1) $\mathbf{\frac{4}{8} = \frac{1}{2}}$

O maior divisor comum de 4 e 8 é 4:

$\mathbf{\dfrac{\textcolor{#ef4444}{4}}{\textcolor{#3b82f6}{8}}}$

= $\mathbf{\dfrac{\textcolor{#ef4444}{4} \div 4}{\textcolor{#3b82f6}{8} \div 4}}$

= $\mathbf{\dfrac{\textcolor{#ef4444}{1}}{\textcolor{#3b82f6}{2}}}$

2) $\mathbf{\frac{6}{9} = \frac{2}{3}}$

Cortando 6 e 9 pelo divisor comum 3:

$\mathbf{\dfrac{\textcolor{#ef4444}{6}}{\textcolor{#3b82f6}{9}}}$

= $\mathbf{\dfrac{\textcolor{#ef4444}{6} \div 3}{\textcolor{#3b82f6}{9} \div 3}}$

= $\mathbf{\dfrac{\textcolor{#ef4444}{2}}{\textcolor{#3b82f6}{3}}}$

3) $\mathbf{\frac{10}{25} = \frac{2}{5}}$

O divisor comum de 10 e 25 é 5:

$\mathbf{\dfrac{\textcolor{#ef4444}{10}}{\textcolor{#3b82f6}{25}}}$

= $\mathbf{\dfrac{\textcolor{#ef4444}{10} \div 5}{\textcolor{#3b82f6}{25} \div 5}}$

= $\mathbf{\dfrac{\textcolor{#ef4444}{2}}{\textcolor{#3b82f6}{5}}}$

4) $\mathbf{\frac{21}{28} = \frac{3}{4}}$

Tanto 21 quanto 28 são múltiplos de 7:

$\mathbf{\dfrac{\textcolor{#ef4444}{21}}{\textcolor{#3b82f6}{28}}}$

= $\mathbf{\dfrac{\textcolor{#ef4444}{21} \div 7}{\textcolor{#3b82f6}{28} \div 7}}$

= $\mathbf{\dfrac{\textcolor{#ef4444}{3}}{\textcolor{#3b82f6}{4}}}$

5) $\mathbf{\frac{40}{64} = \frac{5}{8}}$

O maior divisor comum de 40 e 64 é 8:

$\mathbf{\dfrac{\textcolor{#ef4444}{40}}{\textcolor{#3b82f6}{64}}}$

= $\mathbf{\dfrac{\textcolor{#ef4444}{40} \div 8}{\textcolor{#3b82f6}{64} \div 8}}$

= $\mathbf{\dfrac{\textcolor{#ef4444}{5}}{\textcolor{#3b82f6}{8}}}$

6) $\mathbf{\frac{63}{72} = \frac{7}{8}}$

O maior divisor comum de 63 e 72 é 9:

$\mathbf{\dfrac{\textcolor{#ef4444}{63}}{\textcolor{#3b82f6}{72}}}$

= $\mathbf{\dfrac{\textcolor{#ef4444}{63} \div 9}{\textcolor{#3b82f6}{72} \div 9}}$

= $\mathbf{\dfrac{\textcolor{#ef4444}{7}}{\textcolor{#3b82f6}{8}}}$

Questão Q14805