select all the ratios that are equivalent to the ratio 12:3. explain how you know( show multiplication or division)A 6:1B1:4C4:1D24:6E15:6F1200:300G112:13​

Answer:C 4:1D 24:6F 1200:300Step-by-step explanation:The given ratio is  [tex]\frac{12}{3}[/tex]SimplifyDivide by 3 both numerator and denominator[tex]\frac{4}{1}[/tex]Verify each casecase A) we have[tex]\frac{6}{1}[/tex]Compare with the given ratio[tex]\frac{6}{1} \neq \frac{4}{1}[/tex]thereforeThe ratio is not equivalentcase B) we have[tex]\frac{1}{4}[/tex]Compare with the given ratio[tex]\frac{1}{4} \neq \frac{4}{1}[/tex]thereforeThe ratio is not equivalentcase C) we have[tex]\frac{4}{1}[/tex]Compare with the given ratio[tex]\frac{4}{1}=\frac{4}{1}[/tex]thereforeThe ratio is equivalentcase D) we have[tex]\frac{24}{6}[/tex]SimplifyDivide by 6 both numerator and denominator[tex]\frac{4}{1}[/tex]Compare with the given ratio[tex]\frac{4}{1}=\frac{4}{1}[/tex]thereforeThe ratio is equivalentcase E) we have[tex]\frac{15}{6}[/tex]SimplifyDivide by 3 both numerator and denominator[tex]\frac{5}{2}[/tex]Compare with the given ratio[tex]\frac{5}{2} \neq \frac{4}{1}[/tex]thereforeThe ratio is not equivalentcase F) we have[tex]\frac{1,200}{300}[/tex]SimplifyDivide by 300 both numerator and denominator[tex]\frac{4}{1}[/tex]Compare with the given ratio[tex]\frac{4}{1}=\frac{4}{1}[/tex]thereforeThe ratio is equivalentcase G) we have[tex]\frac{112}{13}[/tex] ----> irreducibleCompare with the given ratio[tex]\frac{112}{13} \neq \frac{4}{1}[/tex]thereforeThe ratio is not equivalent