Division of Fractions

Q.

Divide the sum of $\frac{65}{12}$and $\frac{12}{7}$ by their difference.

Q.

Find: $3\frac{1}{2}÷\frac{8}{3}$.

Q. Explain with example that product of any fraction with its reciprocal will always be 1.

Q.

Find: $\left(\frac{4}{9}\right)÷5$

Q.

A man earns $₹25440$ per month. He spends $\frac{1}{4}$ of it on house rent, $\frac{3}{8}$ on food and clothes, $\frac{1}{10}$ on insurance and $\frac{1}{5}$ on other items. The rest he saves. How much does he save each month?

Q.

The product of two numbers is $15\frac{5}{6}$. If one of the numbers is $6\frac{1}{3}$, what is the other number?

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

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

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

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

Q.

A car travels 40 km with $2\frac{1}{2}$ litres of petrol. How much distance can it travel with 1 litre of petrol?

1. 12 km

2. 20 km

3. 18 km

4. 16 km

Q. Division of a fraction by a whole number, is the same as multiplying the fraction with the __ .

1. Numerator of the fraction
2. Denominator of the fraction
3. None of the above
4. Reciprocal of the whole number

Q. $\text{What is the reciprocal of}\frac{4}{11}?$

1. $\frac{4}{11}$
2. $\frac{11}{4}$
3. 11
4. 4

Q.

What do we get when we represent $\frac{27}{4}$ as sum of a whole number and a proper fraction?

1. $\text{6 +}\frac{3}{4}$

2. $\text{20 +}\frac{1}{4}$

3. $\text{6 +}\frac{1}{4}$

4. $\text{5 +}\frac{1}{4}$

Q.

Simplify

$\frac{8}{18}\times \frac{15}{20}÷\frac{24}{15}\times \frac{42}{35}$

Q. Convert the given pair of unlike fractions in to like fractions.
$\frac{2}{5}and\frac{3}{7}$

Q. A wire of length $12\frac{1}{2}$m is cut into 10 pieces of equal length. Find the length of each piece.

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

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.

___ $÷1=-87$

Q.

Three children are sharing $2\frac{1}{4}$ of a pizza. Each child gets ______ of a pizza.

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

Q. I had ${\frac{1}{4}}^{\text{th}}$ of a pizza and now I want to divide the rest equally into 3 parts. Each part will be .

1. $\frac{1}{4}$
2. $\frac{1}{12}$
3. $\frac{9}{4}$
4. $\frac{3}{4}$

Q.

$(-225)÷5=\_\_\_\_\_$. Fill in the blanks to make the statement true.

Q.

A bus consumes $12.5$ liters of diesel in covering a distance of $75$ km. How much diesel will it consume in covering $393$ km?

Q.

$\frac{1}{5}÷\frac{5}{6}=\left(\frac{1}{5}\right)\_\_\_\_\left(\frac{6}{5}\right)$$,$ Fill in the blanks$.$

Q. If we subtract $\frac{3}{8}$ from $\frac{5}{6}$, then we get ___.

1. $\frac{13}{24}$
2. $\frac{11}{24}$
3. $\frac{24}{48}$
4. $\frac{20}{48}$

Q. The product of two fractions is 20. If one of the fractions is $\frac{3}{2},$ then the other fraction is .

1. $\frac{40}{3}$
2. $\frac{80}{3}$
3. $30$
4. $\frac{4}{3}$

Q.

$\left(-57\right)\times \left(-19\right)+57=$

Q.

Divide the $\frac{5}{8}$by $\frac{25}{4}$

Q. In an elephant park, the heaviest elephant Chloe, weighs 5000 kg. The weights of three elephants are given: Jane - 3500 kg, Julie - 3200 Kg, Kim - 4000 kg. Will the fraction formed by dividing the weights of Julie and Kim be the same as the fraction formed by dividing the weights of Kim and Chloe?

1. True
2. False
3. Data not adequate
4. Can't be found out

Q. If the cost of $5\frac{2}{5}$ litres of milk is ₹$101\frac{1}{4}$, then find the cost of a litre of the milk.

Q.

How to divide two fractions ?

Q. A circular vanilla cake was made for Adam's birthday. How many quarters are there in the cake?

1. 4

Q. $12$ gallons of water fills a tank to $\frac{3}{4}$th of its total capacity. Then the capacity of the tank is .

1. 48 gallons
2. 24 gallons
3. 8 gallons
4. 16 gallons

Q. A pizza usually has 6 slices. But on the day of the party, a pizza having 7 slices was delivered to Jose. 5 friends of Jose who are 'calorie conscious' decided to eat only 3 slices from that pizza. How much share would each friend get?

1. $\frac{3}{35}$
2. $\frac{4}{35}$
3. $\frac{13}{35}$
4. $\frac{23}{35}$