Addition of Fractions: The common denominator is smaller than the product of the denominators

Using fractionsMultiplication of signed numbersNumber of termsWorded problemsOne of the denominators is the common denominator in visual displayIn combination with other operationsMore than two fractionsComplete the missing numbersVisual display of fractions with like denominatorsFractions with common denominatorsFinding a Common Denominator by Multiplying the DenominatorsOne of the denominators is the common denominator
Question 1

\( \frac{4}{8}+\frac{4}{10}= \)

Question 2

Solve the following exercise:

\( \frac{1}{4}+\frac{2}{6}=\text{?} \)

Question 3

Solve the following exercise:

\( \frac{4}{8}+\frac{3}{10}=\text{?} \)

Question 4

Solve the following exercise:

\( \frac{1}{3}+\frac{4}{9}=\text{?} \)

Question 5

Solve the following exercise:

\( \frac{2}{6}+\frac{3}{9}=\text{?} \)

Examples with solutions for Addition of Fractions: The common denominator is smaller than the product of the denominators

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

Solve the following exercise:

14+26=? \frac{1}{4}+\frac{2}{6}=\text{?}

Video Solution

Answer

712 \frac{7}{12}

Exercise #3

Solve the following exercise:

48+310=? \frac{4}{8}+\frac{3}{10}=\text{?}

Video Solution

Answer

3240 \frac{32}{40}

Exercise #4

Solve the following exercise:

13+49=? \frac{1}{3}+\frac{4}{9}=\text{?}

Video Solution

Answer

79 \frac{7}{9}

Exercise #5

Solve the following exercise:

26+39=? \frac{2}{6}+\frac{3}{9}=\text{?}

Video Solution

Answer

1218 \frac{12}{18}

Question 1

Solve the following exercise:

\( \frac{2}{4}+\frac{2}{6}=\text{?} \)

Question 2

Solve the following exercise:

\( \frac{3}{8}+\frac{5}{12}=\text{?} \)

Question 3

Solve the following exercise:

\( \frac{4}{10}+\frac{5}{12}=\text{?} \)

Question 4

Solve the following exercise:

\( \frac{1}{4}+\frac{4}{6}=\text{?} \)

Question 5

Solve the following exercise:

\( \frac{4}{10}+\frac{2}{6}=\text{?} \)

Exercise #6

Solve the following exercise:

24+26=? \frac{2}{4}+\frac{2}{6}=\text{?}

Video Solution

Answer

1012 \frac{10}{12}

Exercise #7

Solve the following exercise:

38+512=? \frac{3}{8}+\frac{5}{12}=\text{?}

Video Solution

Answer

1924 \frac{19}{24}

Exercise #8

Solve the following exercise:

410+512=? \frac{4}{10}+\frac{5}{12}=\text{?}

Video Solution

Answer

4960 \frac{49}{60}

Exercise #9

Solve the following exercise:

14+46=? \frac{1}{4}+\frac{4}{6}=\text{?}

Video Solution

Answer

1112 \frac{11}{12}

Exercise #10

Solve the following exercise:

410+26=? \frac{4}{10}+\frac{2}{6}=\text{?}

Video Solution

Answer

2230 \frac{22}{30}

Question 1

Solve the following exercise:

\( \frac{2}{5}+\frac{3}{10}=\text{?} \)

Question 2

Solve the following exercise:

\( \frac{3}{4}+\frac{1}{6}=\text{?} \)

Question 3

Solve the following exercise:

\( \frac{5}{10}+\frac{1}{4}=\text{?} \)

Question 4

Solve the following exercise:

\( \frac{2}{4}+\frac{1}{6}=\text{?} \)

Question 5

Solve the following exercise:

\( \frac{5}{10}+\frac{1}{6}=\text{?} \)

Exercise #11

Solve the following exercise:

25+310=? \frac{2}{5}+\frac{3}{10}=\text{?}

Video Solution

Answer

710 \frac{7}{10}

Exercise #12

Solve the following exercise:

34+16=? \frac{3}{4}+\frac{1}{6}=\text{?}

Video Solution

Answer

1112 \frac{11}{12}

Exercise #13

Solve the following exercise:

510+14=? \frac{5}{10}+\frac{1}{4}=\text{?}

Video Solution

Answer

1520 \frac{15}{20}

Exercise #14

Solve the following exercise:

24+16=? \frac{2}{4}+\frac{1}{6}=\text{?}

Video Solution

Answer

812 \frac{8}{12}

Exercise #15

Solve the following exercise:

510+16=? \frac{5}{10}+\frac{1}{6}=\text{?}

Video Solution

Answer

2030 \frac{20}{30}

Question 1

Solve the following exercise:

\( \frac{1}{5}+\frac{7}{10}=\text{?} \)

Question 2

\( \frac{1}{4}+\frac{7}{8}= \)

Question 3

\( \frac{3}{5}+\frac{3}{10}= \)

Question 4

\( \frac{1}{4}+\frac{3}{4}= \)

Question 5

\( \frac{1}{2}+\frac{1}{6}= \)

Exercise #16

Solve the following exercise:

15+710=? \frac{1}{5}+\frac{7}{10}=\text{?}

Video Solution

Answer

910 \frac{9}{10}

Exercise #17

14+78= \frac{1}{4}+\frac{7}{8}=

Video Solution

Answer

98 \frac{9}{8}

Exercise #18

35+310= \frac{3}{5}+\frac{3}{10}=

Video Solution

Answer

910 \frac{9}{10}

Exercise #19

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

Video Solution

Answer

1 1

Exercise #20

12+16= \frac{1}{2}+\frac{1}{6}=

Video Solution

Answer

23 \frac{2}{3}