Multiplication of Unlike Fractions

Q.

A piece of wire$\frac{3}{4}m$ long was cut into three pieces. The first piece was $\frac{3}{20}m$long while the length of the second piece was$\frac{5}{3}$ of the first. How long was the third piece?

Q.

To complete a project , Pinki spent $\frac{5}{6}$hours on the first day , $\frac{3}{4}$ hours on the second day , $\frac{1}{2}$ an hour on third day and $1\frac{1}{2}$ hour on fourth day.Find the total time she spent to complete the project ?

Q.

Find the least fraction which must be multiplied to $(1\frac{2}{4}-\frac{1}{2}+3\frac{6}{16}-\frac{1}{16}+\frac{2}{8}$) to make it an integer.

1. $\frac{1}{73}$

2. $\frac{73}{1}$

3. $\frac{16}{1}$

4. $\frac{24}{1}$

Q. The product of two numbers is $15\frac{5}{6}$. If one of the numbers is $6\frac{2}{3}$, what is the other number?

1. $\frac{3}{8}$
2. $1\frac{3}{8}$
3. $2\frac{3}{8}$
4. $3\frac{3}{8}$

Q.

A tap can fill a tank of $500litres$ in $3hours30minutes$. In how much time will it fill $one-fifth$ of the tank?

Q.

Alex can solve a problem in 4 minutes. Brian can solve the same problem in ${\frac{1}{5}}^{th}$ of the time taken by Alex. How long does it take Brian to solve the problem?

1. 48s

2. 60s

3. 27s

4. 65s

Q.

The area of a square of side $\frac{3}{4}$ is

1. $\frac{3}{4}$

2. $\frac{9}{16}$

3. $\frac{4}{3}$

4. $\frac{16}{9}$

Q.

Sum of two numbers is 20 and their difference is 5. Find the difference in their squares.

1. 100

Q. Question 4
$x+7-\frac{8x}{3}=\frac{17}{6}-\frac{5x}{2}$

Q.

The sum of a number and its square is one half times their difference . Find the number

1. $x=5$

2. $x=2$

3. $x=3$

4. $x=7$

Q.

$\frac{2\frac{1}{2}+2\frac{1}{3}+2\frac{1}{4}}{\frac{1}{10}\times \frac{2}{5}\times \frac{125}{6}}$ is equal to:

1. $5.5$

2. $6.5$

3. $7.5$

4. $8.5$

Q.

Solve $3\times \frac{2}{5}$

Q.

The value of $\frac{\left(\frac{1}{2}\right)\times \left(\frac{1}{2}\right)+\left(\frac{1}{2}\right)}{\left(\frac{1}{2}\right)+\left(\frac{1}{2}\right)\times \left(\frac{3}{4}\right)}$ is 1.

1. True

2. False

Q.

In a marathon of 5 km, Manish could run for 2 km. If Kushagra ran for $\frac{1}{2}$ of the total length of the marathon, who covered more distance?

1. Kushagra

2. Manish

3. Data insufficient

4. Both covered the same distance

Q. One byte is a unit of memory size used with computers. One megabyte contains approximately ${10}^6$ bytes and Pauls computer hard-drive accesses information at a rate of $150$ megabytes per second. If Paul wants to work with $5$ files on his computer that are $2,340\times {10}^6$ bytes each, approximately how long will it take his computer to access them?

1. $15.6seconds$
2. $9seconds$
3. $1.3minutes$
4. $78minutes$

Q.

Simplify $5\frac{1}{6}+2\frac{1}{3}-5\frac{11}{12}$.

Q.

Represent $\frac{999}{13}$ in form of $a\frac{b}{13}$.The value of a is ___and b is ___.

1. a = 91and b = 11

2. a = 72 and b = 13

3. a = 76 and b = 13

4. a = 76 and b = 11

Q.

Write the fractions in increasing order?

$\frac{2}{9},\frac{7}{12},\frac{13}{20}$ and $\frac{1}{4}$

Q. If $\frac{2}{7}$ of 14 apples are spoilt, how many are left?

1. 28
2. 12
3. 10
4. 35

Q.

Choose the correct option(s):

1. 

2. 

3. 

4. 

Q.

$\frac{3}{5}\times \frac{4}{5}\times \frac{1}{2}$ is

1. $\frac{12}{25}$

2. $\frac{6}{25}$

3. $\frac{6}{50}$

4. $\frac{6}{5}$

Q.

Jaidev takes $2\frac{1}{5}$minutes to walk across the school ground. Rahul takes $\frac{7}{4}$minutes of do the same. Who takes less time and by what fraction?

Q.

$\frac{3}{8}\times \frac{4}{9}\times \frac{1}{2}$ equals

1. $\frac{1}{2}$

2. $\frac{1}{6}$

3. $\frac{1}{8}$

4. $\frac{1}{12}$

Q.

$\frac{3}{8}\times \frac{2}{7}\times \frac{8}{3}\times 3\frac{1}{2}$ equals

1. $\frac{6}{56}$

2. $\frac{4}{49}$

3. $0$

4. $1$

Q. Prove that $\frac{2n^2-3n-2}{n^2}$ can not exceed $3\frac{1}{8}$.

Q. If four apples are five mangoes, and seven mangoes are four oranges then,

1. $1$ apple = $1$ orange
2. $1$ apples = $35/16$ oranges
3. $1$ apple = $5/7$ oranges
4. $1$ apples = $16/35$ oranges

Q.

$\frac{3}{7}$ of $\frac{2}{5}$ is equal to

1. $\frac{6}{35}$

2. $\frac{1}{35}$

3. $\frac{5}{35}$

4. $\frac{5}{12}$

Q.

Anita and Divya were preparing for their exam. Anita says that $3\times 5\frac{1}{5}=\frac{78}{5}$ but Divya says $3\times 5\frac{1}{5}=\frac{76}{5}$. The correct answer was given by ___.

1. Anita

2. Divya

3. Both were correct

4. Both were wrong

Q.

$\frac{3}{7}of\frac{2}{5}isequalto$

1. 5/35

2. 1/35

3. 5/12

4. 6/35

Q.

Anita and Divya preparing for their exam.
Anita says that:
$3\times 5\frac{1}{5}=\frac{78}{5}$.
But, Divya says:
$3\times 5\frac{1}{5}=\frac{76}{5}$.
Which of them is right? ___