Mark and Aly were selling slices of pizza for a school event. Mark had
2 1/3 of a pizza pie left over. Aly had
1 5/ 9 left. Together, how much pizza did Mark and Aly have left?

Respuesta :

Answer:

Mark and Aly have left 35/9 or [tex]3\frac{8}{9}[/tex] pizza.

Step-by-step explanation:

Mark's pizza leftover  = 2 1/3

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]

                                [tex]2\frac{1}{3}=\frac{2\cdot 3+1}{3}=\frac{7}{3}[/tex]

Aly's pizza leftover  = 1 5/9

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}[/tex]

                              [tex]1\frac{5}{9}=\frac{1\cdot 9+5}{9}=\frac{14}{9}[/tex]

The combined leftover pizza of Mark and Aly can be determined by adding the leftover of both pizza

i.e.

[tex]\frac{7}{3}+\frac{14}{9}[/tex]

[tex]=\frac{21}{9}+\frac{14}{9}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]

[tex]=\frac{21+14}{9}[/tex]

[tex]=\frac{35}{9}[/tex]    or  [tex]3\frac{8}{9}[/tex]

Thus, Mark and Aly have left 35/9 or [tex]3\frac{8}{9}[/tex] pizza.