Division of Unlike Fractions

Q.

What is the reciprocal of $\frac{-2}{3}$?

Q.

Find the value of 1/a+1/b

Q. The value of 2+7/5. Is ?

Q.

If $p\left(x\right)=x+3$, then find the value of $p\left(x\right)+p(-x)$

Q. Question 3 (ii)
Multiply the following fractions
$6\frac{2}{5}\times \frac{7}{9}$

Q.

If a + b = 8 and a - b = 2, then the value of 2a² + 2b² is

1. 68

2. 70

3. 60

4. 58

Q. ^{if p (x)=x+4, then p (x)+p(-x)=?}

Q.

If a + b = 1 and a - b = 7, then the value of 5(a² + b²) is

1. 25

2. 125

3. 35

4. 50

Q.

If 2:9 :: x:27 then find the value of x.

1. 4

2. 6

3. 8

4. 10

Q.

A badminton player won 6 games and lost 4. What fraction of the games did he win?

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

2. $\frac{6}{10}$

3. $\frac{5}{10}$

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

Q.

If p(x) = 7 - 3x + 2x² then value of p(-2) is:

1. 21

2. 31

3. 12

4. 22

Q.

A person bought $3\frac{1}{2}$kg apples, $2\frac{6}{9}$kg of grapes and $1\frac{5}{8}$kg oranges. He wants to divide them among $4$ people. Find the amount (in kg) each person will receive.

1. $\frac{273}{288}$

2. $1\frac{273}{288}$

3. $1\frac{288}{273}$

4. $\frac{288}{273}$

Q.

Simplify the following expression :

$\frac{\frac{1}{2}\times (0\times (\frac{696}{142}\times \frac{989}{789}\times \frac{456}{989}\times \frac{142}{696}\left)\right)+\frac{5}{6}\times 9\times 0}{(\frac{989}{456}+\frac{498}{981}+\frac{598}{251}+\frac{198}{256})\times 989}$

1. $\frac{45981}{40899}$

2. $\frac{98192}{59689}$

3. $1$

4. $0$

Q.

Division of a fraction “A” by a whole number “p” is the same as multiplying the fraction with ___.

1. P

2. A

3. reciprocal of P

4. reciprocal of A

Q.

By inspection, a³ - 2a² + a - 2 gives

1. (a² + 1) (a + 2)

2. (a - 2) (a² + 1)

3. (a - 2) (a² - 1)

4. a(a² - 2a + 1)

Q.

Out of the 10 apples that I had, $\frac{2}{5}$ of them were spoilt. After selling off some of them, I was left with $\frac{1}{3}$ of the fresh apples. Half of the remaining apples were eaten up by my friend. Then the number of apples left with me is ___.

1. 0

2. 1

3. 2

4. 3

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. $\frac{1}{4}$

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

3. $1$

4. $\frac{6}{7}$

Q.

A person bought $3\frac{1}{2}$kg apples, $2\frac{6}{9}$kg of grapes and $1\frac{5}{8}$kg oranges. He wants to divide them among $4$ people. Find the amount (in kg) each person will receive.

1. $\frac{273}{288}$

2. $\frac{288}{273}$

3. $1\frac{288}{273}$

4. $1\frac{273}{288}$

Q.

Madhavi eats $\frac{1}{4}$ of chocolate divided into 20 parts and then Then she divides another one into 5 equal parts and eats 3 of them. What is the total fraction of chocolates that she has eaten?

1. $3\frac{4}{5}$

2. $5\frac{3}{5}$

3. $1\frac{8}{5}$

4. $7\frac{8}{10}$

Q.

The product of two fractions is $20$. If one of the fractions is $\frac{1}{4}$, then what is the other fraction?

1. $\frac{5}{9}$

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

3. $75$

4. $80$

Q.

$\text{The product of two fractions is 20. If one of the fractions is}\frac{1}{4},\text{then the other fraction is:}$

1. 80/1

2. 40/1

3. 60/1

4. 20/1

Q.

Find the value of 'x' if 5/6 + x = -1

1. -13/7

2. -11/6

3. 16/3

4. 1

Q.

Varun travelled $\frac{1}{8}$​th of the journey which is equal to $56km$ on a scooter . What is the remaining distance he has to cover?

1. $442km$

2. $352km$

3. $392km$

4. $342km$

Q. $\frac{4}{7}÷\frac{8}{5}=?$

1. $\frac{9}{5}$
2. $\frac{1}{9}$
3. $\frac{5}{8}$
4. $\frac{5}{14}$

Q. The value of 1-[1-1-(1-1+x)] on simplifying is

1. 2-x
2. 1+x
3. 1-x
4. 2+x

Q.

What is $\frac{7}{8}$ divided by $\frac{2}{8}$ in its simplest form?

1. $\frac{56}{16}$

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

3. $\frac{15}{16}$

4. $\frac{15}{8}$

Q.

Convert the following complex fractions into simple fractions.

$\frac{{\displaystyle \frac{2}{3}}}{6}$

Q.

Sumeet purchased a book costing ₹ 24.75 and a pencil box. If he got back ₹ 32.75 when he gave a ₹ 100 note. What is the cost of the pencil box in fractional form?

1. ₹ $40\frac{1}{2}$

2. ₹ $24\frac{1}{2}$

3. ₹ $42\frac{1}{2}$

4. ₹ $\frac{87}{2}$

Q. What is $\frac{5}{6}÷5$ ?

1. $\frac{7}{6}$
2. $\frac{1}{6}$
3. $\frac{1}{5}$
4. $\frac{3}{5}$

Q.

Find the reciprocal of $5$