Question

2.218 only bar at 18 in decimal form

Answer 1

$let \;x = 2.2\bar{18} \\ \\ Multiply \: \; by \: \: 10\;\; on \;\;both \; \; sides\\ \\ \\ 10x = 22.\bar{18} \\ \\ \\ \mathbf{ as \;\;there \;\;are \;\;2 \;\;numbers\;\; under\;\; bar, \;\; multiply\;\; by \;\;100 } 1000x = 2218.\bar{18}$

subtract 10 x from both sides,

990x = 2196

x = 2196/990

2.218 ( bar) = 2196/990

Answer 2

$let \;x = 2.2\bar{18} \\ \\ Multiply \: \; by \: \: 10\;\; on \;\;both \; \; sides\\ \\ \\ 10x = 22.\bar{18} \\ \\ \\ \mathbf{ as \;\;there \;\;are \;\;2 \;\;numbers\;\; under\;\; bar, \;\; multiply\;\; by \;\;100 } 1000x = 2218.\bar{18}$

subtract 10 x from both sides,

990x = 2196

x = 2196/990

2.218 ( bar) = 2196/990

Answer 3

$let \;x = 2.2\bar{18} \\ \\ Multiply \: \; by \: \: 10\;\; on \;\;both \; \; sides\\ \\ \\ 10x = 22.\bar{18} \\ \\ \\ \mathbf{ as \;\;there \;\;are \;\;2 \;\;numbers\;\; under\;\; bar, \;\; multiply\;\; by \;\;100 } 1000x = 2218.\bar{18}$

subtract 10 x from both sides,

990x = 2196

x = 2196/990

2.218 ( bar) = 2196/990