General Mathematics



  2. Question:Express the following as vulgar fractions :
  (i) ` 0.6`     (ii) ` 0.37 `   (iii)  `0.053`   (iv) ` 3.142857` 
    Answer
    (i) `0.6 = 6/9 = 2/3. `      

(ii) ` 0.37 = 37/99`.   

(iii) ` 0.053 = 53/999`.

(iv) `3.142857 = 3+ 0.142857 `

   `= 3 + (142857)/(999999) `

   `= 3 (142857)/(999999)`.






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  3. Question:Express the following as vulgar fraction :
 (i) `0.17` (ii) `0.1254` (iii) `2.536` 
    Answer
    (i) ` 0.17 = (17-1)/90 = 16/90 = 8/45`.

 (ii) ` 0.1254 = (1254-12)/(9900)`

   ` = (1242)/(9900) = 69/(550)`.

 (iii) ` 2.536 = 2 + 0.536 = 2+ (536 - 53)/900`

   ` = 2 + 483/900 = 2 + 161/300 = 2 (161)/300`.






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  4. Question:`108 ÷ 36` of `1/4 + 2/5 xx 3 1/4`. 
    Answer
    Given Expression, 

`= 108 ÷ 9 + 2/5 xx 13/4`

`= 108/9 + 13/10`

`= (12 + 13/10)`

`= 133/10`

`= 13 3/10`.






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  5. Question:`1/3 ÷ 5/3 + 1/4 xx 3/5 - 2/5` of `5/7`. 
    Answer
    Given Expression,

`1/2 ÷ 5/3 + 1/4 xx 3/5 - 2/5` of `5/7`

`= 1/3 ÷ 5/3 + 1/4 xx 3/5 - 2/7`

`= 1/3 xx 3/5 + 3/20 - 2/7`

`= 1/5 + 3/20 - 2/7`

`= (4 + 3)/20 - 2/7`

`= 7/20 - 2/7`

`= ((49 - 40)/(140))`

`= 9/140`.






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  6. Question:`3.5 ÷ 0.7` of `7 + 0.5 xx 0.3 - 0.1` 
    Answer
    Given Expression ,

`= 3.5 ÷ 4.9 + 0.5 xx 0.3 - 0.1`

`= 3.5/4.9 + 0.15 - 0.1`

`= 5/7 + 15/100 - 1/10`

` 5/7 + (15 - 10)/100`

`= 5/7 + 5/100`

`= 5/7 + 1/20`

`= ((100 + 7)/(140))`

`= 107/140`

`= 0.764`






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