Question:Convert the following into vulgar fractions:
`i) 0.75` 

 `ii) 3.004`

 `iii) .0056` 

i) `.075`

  `= 75/100`

 ` = 3/4`

 ii) `3.004` 

  `= 3004/1000`

 ` = 751/250`

 iii) `.0056/10000` 

    `= 7/1250`

Question:Simplify the following fractions:
i) `1.84/2.99` ii) `.365/.584` 

i) `1.84/2.99` = `184/299` = `8/13`
ii) `.365/.584` = `365/584` = `5/8`

Question:Evaluate:
(i) 617 + 6.017 +.617 +6.0017 = ? 

617 + 6.017 +.617 +6.0017 =629.6357

Question:5.064 + 3.98 + .7036 + 7.6 + .3 + 2 = ? 

5.064 + 3.98 + .7036 + 7.6 + .3 + 2 =19.6476

Question:31.004 - 17.2386 =? 

31.004 - 17.2386 = 13.7654

Question:13 - 5.1967 = ? 

13 - 5.1967 = 7.8033

Question:(i) 67.32 + ? =431.146

(ii) 107.07 - ? =63.932 

(i) Let 67.32 + x =431.146

 Then x=(431.146 - 67.32)

 :. x = 363.826


 (ii) Let 107 - x =63.932

 Then x = (107 - 63.932)

 :. x = 43.138

Question:Find the products:
 (i) `6,3204 xx 100`

 (ii) `0.5791 xx 1000`

 (iii) `0.069 xx 10000` 

(i) `6,3204 xx 100 = 632.04`

 (ii) `0.5791 xx 1000 = 579.1`

 (iii) `0.069 xx 10000 = 690`

Question:Find the products:
(i) 2.61 x 1.3
(ii) 2.1693 x 1.4
(iii) .4 x .04 x .004 x 40 

(i) 261 x 13 = 3393 
The sum of decimal places of given numbers = (2 + 1) = 3
`:.` 2.61 x 1.3 = 3.393

(ii)  21693 x 14 = 303702
Sum of the decimal places =(4 + 1) =5
`:.` 2.1693 x 1.4 = 3.03702

(iii)  4 x 4 x 4 x 40 = 2560
Sum of the decimal places =(1 + 2 +3) =5
`:.`  .4 x .04 x .004 x 40 =.002560

Question:Divide:
(i) `0.63` by `9`
(ii) `0.0204` by `17`
(iii) `3.1603` by `13` 

(i) `63 /9 =7`
Dividend contains 4 places of decimal. 
`:. 63 / 9 =.07`

(ii) `204 /17 = 12`
Divided contains 4 places of decimal
`0.0204 / 17 =.0012`

(iii)  `31603 / 13 =2431`
Divided contains 4 places of decimal.
 `:. 3.1603 / 13 = .2431`