Division of Fractions

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

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

Q. What is the value when 7 is divided by its reciprocal ?

1. 1
2. 1/7
3. 7
4. 49

Q.

Solve: $\frac{9}{11}-\frac{4}{15}$

Q. What should be subtracted from $\frac{-2}{3}$ to get $\frac{5}{6}$?

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

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

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

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

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

Q.

Question 1 (i)

Find
$12÷\frac{3}{4}$

Q.

Find: $\left(\frac{4}{9}\right)÷\left(\frac{2}{3}\right)$

Q.

If in $∆ABC$, $\frac{(b+c)}{11}=\frac{(c+a)}{12}=\frac{(a+b)}{13}$, then $\cos A$ is equal to:

1. $\frac{1}{5}$

2. $\frac{5}{7}$

3. $\frac{19}{35}$

4. None of these

Q.

Question 112

Rita has bought a carpet of size $4m\times 6\frac{2}{3}m$. But her room size is $3\frac{1}{3}m\times 5\frac{1}{3}$, what fraction of the area should be cut - off to fit wall to wall carpet into the room?

Q.

Find: $2\frac{1}{3}÷\frac{3}{5}$

Q.

A person bought $3\frac{1}{2}kg$ of apples, $2\frac{2}{3}kg$ of grapes and $1\frac{1}{3}kg$ of oranges. He wants to divide them among $4$ people. Find the amount of fruits(in kg) that each person will receive.

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

2. $1\frac{5}{8}kg$

3. $1\frac{7}{8}kg$

4. $2\frac{7}{8}kg$

Q.

Find the reciprocal of $2$.

Q.

A man spent $\frac{3}{5}$ of his income and still has $₹1500$ left with him. What is his income ?

1. $₹3750$

2. $₹3570$

3. $₹4750$

4. $₹2750$

Q.

If the cost of $5\frac{2}{5}$ litres of milk is $101\frac{1}{4}$, what is its cost per litre ?

1. $₹18\frac{3}{4}$

2. $₹17\frac{3}{4}$

3. $₹16\frac{3}{4}$

4. $₹15\frac{3}{4}$

Q.

Question 102

Ravi can walk 3 $\frac{1}{3}$ km in one hour. How long will it take him to walk to his office which is 10 km from his home?

Q.

Question 4 (iv)

Find the value of:
$\frac{-1}{8}÷\frac{3}{4}$

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 relay race covers $1\frac{1}{2}$ kilometers, and each runner on a team will run $\frac{1}{4}$ of a kilometer. How many runners are needed for the race?

1. 2
2. 3
3. 4
4. 6

Q.

There are $5$ letters and $5$different envelopes. The number of ways in which all the letters can be put in wrong envelope, is

1. $119$

2. $44$

3. $59$

4. $40$

Q. Question 4(vii)
Find
$3\frac{1}{5}÷1\frac{2}{3}$

Q.

Question 3(vi)
Find
$4\frac{3}{7}÷7$

Q.

A number is subtracted from $\frac{2}{5}$ and the difference is multiplied by $10$, the result is $-16$, find the number.

Q. Darshan purchased 5 kg of apples out of which ${\frac{1}{4}}^{\text{th}}$ were found rotten. If the remaining apples were divided among 4 people, including Darshan, then the fraction of apples that Darshan got equals __.

1. $\frac{5}{4}$
2. $\frac{15}{4}$
3. $\frac{15}{16}$
4. $\frac{4}{15}$

Q. What is the reciprocal of 3/2 divided by 1/4?

1. 6
2. 1/6
3. 3/8
4. 8

Q. Question 3(iii)
Find
$\frac{6}{13}÷7$

Q.

Shubham painted $\frac{2}{3}$ of the wall space in his room. His sister Madhavi helped and painted$\frac{1}{3}$of the wall space. How much did they paint together?

Q.

Question 3(v)
Find
$3\frac{1}{2}÷4$

Q.

Find $\frac{1}{4}$ of $\frac{1}{4}$

Q.

Question 81 (ii)

Simplify: $\frac{6}{5}\times \frac{3}{7}-\frac{1}{5}\times \frac{3}{7}$.

Q.

What is the reciprocal of $1\frac{3}{4}$?