Examples with solutions for Subtraction of Fractions: One of the denominators is the common denominator

Exercise #1

Solve the following equation:

35310= \frac{3}{5}-\frac{3}{10}=

Video Solution

Step-by-Step Solution

Let's begin by identifying the lowest common denominator between 5 and 10.

In order to determine the lowest common denominator, we need to find a number that is divisible by both 5 and 10.

In this case, the common denominator is 10.

Let's proceed to multiply each fraction by the appropriate number to reach the denominator 10.

We'll multiply the first fraction by 2

We'll multiply the second fraction by 1

3×25×23×110×1=610310 \frac{3\times2}{5\times2}-\frac{3\times1}{10\times1}=\frac{6}{10}-\frac{3}{10}

Finally let's subtract as follows:

6310=310 \frac{6-3}{10}=\frac{3}{10}

Answer

310 \frac{3}{10}

Exercise #2

Solve the following equation:

45510= \frac{4}{5}-\frac{5}{10}=

Video Solution

Step-by-Step Solution

Let's begin by determining the lowest common denominator between 5 and 10.

In order to identify the lowest common denominator, we must find a number that is divisible by both 5 and 10.

In this case, the common denominator is 10

Let's proceed to multiply each fraction by the appropriate number in order to reach the denominator 10.

We'll multiply the first fraction by 2

We'll multiply the second fraction by 1

4×25×25×110×1=810510 \frac{4\times2}{5\times2}-\frac{5\times1}{10\times1}=\frac{8}{10}-\frac{5}{10}

Finally let's subtract as follows:

8510=310 \frac{8-5}{10}=\frac{3}{10}

Answer

310 \frac{3}{10}

Exercise #3

Solve the following equation:

45310= \frac{4}{5}-\frac{3}{10}=

Video Solution

Step-by-Step Solution

Let's begin by identifying the lowest common denominator between 5 and 10.

In order to determine the lowest common denominator, we must find a number that is divisible by both 5 and 10.

In this case, the common denominator is 10.

Now let's proceed to multiply each fraction by the appropriate number to reach the denominator 10.

We'll multiply the first fraction by 2

We'll multiply the second fraction by 1

4×25×23×110×1=810310 \frac{4\times2}{5\times2}-\frac{3\times1}{10\times1}=\frac{8}{10}-\frac{3}{10}

Finally let's subtract as follows:

8310=510 \frac{8-3}{10}=\frac{5}{10}

Answer

510 \frac{5}{10}

Exercise #4

Solve the following exercise:

2319=? \frac{2}{3}-\frac{1}{9}=\text{?}

Video Solution

Answer

59 \frac{5}{9}

Exercise #5

Solve the following exercise:

5438=? \frac{5}{4}-\frac{3}{8}=\text{?}

Video Solution

Answer

78 \frac{7}{8}

Exercise #6

Solve the following exercise:

3438=? \frac{3}{4}-\frac{3}{8}=\text{?}

Video Solution

Answer

38 \frac{3}{8}

Exercise #7

Solve the following exercise:

1228=? \frac{1}{2}-\frac{2}{8}=\text{?}

Video Solution

Answer

14 \frac{1}{4}

Exercise #8

Solve the following exercise:

1214=? \frac{1}{2}-\frac{1}{4}=\text{?}

Video Solution

Answer

14 \frac{1}{4}

Exercise #9

Solve the following exercise:

1418=? \frac{1}{4}-\frac{1}{8}=\text{?}

Video Solution

Answer

18 \frac{1}{8}

Exercise #10

Solve the following exercise:

12210=? \frac{1}{2}-\frac{2}{10}=\text{?}

Video Solution

Answer

310 \frac{3}{10}

Exercise #11

Solve the following exercise:

35615=? \frac{3}{5}-\frac{6}{15}=\text{?}

Video Solution

Answer

15 \frac{1}{5}

Exercise #12

Solve the following exercise:

56712=? \frac{5}{6}-\frac{7}{12}=\text{?}

Video Solution

Answer

14 \frac{1}{4}

Exercise #13

Solve the following exercise:

34512=? \frac{3}{4}-\frac{5}{12}=\text{?}

Video Solution

Answer

13 \frac{1}{3}

Exercise #14

Solve the following exercise:

2316=? \frac{2}{3}-\frac{1}{6}=\text{?}

Video Solution

Answer

12 \frac{1}{2}

Exercise #15

Solve the following exercise:

35510=? \frac{3}{5}-\frac{5}{10}=\text{?}

Video Solution

Answer

110 \frac{1}{10}

Exercise #16

Solve the following exercise:

1316=? \frac{1}{3}-\frac{1}{6}=\text{?}

Video Solution

Answer

16 \frac{1}{6}

Exercise #17

Solve the following exercise:

2329=? \frac{2}{3}-\frac{2}{9}=\text{?}

Video Solution

Answer

49 \frac{4}{9}

Exercise #18

Solve the following exercise:

5814=? \frac{5}{8}-\frac{1}{4}=\text{?}

Video Solution

Answer

38 \frac{3}{8}