Examples with solutions for Common Denominators: More than two fractions

Exercise #1

2316612= \frac{2}{3}-\frac{1}{6}-\frac{6}{12}=

Video Solution

Step-by-Step Solution

Let's try to find the lowest common multiple of 3, 6 and 12

To find the lowest common multiple, we find a number that is divisible by 3, 6 and 12

In this case, the common multiple is 12

Now let's multiply each number in the appropriate multiple to reach the multiple of 12

We will multiply the first number by 4

We will multiply the second number by 2

We will multiply the third number by 1

2×43×41×26×26×112×1=812212612 \frac{2\times4}{3\times4}-\frac{1\times2}{6\times2}-\frac{6\times1}{12\times1}=\frac{8}{12}-\frac{2}{12}-\frac{6}{12}

Now let's subtract:

82612=6612=012 \frac{8-2-6}{12}=\frac{6-6}{12}=\frac{0}{12}

We will divide the numerator and the denominator by 0 and get:

012=0 \frac{0}{12}=0

Answer

0 0

Exercise #2

81015210= \frac{8}{10}-\frac{1}{5}-\frac{2}{10}=

Video Solution

Answer

410 \frac{4}{10}

Exercise #3

5624112= \frac{5}{6}-\frac{2}{4}-\frac{1}{12}=

Video Solution

Answer

312 \frac{3}{12}

Exercise #4

41015110= \frac{4}{10}-\frac{1}{5}-\frac{1}{10}=

Video Solution

Answer

110 \frac{1}{10}

Exercise #5

8521523= \frac{8}{5}-\frac{2}{15}-\frac{2}{3}=

Video Solution

Answer

45 \frac{4}{5}

Exercise #6

7521523= \frac{7}{5}-\frac{2}{15}-\frac{2}{3}=

Video Solution

Answer

35 \frac{3}{5}

Exercise #7

4521015= \frac{4}{5}-\frac{2}{10}-\frac{1}{5}=

Video Solution

Answer

410 \frac{4}{10}

Exercise #8

2316312= \frac{2}{3}-\frac{1}{6}-\frac{3}{12}=

Video Solution

Answer

14 \frac{1}{4}

Exercise #9

426814= \frac{4}{2}-\frac{6}{8}-\frac{1}{4}=

Video Solution

Answer

1 1

Exercise #10

5624312= \frac{5}{6}-\frac{2}{4}-\frac{3}{12}=

Video Solution

Answer

112 \frac{1}{12}

Exercise #11

10122316= \frac{10}{12}-\frac{2}{3}-\frac{1}{6}=

Video Solution

Answer

0 0

Exercise #12

23+21545= \frac{2}{3}+\frac{2}{15}-\frac{4}{5}=

Video Solution

Answer

0 0

Exercise #13

1238+24= \frac{1}{2}-\frac{3}{8}+\frac{2}{4}=

Video Solution

Answer

58 \frac{5}{8}

Exercise #14

3613112= \frac{3}{6}-\frac{1}{3}-\frac{1}{12}=

Video Solution

Answer

112 \frac{1}{12}

Exercise #15

3511015= \frac{3}{5}-\frac{1}{10}-\frac{1}{5}=

Video Solution

Answer

310 \frac{3}{10}

Exercise #16

325814= \frac{3}{2}-\frac{5}{8}-\frac{1}{4}=

Video Solution

Answer

58 \frac{5}{8}

Exercise #17

4613112= \frac{4}{6}-\frac{1}{3}-\frac{1}{12}=

Video Solution

Answer

14 \frac{1}{4}

Exercise #18

13+71525= \frac{1}{3}+\frac{7}{15}-\frac{2}{5}=

Video Solution

Answer

25 \frac{2}{5}

Exercise #19

10121326= \frac{10}{12}-\frac{1}{3}-\frac{2}{6}=

Video Solution

Answer

16 \frac{1}{6}