1. Question:Find the H.C.F and L.C.M of` .63, 1.05`and `2.1`. 

    Answer
    Making the same number of decimal places ,the given numbers are `0.63, 1.05` and `2.10`.
    Without decimal places ,these numbers are `63, 105` and `210`.
    Now, H.C.F. of `.63, 1.05`and `210` is `21`.
    :.H.C.F of `.63, 1.05` and `2.1` is `0.21`.
    L.C.M. of `63, `05` & `210` is `630`.
    :.L.C.M of `63, 1.05` and `2.1` is `6.30`.






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  2. Question:Arrange the fractions `5/8, 7/12, 13/16, 16/29,`and `3/4` in acsending order of magnitude. 

    Answer
    Converting  each of the given fraction into decimal form, we get :
    
    `5/8 = 0.625, 7/12 = 0.5833, 13/16`
    
    ` = 0.8125, 16/29 = 0.5517 & 3/4 = 0.75`.
     
     Now `0.5517 < 0.5833 < 0.625 <0.75 < 0.8125`
     
     :. `16/29 < 7/12 <5/8 <3/4 < 13/16`.






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  3. 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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  4. 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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