Question

Pizza Palace cuts a medium pizza into 8 slices. The same size pizza at Pizza Pioneers is cut into 16 slices. Jasmine ate 4 slices of a medium pizza from Pizza Pioneers. What fraction of the pizza from Pizza Palace is equal to 4/16? Explain.

Answer 1

Pizza palace cuts the medium size pizza into 8 slices.

Pizza pioneers cuts the same size pizza into 16 slices.

Jasmine ate 4/16 pizza in Pizza pioneers,

The ratio of Pizza palace slices to Pizza pioneer slices is;

Pizza palace : Pizza pioneer = 8 : 16 = 1 : 2

Let fraction of pizza in Pizza palace to 4/16 pizza in Pizza pioneer be;

x : 4/16 , Simplified becomes x : 1/4

Comparing ratios:

Pizza Palace slices : Pizza Pioneer slices = 1 : 2

and

Pizza Palace fraction : Pizza Pioneer fraction = x : 1/4

As Pizza Palace slices are half those in Pizza pioneer;

x should be half the fraction of slices Jasmine ate in Pizza Pioneer

i.e x = 1/2 × 1/4 = 1/8

Therefore the fraction of pizza from Pizza Palace which is equal to 4/16 slices from Pizza Pioneer is 1/8 .