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Express the following in the form of p/q;1) 3.2 11) 18.48 1) 1,419v 1.32 +0.35 |
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Answer» Let x = 1.32( bar on 2) x = 1.3222............ ------(1) 10x =10 × 1.3222 10x = 13.2222…… ------(2) Multiply eq 2 by 10 10 × 10x = 10 × 13.2222…... 100x = 132.2222…… ------(3) Subtract eq 2 from 3 100x - 10x =132.2222 - 13.2222 90x = 119 x= 119/90 Let y = 0.35 (bar on 35) y = 0.353535........ -------(1) Multiply eq 1 by 100 100y = 35. 353535..... -----(2) Subtract eq (1) from (2) 100y - y = 35. 353535 - 0.353535 99 y = 35 y = 35 / 99 ----------(3) GIVEN: 1. 32 (bar on 2) + 0.35 (bar on 35) x + y Put the value of x and y from above = 119 / 90 + 35 / 99 = (119× 11 + 35 × 10) / 990 = (1309 + 350)/990 = 1659/990 = 553/330 Hence, the value is 553/330. HOPE THIS ANSWER WILL HELP YOU... |
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