Question

express 2.031 bar in the form p/q

Answer 1

hiii!!!

here's ur answer...

given :- 2.031313131...

let x be = 2.03131313131... --------(1)

multiplying both sides by 100

100 × x = 100 × 2.031313131...

100x = 203.1313131... --------(2)

subtract equation (1) from equation (2)

100x - x = 203.131313131... - 2.031313131...

99x = 201.1

x = 201.1/99

we know that p and q in the form of p/q should be integers.

here p = 201.1 is not an integer so we will multiply the fraction by 10.

x = 201.1×10/99×10

x = 2011/990

hope this helps..!!

Answer 2

Let the x = 2.031 bar
10x = 20.31 bar ------1
1000x = 2031.31 bar---------2
Subtracting equation 1 from 2
1000x - 10x = 2031.31 bar - 20.31 bar
990x = 2011
x = 2011/990