All Operations in Fractions: More than two fractions

Complete the missing numbersMultiplication by a reciprocalThe common denominator is smaller than the product of the denominatorsFinding a Common Denominator by Multiplying the DenominatorsIn combination with other operations
Question 1

\( \frac{2}{3}+\frac{2}{15}-\frac{4}{5}= \)

Question 2

\( \frac{1}{3}+\frac{7}{15}-\frac{2}{5}= \)

Question 3

\( \frac{3}{4}\times\frac{1}{2}\times\frac{1}{2}= \)

Question 4

\( \frac{2}{5}\times\frac{1}{2}\times\frac{2}{3}= \)

Question 5

\( \frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}= \)

Examples with solutions for All Operations in Fractions: More than two fractions

Exercise #1

23+215−45= \frac{2}{3}+\frac{2}{15}-\frac{4}{5}=

Video Solution

Step-by-Step Solution

Let's try to find the lowest common denominator between 3, 15, and 5

To find the lowest common denominator, we need to find a number that is divisible by 3, 15, and 5

In this case, the common denominator is 15

Now we'll multiply each fraction by the appropriate number to reach the denominator 15

We'll multiply the first fraction by 5

We'll multiply the second fraction by 1

We'll multiply the third fraction by 3

2×53×5+2×115×1−4×35×3=1015+215−1215 \frac{2\times5}{3\times5}+\frac{2\times1}{15\times1}-\frac{4\times3}{5\times3}=\frac{10}{15}+\frac{2}{15}-\frac{12}{15}

Now we'll add and then subtract:

10+2−1215=12−1215=015 \frac{10+2-12}{15}=\frac{12-12}{15}=\frac{0}{15}

We'll divide both the numerator and denominator by 0 and get:

015=0 \frac{0}{15}=0

Answer

0 0

Exercise #2

13+715−25= \frac{1}{3}+\frac{7}{15}-\frac{2}{5}=

Video Solution

Step-by-Step Solution

Let's try to find the lowest common denominator between 3, 15, and 5

To find the lowest common denominator, we need to find a number that is divisible by 3, 15, and 5

In this case, the common denominator is 15

Now we'll multiply each fraction by the appropriate number to reach the denominator 15

We'll multiply the first fraction by 5

We'll multiply the second fraction by 1

We'll multiply the third fraction by 3

1×53×5+7×115×1−2×35×3=515+715−615 \frac{1\times5}{3\times5}+\frac{7\times1}{15\times1}-\frac{2\times3}{5\times3}=\frac{5}{15}+\frac{7}{15}-\frac{6}{15}

Now we'll add and then subtract:

5+7−615=12−615=615 \frac{5+7-6}{15}=\frac{12-6}{15}=\frac{6}{15}

We'll divide both numerator and denominator by 3 and get:

6:315:3=25 \frac{6:3}{15:3}=\frac{2}{5}

Answer

25 \frac{2}{5}

Exercise #3

34×12×12= \frac{3}{4}\times\frac{1}{2}\times\frac{1}{2}=

Video Solution

Answer

316 \frac{3}{16}

Exercise #4

25×12×23= \frac{2}{5}\times\frac{1}{2}\times\frac{2}{3}=

Video Solution

Answer

215 \frac{2}{15}

Exercise #5

23×34×45= \frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}=

Video Solution

Answer

25 \frac{2}{5}

Question 1

\( \frac{2}{3}\times\frac{1}{2}\times\frac{4}{5}= \)

Question 2

\( \frac{3}{4}\times\frac{1}{2}\times\frac{1}{6}= \)

Question 3

\( \frac{2}{4}\times\frac{2}{3}\times\frac{1}{2}= \)

Question 4

\( \frac{5}{4}\times\frac{1}{2}\times\frac{3}{6}= \)

Question 5

\( \frac{1}{4}\times\frac{4}{3}\times\frac{3}{2}= \)

Exercise #6

23×12×45= \frac{2}{3}\times\frac{1}{2}\times\frac{4}{5}=

Video Solution

Answer

415 \frac{4}{15}

Exercise #7

34×12×16= \frac{3}{4}\times\frac{1}{2}\times\frac{1}{6}=

Video Solution

Answer

348 \frac{3}{48}

Exercise #8

24×23×12= \frac{2}{4}\times\frac{2}{3}\times\frac{1}{2}=

Video Solution

Answer

16 \frac{1}{6}

Exercise #9

54×12×36= \frac{5}{4}\times\frac{1}{2}\times\frac{3}{6}=

Video Solution

Answer

516 \frac{5}{16}

Exercise #10

14×43×32= \frac{1}{4}\times\frac{4}{3}\times\frac{3}{2}=

Video Solution

Answer

12 \frac{1}{2}

Question 1

\( \frac{1}{3}\times\frac{2}{4}\times\frac{7}{5}= \)

Question 2

\( \frac{4}{3}\times\frac{1}{2}\times\frac{6}{5}= \)

Question 3

Solve the following exercise:

\( \frac{4}{5}-\frac{3}{10}-\frac{1}{5}=\text{?} \)

Question 4

Solve the following exercise:

\( \frac{5}{6}-\frac{1}{3}-\frac{2}{12}=\text{?} \)

Question 5

Solve the following exercise:

\( \frac{1}{2}-\frac{1}{8}-\frac{1}{4}=\text{?} \)

Exercise #11

13×24×75= \frac{1}{3}\times\frac{2}{4}\times\frac{7}{5}=

Video Solution

Answer

730 \frac{7}{30}

Exercise #12

43×12×65= \frac{4}{3}\times\frac{1}{2}\times\frac{6}{5}=

Video Solution

Answer

45 \frac{4}{5}

Exercise #13

Solve the following exercise:

45−310−15=? \frac{4}{5}-\frac{3}{10}-\frac{1}{5}=\text{?}

Video Solution

Answer

310 \frac{3}{10}

Exercise #14

Solve the following exercise:

56−13−212=? \frac{5}{6}-\frac{1}{3}-\frac{2}{12}=\text{?}

Video Solution

Answer

13 \frac{1}{3}

Exercise #15

Solve the following exercise:

12−18−14=? \frac{1}{2}-\frac{1}{8}-\frac{1}{4}=\text{?}

Video Solution

Answer

18 \frac{1}{8}

Question 1

Solve the following exercise:

\( \frac{1}{2}-\frac{1}{6}-\frac{3}{12}=\text{?} \)

Question 2

Solve the following exercise:

\( \frac{11}{12}-\frac{1}{3}-\frac{1}{6}=\text{?} \)

Question 3

Solve the following exercise:

\( \frac{9}{10}-\frac{1}{5}-\frac{4}{10}=\text{?} \)

Question 4

Solve the following exercise:

\( \frac{5}{6}-\frac{1}{4}-\frac{3}{12}=\text{?} \)

Question 5

Solve the following exercise:

\( \frac{3}{2}-\frac{3}{8}-\frac{1}{4}=\text{?} \)

Exercise #16

Solve the following exercise:

12−16−312=? \frac{1}{2}-\frac{1}{6}-\frac{3}{12}=\text{?}

Video Solution

Answer

112 \frac{1}{12}

Exercise #17

Solve the following exercise:

1112−13−16=? \frac{11}{12}-\frac{1}{3}-\frac{1}{6}=\text{?}

Video Solution

Answer

512 \frac{5}{12}

Exercise #18

Solve the following exercise:

910−15−410=? \frac{9}{10}-\frac{1}{5}-\frac{4}{10}=\text{?}

Video Solution

Answer

310 \frac{3}{10}

Exercise #19

Solve the following exercise:

56−14−312=? \frac{5}{6}-\frac{1}{4}-\frac{3}{12}=\text{?}

Video Solution

Answer

512 \frac{5}{12}

Exercise #20

Solve the following exercise:

32−38−14=? \frac{3}{2}-\frac{3}{8}-\frac{1}{4}=\text{?}

Video Solution

Answer

78 \frac{7}{8}