Respuesta :
7/12.
If you make 1/3, 5/12, and 1/2 the same denominator, it will be:
4/12,5/12,and 6/12.
you can see that these fractions are increasing 1/12 for each day. so on the forth day, it will be 7/12.
If you make 1/3, 5/12, and 1/2 the same denominator, it will be:
4/12,5/12,and 6/12.
you can see that these fractions are increasing 1/12 for each day. so on the forth day, it will be 7/12.
Answer:
[tex]\bf\textbf{Part of auditorium filled on fourth day = }\frac{7}{12}[/tex]
Step-by-step explanation:
[tex]\text{Part of the auditorium filled on first day = }\frac{1}{3}\\\\\text{Part of the auditorium filled on second day = }\frac{5}{12}\\\\\text{Increase in the part of auditorium filled on second day than first day = }\frac{5}{12}-\frac{1}{3}\\\\=\frac{5-4}{12}\\\\=\frac{1}{12}[/tex]
[tex]\text{Part of the auditorium filled on third day = }\frac{1}{2}\\\\\text{Increase in the part of auditorium filled on third day than second day = }\frac{1}{2}-\frac{5}{12}\\\\=\frac{6-5}{12}\\\\=\frac{1}{12}[/tex]
[tex]\text{Hence, each day the auditorium is filled }\frac{1}{12}\text{ part more}\\\\\bf\textbf{So, Part of auditorium filled on fourth day = }\frac{1}{2}+\frac{1}{12}\\\\\frac{6+1}{12}\\\\=\frac{7}{12}[/tex]
