Copy and complete the following list of equivalent fractions of $1 \over 2$.

Fill in the equivalent fractions of $3 \over 5$. $$\frac{3}{5}=\frac{?}{10}=\frac{9}{?}=\frac{12}{?}=\frac{?}{30}=\frac{?}{50}$$

Cancel down the following fractions into their simplest forms

1. $\frac{4}{8}$
2. $\frac{9}{15}$
3. $\frac{36}{45}$

1. 4 and 8 have a common factor of 4, so each number in the fraction (numerator and denominator) must be divided by 4 $\frac{4\div4}{8\div4}=\frac{1}{2}$
2. 9 and 15 both divide by 3, so we divide each number by 3, $\frac{9\div3}{15\div3}=\frac{3}{5}$
3. 36 and 45 have a common factor of 9, $\frac{36\div9}{45\div9}=\frac{4}{5}$

1. $\frac{4}{8}=\frac{1}{2}$
2. $\frac{9}{15}=\frac{3}{5}$
3. $\frac{36}{45}=\frac{4}{5}$

${14 \over 20}$ already has the correct denominator.

$$\begin{aligned}\frac{4}{5}=\frac{16}{20} &\\ \frac{3}{4}=\frac{15}{20}\end{aligned} $$

Now that each fraction is written with the same denominator, we can simply look at the numerators of the fractions and put them in order.