Express 1.3222... + 0.3555... in p/q form
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Step-by-step explanation:
Let x = 1.32( bar on 2)
x = 1.3222............ ------(1)
Multiply eq 1 by 10
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.
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