Maths Olympiad Prep

Library / /81 of 168

Algebra Difficulty 1.8 Junior Find the answer

What fraction of the pizza is left for Wally if Jovin takes 13\frac{1}{3} of the pizza, Anna takes 16\frac{1}{6} of the pizza, and Olivia takes 14\frac{1}{4} of the pizza?

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Since Jovin, Anna and Olivia take 13,16\frac{1}{3}, \frac{1}{6} and 14\frac{1}{4} of the pizza, respectively, then the fraction of the pizza with which Wally is left is
1−13−16−14=1212−412−212−312=312=14 1-\frac{1}{3}-\frac{1}{6}-\frac{1}{4}=\frac{12}{12}-\frac{4}{12}-\frac{2}{12}-\frac{3}{12}=\frac{3}{12}=\frac{1}{4}

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: Omni-MATH, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.