Question

Rewrite:
`15(1)/(6)` as a decimal. Round to the nearest thousandths.

Answer 1

I think the answer is 15.167

Answer 2

`15 (1)/(6)=15.167\:\:\sf(nearest\:thousandth)`

Explanation:

`15 (1)/(6)=15+(1)/(6)`

Convert ¹/₆ into a decimal by using long division:

`\large \begin{array}{r}0.1\:6\:6\phantom{..}\\6{\overline{\smash{\big)}\,1. 0 \:0\: 0\: \phantom{.}}}\\{-~\phantom{(}\underline{0.6\:0\phantom{-)}}\\0.4\:0\:\:\phantom{))}\\-~\phantom{()}\underline{0.3\:6\:\:\phantom{))}}\\0.0\:4\:0\:\:\phantom{}\\-~\phantom{()}\underline{0.0\:3\:6\:\:\phantom{}}\\0.0\:0\:4\:\:\phantom{}\\\end{array}`

Therefore, ¹/₆ = 0.166666.....

`\begin{aligned}\implies 15 (1)/(6) & =15+(1)/(6)\\\\& = 15 + 0.166666...\\\\& = 15.166666...\\\\& = 15.167\:\:\sf(nearest\:thousandth)\end{aligned}`