Answer:
[tex]1\frac{17}{25}[/tex]
Step-by-step explanation:
[tex]\frac{7}{10}\div \frac{5}{12}[/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{7}{10}\times \frac{12}{5}[/tex]
[tex]=\frac{7}{5}\times \frac{6}{5}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{7\times \:6}{5\times \:5}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:7\times \:6=42[/tex]
[tex]=\frac{42}{5\times \:5}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\times \:5=25[/tex]
[tex]=\frac{42}{25}[/tex]
Mixed Fraction:
1 17/25
~Lenvy~