Conversion of Fractions to Decimals

Q.

A water tank is two-fifths full. The pipe $A$ can fill a tank in $10minutes$ and the pipe $B$ can empty it in $6minutes.$ If both the pipes are open, how long will it take to empty or fill the tank completely?

1. $6min$ to empty

2. $6min$ to fill

3. $9min$ to empty

4. $9min$ to fill

Q. $\frac{1}{4}$ and $\frac{2}{8}$ are equivalent fractions.

1. True
2. False

Q.

Multiply the following fractions: $3\frac{4}{7}\times \frac{3}{5}$

Q. Find the missing fraction in the magic square.

1. $\frac{2}{11}$
2. $\frac{3}{11}$
3. $\frac{5}{11}$
4. $\frac{2}{3}$

Q. Find the reciprocal of $\frac{3}{4}\times 2$.

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

Q. Complete the given Magic Square so that the sum of each row and column is same.

1. $\frac{7}{17}$
2. $\frac{6}{17}$
3. $\frac{4}{17}$
4. $\frac{5}{17}$

Q. A shopkeeper purchased 15 chocolates for ₹97.50. The cost price per piece of chocolate is ₹______.

1. 6.5

Q.

Convert the fractions into a decimal number: $\frac{3}{8}$

Q.

Convert the fractions into a decimal number: $\frac{112}{125}$

Q. Find out :
$\frac{3}{5}$ - $\frac{1}{2}$

1. 0.1
2. 0.3
3. 0.6
4. 0.01

Q.

Write three equivalent fractions of : $\frac{5}{12}$

Q.

Improper fractions are less than 1.

1. True
2. False

Q.

Usha bought a refrigerator for$₹16875,$ a television for$₹38795$ and an air-conditioner for $₹25410.$Find the total amount spent by Usha$.$

Q.

To simplify a ratio, we divide the two terms by their ____, if, however, the terms are in fraction, then we multiply them by ___ of denominators.

Q.

Convert $\frac{23}{10}$ into decimal.

Q.

Write two equivalent fractions for each of the following.

$\frac{19}{20}$

Q. Product of 9.52 and 9.82 is ________.

1. 93.4864

Q. Write the following ascending order.
$0.3$, $0.05$, $0.03$, $0.1$

1. $0.03<0.05<0.3<0.1$
2. $0.03<0.05<0.1<0.3$
3. $0.05<0.03<0.1<0.3$
4. $0.03<0.05<0.3<0.1$

Q.

Raju bought a book for $₹35.65$. He gave $₹50$ to the shopkeeper. How much money did he get back from the shopkeeper?

Q.

Write each of the following as decimals:

One hundred and two-ones

Q. Evalutate : $\left(0.3\right)\times \left(0.3\right)-\left(0.2\right)\times \left(0.2\right)$

Q. 1.25 converted to fraction in its simplest form gives __.

Q. The product of an improper fraction and a proper fraction is greater than the fraction.

1. proper
2. improper
3. equivalent

Q.

Write the following fractions as decimals:

$\frac{2}{5}$

Q. The product of a rational number with its reciprocal is always _____ .

1. 0
2. 1
3. 2
4. 3

Q.

If $\frac{9}{7}$ and $\frac{a}{63}$ are equivalent fractions, then the value of 'a' is ___ .

Q.

(a) Amit used to be on the playground $4\frac{1}{2}$ times as much as his brother. Now he cut down $1\frac{1}{3}$ of the time he used to be on the playground as much as his brother. How much time does he spend on the playground when compared to his brother?

(b) The sum of two rational numbers is $\frac{-5}{8}$. If one of the numbers is $\frac{-6}{11}$, find the other number.

(c) Find x such that $\frac{-3}{8}$ and $\frac{x}{-24}$ are equivalent fractions.
[3 MARKS]

Q. Convert the following fractions into decimal numbers.

(i) 3$\frac{3}{5}$ (ii) 3$\frac{19}{25}$

Q.

Convert $\frac{4735}{1000}$ into decimal.

Q.

Express $₹2.50$ without using decimals.