Question:Evaluate: (i) `35/.07` (ii) `.00066/.11` (iii) `5.6/0.008`
(i) `35/.07` `=(35 xx 100)/(.07 xx 100)` `=3500/7` `=500` (ii) `.00066/.11` =`(.00066 xx 100)/(.11 xx 100)` =`.066/11` = `006` (iii) `5.6/0.008` `=(5.6 xx 100)/(.008 xx 100)` `=5600/8` `=700`
Question:(i) 0.006 / ? =0.6 (ii) ? / .025 = 80
(i) `0.006/x`=0.6 or x = `0.006/0.6` =`(0.006 xx 10)/(0.6 xx 10)` = `0.06/10` `=.01` (ii) `x/.025 = 80` or `x/.025=80` `:. x = 80 xx .025 =2`
Question:Find the H.C.F and L.C.M of .63, 1.05 and 2.1
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, 105 and 210 is 21. `:.` H.C.F of. 63, 1.05 and 2.10 is 0.21. L.C.M of 63, 105 and 210 is 630. `:.` L.C.M of .63, 1.05 and 2.1 is 6.30
Question:Arrange the fractions `5/8`, `7/12`, `13/16`, `16/29` and `3/4` in ascending order of magnitude.
Converting each of the given fractions 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`
Question:Express the following as vulgar fractions: (i) `0.^-6` (ii) `0.37^--` (iii) `0.053^---` (iv) `3.142857^------`
(i) `0.6^-` =`6/9` =`2/3`