Examples with solutions for Multiplication of Fractions: Solving the problem

Exercise #1

14×45= \frac{1}{4}\times\frac{4}{5}=

Video Solution

Step-by-Step Solution

To multiply fractions, we multiply numerator by numerator and denominator by denominator

1*4 = 4

4*5 = 20

4/20

Note that we can simplify this fraction by 4

4/20 = 1/5

Answer

15 \frac{1}{5}

Exercise #2

44×12= \frac{4}{4}\times\frac{1}{2}=

Video Solution

Step-by-Step Solution

When we have a multiplication of fractions, we multiply numerator by numerator and denominator by denominator:

4*1 = 4
4*2 8

We can reduce the result, so we get:

4:4 = 1
8:4 2

And thus we arrived at the result, one half.

Similarly, we can see that the first fraction (4/4) is actually 1, because when the numerator and denominator are equal it means the fraction equals 1,
and since we know that any number multiplied by 1 remains the same number, we can conclude that the solution remains one half.

Answer

12 \frac{1}{2}

Exercise #3

Solve the following exercise:

32×1×13= ? \frac{3}{2}\times1\times\frac{1}{3}=\text{ ?}

Video Solution

Step-by-Step Solution

According to the order of operations, we must solve the exercise from left to right since it contains only multiplication operations:

32×1=32 \frac{3}{2}\times1=\frac{3}{2}

32×13= \frac{3}{2}\times\frac{1}{3}=

Then, we will multiply the 3 by 3 to get:

12×1=12 \frac{1}{2}\times1=\frac{1}{2}

Answer

12 1\over2

Exercise #4

14×12= \frac{1}{4}\times\frac{1}{2}=

Video Solution

Answer

18 \frac{1}{8}

Exercise #5

34×12= \frac{3}{4}\times\frac{1}{2}=

Video Solution

Answer

38 \frac{3}{8}

Exercise #6

16×13= \frac{1}{6}\times\frac{1}{3}=

Video Solution

Answer

118 \frac{1}{18}

Exercise #7

14×32= \frac{1}{4}\times\frac{3}{2}=

Video Solution

Answer

38 \frac{3}{8}

Exercise #8

23×57= \frac{2}{3}\times\frac{5}{7}=

Video Solution

Answer

1021 \frac{10}{21}

Exercise #9

35×12= \frac{3}{5}\times\frac{1}{2}=

Video Solution

Answer

310 \frac{3}{10}

Exercise #10

34×12= \frac{3}{4}\times\frac{1}{2}=

Video Solution

Answer

38 \frac{3}{8}

Exercise #11

13×47= \frac{1}{3}\times\frac{4}{7}=

Video Solution

Answer

421 \frac{4}{21}

Exercise #12

25×12= \frac{2}{5}\times\frac{1}{2}=

Video Solution

Answer

15 \frac{1}{5}

Exercise #13

24×45= \frac{2}{4}\times\frac{4}{5}=

Video Solution

Answer

25 \frac{2}{5}

Exercise #14

23×14= \frac{2}{3}\times\frac{1}{4}=

Video Solution

Answer

16 \frac{1}{6}

Exercise #15

24×12= \frac{2}{4}\times\frac{1}{2}=

Video Solution

Answer

14 \frac{1}{4}

Exercise #16

23×34= \frac{2}{3}\times\frac{3}{4}=

Video Solution

Answer

12 \frac{1}{2}

Exercise #17

68×56= \frac{6}{8}\times\frac{5}{6}=

Video Solution

Answer

58 \frac{5}{8}

Exercise #18

16×23= \frac{1}{6}\times\frac{2}{3}=

Video Solution

Answer

19 \frac{1}{9}

Exercise #19

27×35= \frac{2}{7}\times\frac{3}{5}=

Video Solution

Answer

635 \frac{6}{35}

Exercise #20

78×46= \frac{7}{8}\times\frac{4}{6}=

Video Solution

Answer

712 \frac{7}{12}