Answer:
7/20
Step-by-step explanation:
[tex]\frac{3}{5}\div \frac{12}{7}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{3}{5}\times \frac{7}{12}[/tex]
[tex]Cancel\;common\;factor[/tex]
[tex]=\frac{1}{5}\times \frac{7}{4}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{7}{5\times \:4}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\times \:4=20[/tex]
[tex]=\frac{7}{20}[/tex]
Answer = 7/20
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