Question

Draw grid of 16 squares and make patterns with $\frac{2}{8}$ red, $\frac{1}{2}$ green and $\frac{1}{4}$ yellow.

Answer 1

First we will make a grid with 16 equal divisions.

The grid is to be filled with $\frac{2}{8}$ red, $\frac{1}{2}$ green and $\frac{1}{4}$ yellow.

$\begin{array}{cc}\frac{2}{8}\text{red}& =\frac{2}{8}\times \frac{2}{2}\text{red}\\ & =\frac{2\times 2}{8\times 2}\text{red}\\ & =\frac{4}{16}\text{red}\end{array}$

$\begin{array}{cc}\frac{1}{2}\text{green}& =\frac{1}{2}\times \frac{8}{8}\text{green}\\ & =\frac{1\times 8}{2\times 8}\text{green}\\ & =\frac{8}{16}\text{green}\end{array}$

$\begin{array}{cc}\frac{1}{4}\text{yellow}& =\frac{1}{4}\times \frac{4}{4}\text{yellow}\\ & =\frac{1\times 4}{4\times 4}\text{yellow}\\ & =\frac{4}{16}\text{yellow}\end{array}$

So, we will colour 4 red, 8 green and 4 yellow blocks in the grid.