Question

How do you convert -6.3 (3 repeating) to a fraction?

Answer 1

`-6.3bar(3) = - 6 1/3`

Explanation:

Let `x=-6.3bar3`
therefore
`color(white)("XXX")10x = -63.3bar3`
and
`{: (,10x,=,color(white)(-)-63.3bar3),(-,color(white)("0")1x,=,-(-color(white)(".")6.3bar3)) :}`
`underline(color(white)("XXXXXXXXXXXXXXXXX")`
`{: (color(white)(-),color(white)(0)9x,=,color(white)("XXXX")-57) :}`

`rArr x= -57/9 = -19/3 = -6 1/3`