Question

simplify and write as a rational number of the form p/q:(i)6/7+1+-7/9+-12/7+19/21​

Answer 1

Answer:

$\frac{6}{7} + 1 + ( \frac{ - 7}{9} ) + \frac{( - 12)}{7} + \frac{19}{21}$

$open \: all \: brckets$

$\frac{6}{7} + 1 - \frac{7}{9} - \frac{ 12}{7} + \frac{19}{21}$

$take \: all \: positive \: numbers \: to \: one \: side \: and \: negatives \: to \: other \: side$

$\frac{6}{7} + 1 + \frac{19}{21} - \frac{7}{9} - \frac{12}{7}$

$lcm \: of \: positive \: numbers = 21$

$\frac{18 + 21 + 19}{21} - \frac{7}{9} - \frac{12}{7}$

$\frac{58}{21} - \frac{7}{9} - \frac{12}{7}$

$lcm \: of \: negative \: numbers = 63$

$\frac{58}{21} + \frac{ - 49 - 108}{63}$

$\frac{58}{21} - \frac{157}{63}$

$\frac{174 - 157}{63} = \frac{17}{63}$

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