Answer:
[tex]\frac{14}{9}[/tex]
Step-by-step explanation:
To divide fractions, we multiply by the reciprocal of the divisor (i.e. the second fraction or in this case, the fraction on the bottom)
The reciprocal of number is simply its inverse: In this case, we want to multiply by the reciprocal of [tex]\frac{3}{8}[/tex], which is [tex]\frac{8}{3}[/tex]:
[tex]\frac{7}{12}[/tex] ÷[tex]\frac{3}{8}[/tex] = [tex]\frac{7}{12}[/tex] × [tex]\frac{8}{3}[/tex] = [tex]\frac{56}{36}[/tex]
To simply, we must divide [tex]\frac{56}{36}[/tex] by the Greatest Common Factor of both numbers, which is 4: [tex]\frac{56}{36}[/tex] ÷[tex]\frac{4}{4}[/tex] = [tex]\frac{14}{9}[/tex]
