Question
Express the following rational numbers in standard form:
$\frac{84}{-147}$
$\frac{84}{-147}$
✓
Answer
$\frac{84}{-147}$Converting the number to a positive denominator:
$=\frac{84\times(-1)}{-147\times(-1)}=\frac{-84}{147}$
$H.C.F.$ of $84$ and $147$ is $21$
Dividing both the numerator and the denominator by $21$
$=\frac{-84\div(21)}{147\div(21)}$
$=\frac{-4}{7}$
$=\frac{84\times(-1)}{-147\times(-1)}=\frac{-84}{147}$
$H.C.F.$ of $84$ and $147$ is $21$
Dividing both the numerator and the denominator by $21$
$=\frac{-84\div(21)}{147\div(21)}$
$=\frac{-4}{7}$
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