Decimals into Rational Numbers

Q.

How do you represent $0.625$ in the form of $\frac{p}{q}$ where $p$ and $q$ are integers?

1. $\frac{5}{32}$

2. $\frac{5}{16}$

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

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

Q.

The values of the digits A and B in the given multiplication are and respectively.

A B

x 6

____

2 8 8

1. 5
2. 3
3. 4
4. 8
5. 2

Q. Express 3.106 in the $\frac{p}{q}$ form.

1. $\frac{1553}{500}$
2. $\frac{153}{500}$
3. $\frac{1553}{1000}$
4. $\frac{1253}{500}$

Q. If 12.287287287........ can be represented in $\frac{p}{q}$ form, then 'p - q ' is

1. 11266
2. 11277
3. 11276
4. 11176

Q.

Convert $0.41\overline{6}$ into $\frac{p}{q}$ form.

1. $\frac{5}{12}$

2. $\frac{5}{11}$

3. $\frac{1}{12}$

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

Q. Find 7 rational numbers between $\frac{1}{3}$ and $\frac{1}{2}$.

1. $\frac{31}{90},\frac{16}{45},\frac{11}{30},\frac{17}{45},\frac{7}{18},\frac{2}{5},\frac{37}{90}$
2. $\frac{30}{90},\frac{16}{45},\frac{11}{30},\frac{17}{45},\frac{7}{18},\frac{2}{5},\frac{37}{90}$
3. $\frac{31}{90},\frac{16}{45},\frac{29}{30},\frac{17}{45},\frac{7}{18},\frac{2}{5},\frac{37}{90}$
4. $\frac{31}{90},\frac{32}{45},\frac{11}{30},\frac{17}{45},\frac{7}{18},\frac{2}{5},\frac{37}{90}$

Q.

How do you convert $0.123123123\dots$ to a fraction?

Q.

Write four more rational numbers of the following patterns:

$\frac{2}{-3},\frac{-2}{3},\frac{4}{-6},\frac{-6}{9}......$

Q.

If $x=0.\overline{17}$, then which of the following statements are true?

(i) $100x=17.\overline{17}$
(ii) $100x-x=16.\overline{17}$
(iii) $99x=17$

1. (i) only
2. (i) and (iii)
3. (i) and (ii)
4. (i), (ii) and (iii)

Q. How do you represent $0.3125$ in the form of $\frac{p}{q}$, where $p$ and $q$ are integers and $q$ is not zero?

1. $\frac{5}{25}$
2. $\frac{6}{20}$
3. $\frac{5}{16}$
4. $\frac{6}{18}$

Q.

The decimal number 0.625 when expressed as a fraction is

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

2. $\frac{5}{8}$

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

4. $\frac{8}{5}$

Q.

Write the repeating decimal as a fraction or a mixed number

$2.\overline{36}$.

Q. Find $\frac{(x+y)}{(x-y)}$, if $x=\frac{5}{2}$ and $y=\frac{3}{2}.$

1. 4
2. 2
3. $\frac{7}{2}$
4. $\frac{9}{2}$

Q. Express 18.96 as a rational number.

1. $\frac{474}{25}$
2. $\frac{472}{25}$
3. $\frac{474}{24}$
4. $\frac{474}{50}$

Q. How do you represent $0.3125$ in the form of $\frac{p}{q}$, where $p$ and $q$ are integers and $q$ is not zero?

1. $\frac{6}{20}$
2. $\frac{5}{25}$
3. $\frac{5}{16}$
4. $\frac{6}{18}$

Q.

Are the three rational numbers $-\left(\frac{3}{5}\right),\frac{-3}{5},\frac{3}{-5}$ same ?

Q.

How do you convert $0.87$ $(7$repeating$)$ to a fraction?

Q.

Arrange the following rational numbers in ascending order.

$\frac{17}{-30},\frac{-11}{20},\frac{7}{-15},\frac{-3}{10}$