Q: Arrange the fractions 34,512,1316,1629,38 in their ascending order of their magnitude?

3/8 < 5/12 < 16/29 < 3/4 < 13/16

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

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

Q: 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 :

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 1

The sum of a non-zero number and 4 times its reciprocal is 17/2. What is the number?

Accepted Answer

8

Question 2

A fraction is greater than its reciprocal by 9/20. What is the fraction?

Accepted Answer

5/4

Question 3

A fraction is greater than twice its reciprocal by 7/15. What is the fraction?

Accepted Answer

5/3

Question 4

Which of the fractions given below, when added to 5/8, gives 1?

Accepted Answer

6/16

Question 5

Sum of a fraction and thrice its reciprocal is 31/6. What is the fraction?

Accepted Answer

9/2

Question 6

Arrange the fractions 34,512,1316,1629,38 in their ascending order of their magnitude?

Accepted Answer

3/8 < 5/12 < 16/29 < 3/4 < 13/16

Question 7

When 0.090909.....is converted into a fraction, then the result is

Accepted Answer

1/11

Question 8

When 0.151515.....is converted into a fraction, then the result is

Accepted Answer

5/33

Question 9

Reduce 2714/5074 to lowest terms.

Accepted Answer

23/43

Question 10

The sum of a fraction and 3 times its reciprocal is 31/6. What is the fraction?

Accepted Answer

9/2

Question 11

Sum of twice a fraction and 3 times its reciprocal is 29/3. What is the fraction?

Accepted Answer

9/2

Question 12

Sum of four times a fraction and 6 times its reciprocal is 11. What is the fraction?

Accepted Answer

3/4

Question 13

Convert the 0.0068 in to vulgar fraction:

Accepted Answer

17/2500

Question 14

How many digits will be there to the right of the decimal point in the product of 95.75 and 0.2554 ?

Accepted Answer

Sum of the decimal places = 7 . Since the last digit to the extreme right wil be zero ( 5 * 4 = 20), so there will be 6 significant digits to the right of the decimal point....

Question 15

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 16

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 17

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 18

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 19

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

Accepted Answer

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

Question 20

What decimal of an hour is a second

Accepted Answer

1 / (60 * 60) = 1 / 3600 = .0027

Decimal Fraction Questions