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

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

Video Solution

Answer

1 1

Exercise #3

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

Video Solution

Answer

1011 \frac{10}{11}

Exercise #4

68+18= \frac{6}{8}+\frac{1}{8}=

Video Solution

Answer

78 \frac{7}{8}

Exercise #5

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

Video Solution

Answer

812 \frac{8}{12}

Exercise #6

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

Video Solution

Answer

310 \frac{3}{10}

Exercise #7

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

Video Solution

Answer

67 \frac{6}{7}

Exercise #8

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

Video Solution

Answer

57 \frac{5}{7}

Exercise #9

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

Video Solution

Answer

47 \frac{4}{7}

Exercise #10

28+38= \frac{2}{8}+\frac{3}{8}=

Video Solution

Answer

58 \frac{5}{8}

Exercise #11

28+48= \frac{2}{8}+\frac{4}{8}=

Video Solution

Answer

68 \frac{6}{8}

Exercise #12

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

Video Solution

Answer

59 \frac{5}{9}

Exercise #13

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

Video Solution

Answer

1 1

Exercise #14

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

Video Solution

Answer

35 \frac{3}{5}

Exercise #15

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

Video Solution

Answer

47 \frac{4}{7}

Exercise #16

Solve the following exercise:

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

Video Solution

Answer

35 \frac{3}{5}

Exercise #17

Solve the following exercise:

47+27=? \frac{4}{7}+\frac{2}{7}=\text{?}

Video Solution

Answer

67 \frac{6}{7}

Exercise #18

Solve the following exercise:

411+511=? \frac{4}{11}+\frac{5}{11}=\text{?}

Video Solution

Answer

911 \frac{9}{11}

Exercise #19

Solve the following exercise:

47+37=? \frac{4}{7}+\frac{3}{7}=\text{?}

Video Solution

Answer

1

Exercise #20

Solve the following exercise:

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

Video Solution

Answer

1013 \frac{10}{13}