Converting fractions into decimals

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:

$$200 \div 7 = 0.035$$

Long division process:

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

Therefore, $7/200 = 0.035$