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Mathematics

Express the following as a recurring decimal :

1790\dfrac{17}{90}

Decimals

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Answer

By actual division, we get:

0.188…90)17.00090.00800.0720.080072080\begin{array}{r} 0.188… \ 90 \overline{\smash{)} 17.000 } \ \underline{90} \phantom{.00} \ 800 \phantom{.0} \ \underline{720} \phantom{.0} \ 800 \phantom{} \ \underline{720} \phantom{} \ 80 \phantom{} \end{array}

1790=0.188…=0.18\dfrac{17}{90} = 0.188… = 0.1\overline{8}

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