Exercises

Calculate the solution of the following divisions:

%%16:0.25%%

%%16:0.25%%

Multiply both figures with %%100%% to turn %%0.25%% into an integer.

%%16:0.25\\=(16\cdot100):(0.25\cdot100)\\=1600:25%%

Utilize long division.

%%\begin{array}{l} \hphantom{25)}\underline{\;\hphantom{.16}\color{green}{64}}\\ 25)\hphantom{-}1600\\ \hphantom{25)}\underline{-150}\\ \hphantom{25)}\hphantom{-1}100\\ \hphantom{25)}\hphantom{0}\underline{-100}\\ \hphantom{25)}\hphantom{-000}0 \end{array}%%

%%\Rightarrow16:0.25=\color{green}{64}%%

%%8.5 : 0.160%%

%%8.5 : 0.160%%

Write the denominator as %%0.16%% instead of %%0.160%%. Omitting zeros at the end of a decimal fraction does not change the figure.

%%8.5 : 0.160 = 8.5 : 0.16%%

Multiply both figures with %%100%% to turn %%0.16%% into an integer.

%%8.5:0.16\\ =(8.5\cdot100):(0.16\cdot100)\\ =850:16%%

Utilize long division.

%%\begin{array}{l} \hphantom{25)}\underline{\;\hphantom{60}\color{green}{53.125}}\\ 16)\hphantom{-}850.000\\ \hphantom{16)}\underline{-80}\\ \hphantom{16)}\hphantom{-1}50\\ \hphantom{16)}\hphantom{0}\underline{-48}\\ \hphantom{16)}\hphantom{-00}2.0\\ \hphantom{16)}\hphantom{00}\underline{-1.6}\\ \hphantom{16)}\hphantom{-00.0}40\\ \hphantom{16)}\hphantom{0.00}\underline{-32}\\ \hphantom{16)}\hphantom{-0.000}80\\ \hphantom{16)}\hphantom{000.0}\underline{-80}\\ \hphantom{16)}\hphantom{-000.00}0 \end{array}%%

%%\Rightarrow8.5:0.160=\color{green}{53.125}%%

%%0.125:0.5%%

%%0.125:0.5%%

Multiply both figures with %%1000%% to turn %%0.125%% into an integer.

%%\hphantom{=.}0.125:0.5\\=(0.125\cdot1000):(0.5\cdot1000)\\=125:500%%

Utilize long division.

%%\begin{array}{l} \hphantom{251)}\underline{\;\hphantom{160}\color{green}{0.25}}\\ 500)\hphantom{-}125.00\\ \hphantom{500)}\underline{-\hphantom{12}0}\\ \hphantom{500)}\hphantom{-}125.0\\ \hphantom{500)}\underline{-100.0}\\ \hphantom{500)}\hphantom{-0}25.00\\ \hphantom{500)}\hphantom{0}\underline{-25.00}\\ \hphantom{500)}\hphantom{-000.0}0 \end{array}%%

%%\Rightarrow0.125:0.5=\color{green}{0.25}%%

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