Question

Convert 6 2/3 cups to pints. Express your answer in simplest form.

Answer 1

3 1/3

Explanation:

Answer 2

first off, let's convert the mixed fraction to "improper", keeping in mind that, there are 2 cups in 1 pint.


`\bf \stackrel{mixed}{6(2)/(3)}\implies \cfrac{6\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{20}{3}} \\\\\\ \begin{array}{ccll} cups&pints\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 2&1\\\\ (20)/(3)&p \end{array}\implies \cfrac{\quad 2\quad }{(20)/(3)}=\cfrac{1}{p}\implies \cfrac{\quad (2)/(1)\quad }{(20)/(3)}=\cfrac{1}{p}`


`\bf \cfrac{2}{1}\cdot \cfrac{3}{20}=\cfrac{1}{p}\implies \cfrac{3}{10}=\cfrac{1}{p}\implies p=\cfrac{10\cdot 1}{3}\implies p=\cfrac{10}{3}\implies p=3(1)/(3)`