Question 1

(0.2 * 0.2 + 0.01) ( 0.1 * 0.1 + 0.02)^(-1) is equal to :

Accepted Answer

Given = (0.2 * 0.2 + 0.01) / ( 0.1 * 0.1 + 0.02) = (0.04 + 0.01) / (0.01 + 0.02) = 0.05 / 0.03 = 5/3...

Question 2

What will be the vulgar fraction of 0.75 ?

Accepted Answer

0.75 = 75/100 = 3/4

Question 3

What is the difference between the biggest and the smallest fraction among 2/3 , 3/4 , 4/5 and 5/6?

Accepted Answer

Converting each of the given fractions into decimal form, we get 2/3 = 0.66, 3/4 = 0.75, 4/5 = 0.8, 5/6 = 0.833 Since 0.833>0.8>0.75>0.66 So, 5/6 > 4/5 > 3/4 > 2/3 Therefore, Required Difference = 5/6 - 2/3 = 1/6

Question 4

138.009 + 341.981 - 146.305 = 123.6 + ?

Accepted Answer

Let 138.009 + 341.981 - 146.305 = 123.6 + z Then, z = (138.09+341.981) - (146.305+123.6)= 479.99 - 269.905 = 210.085

Question 5

What is 15 as a decimal?

Accepted Answer

Here I converted the original fraction to a fraction with the denominator being 10, because decimals can be written in the tenths place. Divide numerator and denominator with ' 2 ' 1 5 x 2 2 = 2 10 = 0 . 2

Question 6

Express 0.875 and 0.375 as a Fraction

Accepted Answer

7/8 & 3/8

Question 7

When 0.46 is written in simplest form, the sum of the numerator and the denominator is ?

Accepted Answer

0.46 = 46/100 = 23/50. Sum of the numerator and denominator is 23 + 50 = 73

Question 8

Correct expression of 6.46 is

Accepted Answer

6 . 46 = 6 + 0 . 46 = 6 + 46 99 594 + 46 99 = > 640 99

Question 9

When 52416 divided by 312 , the quotient is 168. What will be the quotient when 52.416 is divided by 0.0168 ?

Accepted Answer

Given, 52416 / 312 = 168. <=> 52416 / 168 = 312. 52.416 / 0.0168 = 524160 / 168 = 3120.

Question 10

The number 0.127 is how much greater than 1/8 ?

Accepted Answer

0.127 expressed as a fraction = 127/1000 1/8 can also be expressed as (1 x 125) / (8 x 125) = 125/1000 The difference is 2/1000, which is 1/500

Question 11

What will be the value of 25.7322-15.7322

Accepted Answer

Can be easily solved with following formula a 2 - b 2 = a - b × a + b = (25.732 - 15.732 ) x (25.732 + 15.732) =414.64

Question 12

18 as a decimal?

Accepted Answer

Here 1 8 in decimal means 8th part in 1. We know that 1 10 = 0.1 Then, 1 8 = ? => ? = 1 8 x 0 . 1 1 10 = 0 . 1 x 10 8 = 0 . 5 4 1 8 = 0 . 125

Question 13

Express 3/8 and 1/10 as a Decimals?

Accepted Answer

3/8 as a Decimal : In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple. Now to make 8 into 1000, we multiply numerator and denominator with 125 => 3 x 125 8 x 125 = 375 1000 = 0 . 375 1/10 as a Decimal : 1 divided into 10 parts of each 0.1. Therefore, 3/8 = 0.375 and 1/10 = 0.1 in decimals.

Question 14

3/4 divided by 2 is

Accepted Answer

3/4 divided by 2 = 3/4/2 = 3/4x2 = 3/8. Hence, 3/4 divided by 2 is equal to 3/8.

Question 15

3/8 as a decimal

Accepted Answer

Expressing 3/8 as a decimal fraction: We can convert 3/8 into a decimal fraction by just dividing 3 by 8 or making 3 into 8 parts. Then, it is 3/8 = 0.375 as a decimal fraction. Other Method:: 3/8 as a Decimal : In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple. Now to make 8 into 1000, we multiply numerator and denominator with 125 => (3 x 125)/(8 x 125) = 375/1000 = 0.375.

Question 16

Which of the following fraction is the largest?

Accepted Answer

Here to say which fraction is greater from the given options, the fraction with greater numerator with same denominator or smaller denominator with same numerator. To find the greater fraction, among the given options, make the denominators same for the options by finding the LCM of all the denominators. 7/12, 9/16, 13/20, 32/80 Now, LCM of 12, 16, 20, 80 = 240. Then, 140/240, 135/240, 156/240, 96/240 Here 156 240 > 140 240 > 135 240 > 96 240 = > 13 20 > 7 12 > 9 16 > 32 80 Hence, largest fraction = 13/20.

Question 17

3/5 as a decimal fraction?

Accepted Answer

Given fraction is 3/5 Now, multiply with 2 for numerator and denominator we get, 3/5 x 2/2 = 6/10 When we divide, 6 with 10, we get 0.6 as quotient. Hence, 3/5 as a decimal fraction is 0.6.

Question 18

Arrange the fractions in ascending order

Accepted Answer

5/8 = .625, 7/12 = .5833, 3/4 = .75, 13/16 = .8125 So order will be 7/12 < 5/8 < 3/4 < 13/16

Question 19

2/3 as a decimal

Accepted Answer

To convert a fraction into decimal, just take the number on top which we called the numerator and divide it by the number at the bottom which we called the denominator. 2/3 How it comes : 2 ÷ 3 = 0 bring down the decimal point. 20 ÷ 3 = 6 and carry the remainder 2 to make 20 20 ÷ 3 = 6 and carry the remainder 2 to make 20 20 ÷ 3 = 6 and carry the remainder 2 to make 20 etc... This gives the recurring decimal 0.6666... If we round off to two decimals , then it becomes 0.67. Hence, decimal fraction of 2/3 = 0.67.

Question 20

Which of the following is a reductible fraction?

Accepted Answer

105/112

Decimal Fraction Questions