Question

express the following in p/q form but) 0.(bar on 37)
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Answer 1

Answer:

Question:

${ \sf{Express \: 0.{ \bar{37}} \: in \: p/q \: form}}$

Solution:

$: { \implies{ \sf{x = 0. 3737....}}} \\ \\ : { \implies{ \sf{100x = 37.3737....(1)}}} \\ \\ : { \implies{ \sf{x = 0.3737....(2)}}} \\ \\ {{ \sf{subract \: equation(1)and(2)}}} \\ \\ : { \implies{ \sf{100x - x = 37.3737.. - 0.3737..}}} \\ \\ : { \implies{ \sf{99x = 37.00}}} \\ \\ : { \implies{ \sf{x = \frac{37}{99} }}}$

Therefore,

• P/q form of 0.37 bar is 37/99