Examples with solutions for Multiplication of Fractions: In combination with other operations

Exercise #1

14×(13+12)= \frac{1}{4}\times(\frac{1}{3}+\frac{1}{2})=

Video Solution

Step-by-Step Solution

According to the order of operations, we will first solve the expression in parentheses.

Note that since the denominators are not common, we will look for a number that is both divisible by 2 and 3. That is 6.

We will multiply one-third by 2 and one-half by 3, now we will get the expression:

14×(2+36)= \frac{1}{4}\times(\frac{2+3}{6})=

Let's solve the numerator of the fraction:

14×56= \frac{1}{4}\times\frac{5}{6}=

We will combine the fractions into a multiplication expression:

1×54×6=524 \frac{1\times5}{4\times6}=\frac{5}{24}

Answer

524 \frac{5}{24}

Exercise #2

14×12+38= \frac{1}{4}\times\frac{1}{2}+\frac{3}{8}=

Video Solution

Answer

12 \frac{1}{2}

Exercise #3

14×45+1120= \frac{1}{4}\times\frac{4}{5}+\frac{11}{20}=

Video Solution

Answer

34 \frac{3}{4}

Exercise #4

34×3414= \frac{3}{4}\times\frac{3}{4}-\frac{1}{4}=

Video Solution

Answer

516 \frac{5}{16}

Exercise #5

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

Video Solution

Answer

1 1

Exercise #6

45×12+310= \frac{4}{5}\times\frac{1}{2}+\frac{3}{10}=

Video Solution

Answer

710 \frac{7}{10}

Exercise #7

35×23+25= \frac{3}{5}\times\frac{2}{3}+\frac{2}{5}=

Video Solution

Answer

45 \frac{4}{5}

Exercise #8

23×13+29= \frac{2}{3}\times\frac{1}{3}+\frac{2}{9}=

Video Solution

Answer

49 \frac{4}{9}

Exercise #9

34×12+58= \frac{3}{4}\times\frac{1}{2}+\frac{5}{8}=

Video Solution

Answer

1 1

Exercise #10

44×12+38= \frac{4}{4}\times\frac{1}{2}+\frac{3}{8}=

Video Solution

Answer

78 \frac{7}{8}

Exercise #11

23×23+49= \frac{2}{3}\times\frac{2}{3}+\frac{4}{9}=

Video Solution

Answer

89 \frac{8}{9}

Exercise #12

Solve the following:

35×12+310= \frac{3}{5}\times\frac{1}{2}+\frac{3}{10}=

Video Solution

Answer

35 \frac{3}{5}