Answer:
Not equivalent
Step-by-step explanation:
A fraction is a part of whole .
Two fractions are said to be equivalent if their lowest forms are same .'A fraction [tex]\frac{a}{b}[/tex] is said to be in lowest form if [tex]HCF(a,b)=1[/tex].
Given :
Number of girls = 12
Number of boys = 16
So, fraction = [tex]\frac{Number\,\, of\,\, girls}{Number\,\, of\,\, boys}[/tex]
=[tex]\frac{12}{16}=\frac{2\times 2\times 3}{2\times 2\times 2\times 2}=\frac{3}{4}[/tex]
Number of girls = 26
Number of boys = 14
So, fraction = [tex]\frac{Number\,\, of\,\, girls}{Number\,\, of\,\, boys}=\frac{26}{14}=\frac{2\times 13}{2\times 7}=\frac{13}{7}[/tex]
As [tex]\frac{3}{4}\neq \frac{13}{7}[/tex] , these fractions are not equivalent .
