Q: The rational for the recurring decimal 0.125125......is

0.125125...... = 0 . 125 ¯ = 125/999

Q: 54.327 x 357.2 x 0.0057 is same as

Number of decimal places in the given expression = 8 Number of decimal places in (A) = 8 Number of decimal places in (B) = 9 Number of decimal places in (C)= 7 Clearly , the expresssion in (A) is the same as the given Expression.

Q: Karthik read 613 th of a book in 1st week and 59 th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ?

Let the total book be 1 Then, in the 1st week 6 13 th of book is read i.e remaining pages = 1 - 6 13 = 7 13 in 2nd week he read 5 9 th of it i.e 5 9 × 7 13 = 35 117 Remaining pages after 2nd week = 7 13 - 35 117 = 28 117 But given remaining pages after 2nd week = 100 28 x 117 = 100 --> x = 418 The total pages in the book are 418

Question 1

When 0.36 is written in simplest form, the sum of the numerator and the denominator is :

Accepted Answer

0.36 = 36/100 = 9/25. Sum of the numerator and denominator is 9 + 25 = 34

Question 2

If 47. 2506 = 4*A + 7/B + 2*C + 5/D + 6*E, then the value of 5*A + 3*B + 6*C + D + 3*E is :

Accepted Answer

4*A + 7/B + 2*C + 5/D + 6*E =47.2506 => 4 * A + 7/B + 2 *C + 5/D + 6*E = 40 + 7 + 0.2 + 0.05 + 0.0006 Comparing the terms on both sides, we get : 4*A =40, 7/B = 7, 2*C = 0.2, 5/D = 0.05, 6*E = 0.0006 A = 10, B = 1, C = 0.1, D = 100, E = 0.0001. 5*A + 3*B + 6*C + D + 3*E =(5*10) + (3*1) + (6*0.1) +100 +(3*0.0001) =50 + 3 + 0.6 + 100 + 0.003 = 153.6003.

Question 3

If 1.5x = 0.04y, then the value of ( (y - x) / (y+x) ) is :

Accepted Answer

x / y = 0.04 / 1.5 = 4 / 150 = 2 / 75. = > ( (y - x) / (y+x) ) = (1 - (x / y)) / ( 1 + ( x / y)) = (1 - 2/75) / (1 + 2/75) = 73/77...

Question 4

3 x 0.3 x 0.03 x 0.003 x 30 =?

Accepted Answer

3 x 3 x 3 x 3 x 30 = 2430. Sum of decimal places = 6 Therefore, 3 x 0.3 x 0.03 x 0.003 x 30 = 0.002430 = 0.00243

Question 5

When 0.232323.... is converted into a fraction , then the result is

Accepted Answer

0 . 232323 . . . = 0 . 23 = 23 99

Question 6

What decimal of an hour is a second

Accepted Answer

0.0027

Question 7

Which of the following fractions is greater than 3/4 and less than 5/6?

Accepted Answer

16/19 =0.842, 11/14 =0.785 and 17/22 = 0.772 ∴ 0.772 < 0.785 < 0.842 or 17/22 < 11/14 < 16/19.

Question 8

The rational for the recurring decimal 0.125125......is

Accepted Answer

0.125125...... = 0 . 125 ¯ = 125/999

Question 9

54.327 x 357.2 x 0.0057 is same as

Accepted Answer

Number of decimal places in the given expression = 8 Number of decimal places in (A) = 8 Number of decimal places in (B) = 9 Number of decimal places in (C)= 7 Clearly , the expresssion in (A) is the same as the given Expression.

Question 10

Karthik read 613 th of a book in 1st week and 59 th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ?

Accepted Answer

Let the total book be 1 Then, in the 1st week 6 13 th of book is read i.e remaining pages = 1 - 6 13 = 7 13 in 2nd week he read 5 9 th of it i.e 5 9 × 7 13 = 35 117 Remaining pages after 2nd week = 7 13 - 35 117 = 28 117 But given remaining pages after 2nd week = 100 28 x 117 = 100 --> x = 418 The total pages in the book are 418

Question 11

If two fractions, each of which has a value between 0 and 1, are multiplied together, the product will be :

Accepted Answer

We can easily Answer this by taking some values. The question states that the two fractions, each have values between 0 and 1. Let us say one of the fraction is 1/2 and the other fraction is 1/3 . The product of the two fractions is 1/2 x 1/3 = 1/6 . is lesser than both 1/2 and 1/3 . So, the correct answer is that the product is always less than either of the original fractions.

Question 12

What is the quotient of 18/1000?

Accepted Answer

0.018

Question 13

The expression (11.98 * 11.98 + 11.98 * (x) + 0.02 * 0.02) will be a perfect square for x equal to :

Accepted Answer

Given = (11.98)^2 + (0.02)^2 + 11.98 * x. For the given expression to be a perfecr square, we must have 11.98 * x = 2 * 11.98 * 0.02 => x = 0.04

Question 14

A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old I am." What was the age of the person ?

Accepted Answer

Let the present age of person be x years. Then, 3(x + 3) - 3(x - 3 ) = x <=> (3x + 9) - (3x - 9) = x <=> x = 18..

Question 15

Which of the following are in descending order of their value?

Accepted Answer

Converting each of the given fractions into decimal form, we get 5/9 = 0.55, 7/11 = 0.63, 8/15 = 0.533, 11/17 = 0.647 Clearly, 0.647>0.63>0.55>0.533 so , 11/17 > 7/11 > 5/9 > 8/15

Question 16

When 52416 is 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 Now , 52 . 416 0 . 0168 = 52416 16 . 8 = 52416 168 × 10 = 312 × 10 = 3120

Question 17

(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 18

What is the decimal conversion of 18?

Accepted Answer

0.125

Question 19

125 over 1000 in Simplest Form?

Accepted Answer

125 over 1000 in Simplest Form means 125 1000 in its simple fraction form. Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000. HCF of 125, 1000 = 125 Then, divide both numerator and denominator by 125 i.e, 125 125 1000 125 = 1 8 Hence, 1 8 is the simplest form of 125 over 1000.

Question 20

5/8 as a Decimal Equals To

Accepted Answer

5/8 is Nothing but to divide 5 into 8 parts. As 5 is smaller than 8, the quotient starts with a decimal point to make 5 as 50 to be divisible by 8. (0.) Now 50 goes for 6 times in 8 leaving a remainder 2. (0.6) Again 2 is smaller than 8, As it already has decimal point in the quotient, now 2 becomes 20. Now 20 goes for 2 times in 8 leaving a remainder 4. (0.62) Again 4 is smaller than 8, As it already has decimal point in the quotient, now 4 becomes 40. Now 40 goes for 5 times in 8 leaving a remainder 0. (0.625) Therefore, the decimal value of 5 8 is 0.625. Now find a decimal value of 11 17 and Discuss your at Discuss.

Decimal Fraction Questions