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

Worded problemsMultiplication of signed numbersNumber of termsComplete the missing numbersFinding a Common Denominator by Multiplying the DenominatorsIn combination with other operationsVisual display of fractions with like denominatorsFractions with common denominatorsOne of the denominators is the common denominatorMore than two fractions
Question 1

\( \frac{3}{4}-\frac{1}{6}= \)

Question 2

\( \frac{5}{10}-\frac{1}{6}= \)

Question 3

Solve the following exercise:

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

Question 4

Solve the following exercise:

\( \frac{4}{5}-\frac{6}{10}=\text{?} \)

Question 5

Solve the following exercise:

\( \frac{5}{10}-\frac{2}{6}=\text{?} \)

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

Exercise #1

34−16= \frac{3}{4}-\frac{1}{6}=

Video Solution

Step-by-Step Solution

In this question, we need to find a common denominator.
However, we don't have to multiply the denominators by each other,
there is a lower common denominator: 12.

3×33×4 \frac{3\times3}{3\times4}

1×26×2 \frac{1\times2}{6\times2}

912−212=9−212=712 \frac{9}{12}-\frac{2}{12}=\frac{9-2}{12}=\frac{7}{12}

Answer

712 \frac{7}{12}

Exercise #2

510−16= \frac{5}{10}-\frac{1}{6}=

Video Solution

Step-by-Step Solution

Let's try to find the lowest common multiple between 6 and 10

To find the lowest common multiple, we need to find a number that is divisible by both 6 and 10

In this case, the lowest common multiple is 30

Now let's multiply each number by an appropriate factor to reach the multiple of 30

We will multiply the first number by 3

We will multiply the second number by 5

5×310×3−1×56×5=1530−530 \frac{5\times3}{10\times3}-\frac{1\times5}{6\times5}=\frac{15}{30}-\frac{5}{30}

Now let's subtract:

15−530=1030 \frac{15-5}{30}=\frac{10}{30}

Answer

1030 \frac{10}{30}

Exercise #3

Solve the following exercise:

35−310=? \frac{3}{5}-\frac{3}{10}=\text{?}

Video Solution

Answer

310 \frac{3}{10}

Exercise #4

Solve the following exercise:

45−610=? \frac{4}{5}-\frac{6}{10}=\text{?}

Video Solution

Answer

15 \frac{1}{5}

Exercise #5

Solve the following exercise:

510−26=? \frac{5}{10}-\frac{2}{6}=\text{?}

Video Solution

Answer

16 \frac{1}{6}

Question 1

Solve the following exercise:

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

Question 2

Solve the following exercise:

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

Question 3

Solve the following exercise:

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

Question 4

Solve the following exercise:

\( \frac{7}{10}-\frac{2}{6}=\text{?} \)

Question 5

Solve the following exercise:

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

Exercise #6

Solve the following exercise:

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

Video Solution

Answer

13 \frac{1}{3}

Exercise #7

Solve the following exercise:

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

Video Solution

Answer

14 \frac{1}{4}

Exercise #8

Solve the following exercise:

34−36=? \frac{3}{4}-\frac{3}{6}=\text{?}

Video Solution

Answer

14 \frac{1}{4}

Exercise #9

Solve the following exercise:

710−26=? \frac{7}{10}-\frac{2}{6}=\text{?}

Video Solution

Answer

1130 \frac{11}{30}

Exercise #10

Solve the following exercise:

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

Video Solution

Answer

712 \frac{7}{12}

Question 1

Solve the following exercise:

\( \frac{8}{10}-\frac{5}{12}=\text{?} \)

Question 2

Solve the following exercise:

\( \frac{7}{8}-\frac{5}{12}=\text{?} \)

Question 3

Solve the following exercise:

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

Question 4

Solve the following exercise:

\( \frac{4}{6}-\frac{3}{9}=\text{?} \)

Question 5

Solve the following exercise:

\( \frac{2}{3}-\frac{4}{9}=\text{?} \)

Exercise #11

Solve the following exercise:

810−512=? \frac{8}{10}-\frac{5}{12}=\text{?}

Video Solution

Answer

2360 \frac{23}{60}

Exercise #12

Solve the following exercise:

78−512=? \frac{7}{8}-\frac{5}{12}=\text{?}

Video Solution

Answer

1124 \frac{11}{24}

Exercise #13

Solve the following exercise:

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

Video Solution

Answer

16 \frac{1}{6}

Exercise #14

Solve the following exercise:

46−39=? \frac{4}{6}-\frac{3}{9}=\text{?}

Video Solution

Answer

13 \frac{1}{3}

Exercise #15

Solve the following exercise:

23−49=? \frac{2}{3}-\frac{4}{9}=\text{?}

Video Solution

Answer

29 \frac{2}{9}

Question 1

Solve the following exercise:

\( \frac{5}{8}-\frac{3}{10}=\text{?} \)

Question 2

Solve the following exercise:

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

Question 3

\( \frac{4}{10}-\frac{1}{4}= \)

Question 4

\( \frac{7}{10}-\frac{2}{6}= \)

Question 5

\( \)\( \frac{1}{4}-\frac{1}{6}= \)

Exercise #16

Solve the following exercise:

58−310=? \frac{5}{8}-\frac{3}{10}=\text{?}

Video Solution

Answer

1340 \frac{13}{40}

Exercise #17

Solve the following exercise:

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

Video Solution

Answer

16 \frac{1}{6}

Exercise #18

410−14= \frac{4}{10}-\frac{1}{4}=

Video Solution

Answer

320 \frac{3}{20}

Exercise #19

710−26= \frac{7}{10}-\frac{2}{6}=

Video Solution

Answer

1130 \frac{11}{30}

Exercise #20

14−16= \frac{1}{4}-\frac{1}{6}=

Video Solution

Answer

112 \frac{1}{12}