frac{8}{12}

Exercise #7

Solve the following exercise:

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

Video Solution

Answer

23 \frac{2}{3}

Exercise #8

47+17= \frac{4}{7}+\frac{1}{7}=

Video Solution

Answer

57 \frac{5}{7}

Exercise #9

17+57= \frac{1}{7}+\frac{5}{7}=

Video Solution

Answer

67 \frac{6}{7}

Exercise #10

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

Video Solution

Answer

35 \frac{3}{5}

Exercise #11

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

Video Solution

Answer

56 \frac{5}{6}

Exercise #12

17+37= \frac{1}{7}+\frac{3}{7}=

Video Solution

Answer

47 \frac{4}{7}

Exercise #13

39+29= \frac{3}{9}+\frac{2}{9}=

Video Solution

Answer

59 \frac{5}{9}

Exercise #14

110+210= \frac{1}{10}+\frac{2}{10}=

Video Solution

Answer

310 \frac{3}{10}

Exercise #15

Solve the following exercise:

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

Video Solution

Answer

1

Exercise #16

Solve the following exercise:

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

Video Solution

Answer

34 \frac{3}{4}

Exercise #17

Solve the following exercise:

25+25=? \frac{2}{5}+\frac{2}{5}=\text{?}

Video Solution

Answer

45 \frac{4}{5}

Exercise #18

Solve the following exercise:

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

Video Solution

Answer

35 \frac{3}{5}

Exercise #19

37+17= \frac{3}{7}+\frac{1}{7}=

Video Solution

Answer

47 \frac{4}{7}

Exercise #20

Solve the following exercise:

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

Video Solution

Answer

39 \frac{3}{9}