## Fractions

#### Fractions

1. Find the value of 9.467 in a vulgar fraction.
1. 9421/900
2. 9422/900
3. 9435/900
4. 9437/900
5. None of the above

1. 9.467 = 9 + (467 - 46)/900
= 9 + 421/900

##### Correct Option: A

9.467 = 9 + (467 - 46)/900
= 9 + 421/900
= 9421/900

1. (0.142857 ÷ 0.285714) = ?
1. 1/2
2. 1/3
3. 2
4. 10
5. None of the above

1. = 0.142857 / 0.285714
= [(142857 / 999999) / (285714 / 999999)]

##### Correct Option: A

= 0.142857 / 0.285714
= [(142857 / 999999) / (285714 / 999999)]
= 142857 / 285714
= 1 / 2

1. When 0.252525...........is converted into a fraction, then find the result.
1. 25/99
2. 25/90
3. 25/999
4. 25/9999

1. 0.252525 ..... = 0.25

##### Correct Option: A

0.252525 ..... = 0.25= 25/99

1. Find the value of 1/3 + 1/15 + 1/35 + 1/63 + 1/99 .
1. 10/11
2. 5/11
3. 9/11
4. 7/11

1. 1/3 + 1/15 + 1/35 + 1/63 + 1/99
= [1/3 + 1/15] + 1/35 + 1/63 + 1/99

##### Correct Option: B

1/3 + 1/15 + 1/35 + 1/63 + 1/99
= [1/3 + 1/15] + 1/35 + 1/63 + 1/99
= [6/15 + 1/35] + 1/63 + 1/99
= 45/105 + 1/63 + 1/99 = [3/7 + 1/63] + 1/99
= 28/63 + 1/99 = 4/9 + 1/99
= 44 + 1/99 = 45/99 = 5/11

1. Find the value of 2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
1. 800
2. 500
3. 900
4. 1600
5. None of the above

1. 2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
= 2 x [(36 x 48 x 250) / (12 x 9 x 5)]

##### Correct Option: D

2 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
= 2 x [(36 x 48 x 250) / (12 x 9 x 5)]
= 2 x 4 x 4 x 50 = 1600