Multiplying a Number with a Fraction

Q.

Convert $\frac{6}{12}$ to a simplest form

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

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

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

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

Q.

Question 7(b):

Reduce the following fractions to simplest form:

$\frac{150}{60}$

Q.

Which of the given option is the simplest form of $\frac{13860}{18480}$ ?

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

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

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

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

Q. A metal pipe 3m long was found to weight 7.6kg. What would be the weight of the same kind of 7.8m long pipe?

Q. A piece of cloth is 5-metre long. After washing, it shrinks by $\frac{1}{25}$ of its length. What is the length of the cloth after washing?

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

Q. Reena spends $\frac{1}{3}$rd of the day sleeping, $\frac{1}{4}$th of the day in school and $\frac{1}{8}$th of the day doing homework. Find the remaining time Reena spent playing games and doing household activities.

1. 8 hours
2. 7 hours
3. 5 hours
4. 6 hours

Q. A 10-metre string can be cut into $\frac{1}{2}$ metre pieces.

1. 20
2. 10
3. 15

Q.

Saanvi reads $15$ pages of a book every day and finishes the book in $25$ days. If she reads $25$ pages in a day, in how many days will she finish the book?​

Q.

Question 5 (c)

Write the following decimal as a fraction. Reduce the fraction to the lowest term:

1.0

Q. Arrange the rational numbers in ascending order.

Q.

Question 5 (g)

Write the following decimal as a fraction. Reduce the fraction to the lowest term:

6.4

Q.

Find the value of a if,

$4\frac{a}{5}=\frac{24}{5}$

1. $4$

2. $1$

3. $4$

4. $3$

Q.

Find the value of a if,

$3\frac{a}{4}=\frac{15}{4}$

1. $3$

2. $4$

3. $1$

4. $2$

Q. Express the following as mixed fraction
$\frac{20}{3}$.

Q. The value of $\frac{3}{4}\times \frac{5}{6}$ is

1. $\frac{5}{8}$
2. $\frac{4}{5}$
3. $\frac{9}{10}$

Q.

$\frac{1}{3}-(\frac{5}{6}\times \frac{9}{18})+\frac{2}{9}$

1. $\frac{4}{36}$

2. $\frac{5}{36}$

3. $\frac{6}{36}$

4. $\frac{7}{36}$

Q.

When $\frac{1}{4}$ is written with denominator as $12$ , its numerator is :

1. $3$

2. $8$

3. $24$

4. $12$

Q. Convert $\frac{9}{18}$ to its simplest form

1. $\frac{1}{2}$
2. $\frac{2}{1}$
3. $\frac{3}{2}$
4. $\frac{9}{18}$

Q.

Pavan had ₹100 and Vishnu had ₹120. Vishnu gave $\frac{1}{4}$ of his money to Pavan. Pavan now has ___.

1. ₹130

2. ₹120

3. ₹140

4. ₹150

Q.

In a marathon of 5 km, Manish runs $\frac{2}{5}$ of the distance and Kushagra runs half the total distance, then who covers more distance?

1. Both covered the same distance

2. Data insufficient

3. Manish

4. Kushagra

Q. Convert $\frac{2}{4}$ to its simplest form

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

Q. Arrange the following in ascending order.

$\frac{1}{11},$ $\frac{13}{11},$ $\frac{1}{3},$ $\frac{4}{3}$

1. $\frac{1}{3}<\frac{13}{11}<\frac{1}{11}<\frac{4}{3}$
2. $\frac{1}{3}<\frac{1}{11}<\frac{13}{11}<\frac{4}{3}$
3. $\frac{1}{11}<\frac{13}{11}<\frac{1}{3}<\frac{4}{3}$
4. $\frac{1}{11}<\frac{1}{3}<\frac{13}{11}<\frac{4}{3}$

Q. 5 rods of length 3.45 metres each are laid together from end to end. What will be the total length?

1. 17.25

Q. Express the following as mixed fraction
$\frac{11}{5}$.

Q.

Write as fractions in lowest terms.

Q. A tailor requires 250 cm of cloth for making a curtain. He received an order of making 25 curtains, how much cloth will he require to complete the order?

1. 62.5 cm
2. 62.5 m
3. 6250 m
4. 625 mm

Q. Hima has 15.98 m long rope out of which she gave 475.6 cm to her brother and 5230 mm to her sister. How much meter of rope is left with her now?

Q. Which of the following mixed fractions corresponds to $\frac{37}{7}$ ?

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

Q. Arrange the following fraction in decreasing order from top to bottom.

1. $\frac{3}{5}$
2. $\frac{2}{5}$
3. $\frac{3}{8}$
4. $\frac{1}{5}$
5. $\frac{1}{7}$

Q. Daimaiyanti ate $\frac{2}{9}$ of the pizza. She decided to leave the remaining and asked Hari and Shankar to divide the rest equally amongst each other. How much of the pizza each did Hari and Shankar get? (3 marks)