Multiplication of Fractions

Q.

A car runs $16km$ using $1$ litre of petrol. How much distance will it cover using $2\frac{3}{4}$ litres of petrol?

Q.

Question 60

Renu completed $\frac{2}{3}$ part of her homework in 2 hours. How much part of her homework had she completed in 1 $\frac{1}{4}$ hours?

Q.

Rahul can finish one-fifth of his homework in one hour. Neha can finish three-sevenths of her homework in one hour thirty minutes and Riya can finish three fourth of her homework in three hours thirty minutes. If all of them start their homework at $12.00p.m$ and can go to play as soon as they all finish their homework, when can they start to play if they take a break at $3.30p.m$ for thirty minutes?

Q.

Puja started from home and walked 20 km towards the east and then she took a left and walked 10 km. She walked another 10 m after taking a left turn and then walked 15 km and reached back home. The total distance covered by Puja is ___ km.

Q.

Question 113

Family photograph has length $14\frac{2}{5}$ cm and breadth $10\frac{2}{5}$ cm. It has border fo uniform width $2\frac{3}{5}$ cm. Find the area of farmed photograph.

Q.

Question 90

How much cloth will be used in making 6 shirts, if each required $2\frac{1}{4}m$ of cloth allowing $\frac{1}{8}m$ for waste in cutting and finishing in each shirt?

Q.

Multiply and reduce to lowest form (if possible):$\left(\frac{2}{7}\right)\times \left(\frac{7}{9}\right)$.

Q.

Question 1 (i)

Find the sum:
$\frac{5}{4}+\left(\frac{-11}{4}\right)$

Q.

Cost of a burger is $Rs.20\frac{3}{4}$ and of macpuff is $Rs.15\frac{1}{2}.$ Find the cost of $4$ burgers and $14$ macpuffs.

Q.

A school starts at 8 a.m. The classes are for 5.25 hours . It takes 0.75 hour to reach school from Shally's house. It takes the same time for the return journey. At what time does Sally leave her home daily, and at what time does she reach home after school

Q.

The value of $\frac{1}{{\log }_{3}12}+\frac{1}{{\log }_{4}12}$ is

1. $0$

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

3. $1$

4. $2$

Q.

Question 2 (iii)

Multiply and reduce to lowest form (if possible):
$\frac{3}{8}\times \frac{6}{4}$

Q.

Multiply and reduce to the lowest form and convert into a mixed fraction: $\left(\frac{2}{3}\right)\times 4$

Q.

Question 26

$\frac{1}{2}$ of $4\frac{2}{7}$ is ___

Q.

Question 66

The label on a bottle of pet vitamins lists dosage guidelines what dosage would you give to each of these animals ?
(a) a 18 kg adult dog (b) a 6 kg cat
(c) a 18 kg pregnant dog
- Do good pet vitamins
- Adult dogs:

$\frac{1}{2}$ tsp (tea spoon full) per 9 kg body weight
-Puppies, pregnant dogs, or nursing dogs:
$\frac{1}{2}$ tsp per 4.5 kg body weight
- Cats:

$\frac{1}{4}$ tsp per 1 kg body weight

Q.

Question 2 (vii)

Multiply and reduce to lowest form (if possible):
$\frac{4}{5}\times \frac{12}{7}$

Q.

Question 68

Anvi is making bookmarker like the one shown in the given figure. How many bookmarkers can she make from a 15 m long ribbon?

Q.

Find $(6/13)÷7$.

Q.

Question 105 (i)

It takes 17 full specific type of trees to make one tonne of paper. If there are 221 Such trees in a forest, then
What fraction of the forest will be used to make
(a) 5 tonne of paper?
(b) 10 tonne of paper?

Q.

Question 115

A Hill, 101 $\frac{1}{3}$ m in height, has $\frac{1}{4}$th of its height underwater, what is the height of the hill visible above the water?

Q. Question 3(viii)
Multiply and reduce to lowest form and convert into a mixed fraction:
$20\times \frac{4}{5}$

Q. Question 6(iii)
Multiply and express as a mixed fraction:
$\left(c\right)7\times 2\frac{1}{4}$

Q. Question 3(v)
Multiply and reduce to lowest form and convert into a mixed fraction:
$\frac{2}{3}\times 4$

Q. Question 8 (b)
(i) Provide the number in the box $\square$ such that $\frac{3}{5}\times \square =\frac{24}{75}$
(ii) The simplest form of the number obtained in $\square$ is $\underset{–}{}$

Q.

Question 7

The product of 3 and 4 $\frac{2}{5}$ is
(a) $17\frac{2}{5}$
(b) $\frac{24}{5}$
(c) $13\frac{1}{5}$
(d) $5\frac{1}{13}$

Q. Question 3(ix)
Multiply and reduce to lowest form and convert into a mixed fraction:
$13\times \frac{1}{3}$

Q. Question 3 (i)
Multiply the following fractions
$\frac{2}{5}\times 5\frac{1}{4}$

Q.

The product of two numbers is $12\frac{3}{4}$. If one of the numbers is $3\frac{2}{5}$, what is the other number?

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

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

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

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

Q.

1. 36

2. 45

3. 60

4. 30

Q.

Question 105 (ii)

It takes 17 full specific type fo trees to make one tonne of paper. If there are 221 such trees in a forest, then
to save $\frac{7}{13}$ part of the forest, how much of paper we have to save?