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Converting fractions into decimals

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Converting fractions into decimals

When converting fractions into decimals, use long division method to divide the numerator by the denominator.

Convert 7/200 into decimal.

Solution

This is a simple fraction. Use long division method to divide the numerator (7) by the denominator (200) as follows:

Perform the division:

200÷7=0.035200 \div 7 = 0.035

Long division process:

0.035200)700600100010000\begin{array}{r|l} 0.035 & 200\overline{\smash{)700}} \\ & -600 \\ \hline & 1000 \\ & -1000 \\ \hline & 0 \end{array}

Therefore, 7/200=0.0357/200 = 0.035

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