Conversion of Recurring Decimals to Fractions

Q. Find the value of $\sqrt{\mathrm{0.444....}}$ in decimal form.

1. 0.222.....
2. 0.444.....
3. 0.666....
4. 0.888....

Q. Find the fraction form of the decimal 0.12121212....... .

1. $\frac{4}{99}$
2. $\frac{4}{3}$
3. $\frac{12}{100}$
4. $\frac{4}{33}$

Q. Find the fraction form of decimal 0.037037037....

1. $\frac{1}{3}$
2. $\frac{1}{27}$
3. $\frac{1}{3}$
4. $\frac{1}{99}$

Q. Find the fraction form of decimal 0.123123123.....

1. $\frac{41}{33}$
2. $\frac{123}{1000}$
3. $\frac{41}{333}$
4. $\frac{12}{100}$

Q. The fraction form of decimal 0.636363..... is ____

1. $\frac{3}{63}$
2. $\frac{7}{33}$
3. $\frac{63}{100}$
4. None of the above

Q. Find the value of $(\mathrm{0.333....}{)}^2$ in decimal form.

1. 0.999.....
2. 0.666.....
3. 0.333......
4. 0.111.......

Q. The value of 0.111.... + 0.222..... is

1. 0.444...
2. 0.111....
3. 0.151515....
4. 0.333....

Q. While converting $2.\overline{3}$ into a fraction, Garry performed the following steps:

Step 1: $x=\mathrm{2.333333...}$
Step 2: $10x=\mathrm{23.333333...}$
Step 3: $10x-x=21$
Step 4: $x=\frac{21}{3}$

In which step did Garry go wrong?

1. Step 1
2. Step 2
3. Step 3
4. Step 4

Q. Find the value of 0.111.... + 0.333.....

1. 0.222....
2. 0.333....
3. 0.111....
4. 0.444....

Q.

Write the given numeral as a decimal:

$19\frac{9}{100}$

Q.

If 0.75 : x :: 5 : 8, then x = _______

1. 1.2

2. 3

3. 1.8

4. 1.5

Q.

Convert the decimal into fraction :

$19.750$

Q. While converting $2.\overline{3}$ into a fraction, Garry performed the following steps:

Step 1: $x=\mathrm{2.333333...}$
Step 2: $10x=\mathrm{23.333333...}$
Step 3: $10x-x=21$
Step 4: $x=\frac{21}{3}$

In which step did Garry go wrong?

1. Step 1
2. Step 2
3. Step 3
4. Step 4

Q. Calculate the square of 0.222.....

1. 2/9
2. 1/81
3. 1/9
4. 4/81

Q.

Write the following number as decimal

$\frac{17}{25}$

Q. Calculate 0.444....+ 0.555....

1. 0.999
2. 1
3. 1.11
4. 0.666

Q.

$30+8+\_\_\_\_\_\_\_\_=38.2$

Q. Find the value of 0.111.... + 0.333.....

Q.

Convert the decimal number into a fraction(in irreducible form): $0.8$

Q.

Write each of the following as decimals.

$\frac{7}{10}+\frac{6}{100}+\frac{4}{1000}$

Q. The Number obtained by interchanging the integral and fractional part of $50.23$ is?

1. $23.4$
2. $23.5$
3. $32.05$
4. $23.05$

Q.

$20+\_\_\_\_\_\_\_\_+\frac{4}{10}=25.4$

Q.

How do you convert $0.\overline{7}$ to a fraction?