Question

Foster makes sandwiches at a deli. There are 10 1/2 pounds of turkey at the deli. How many 1/4 pound turkey sandwiches can he make?

Answer 1

let's firstly convert the mixed fraction to improper fraction and then divide.

`\bf \textit{how many times does }10(1)/(2)\textit{ go into }(1)/(4)?\qquad 10(1)/(2)/ (1)/(4) \\\\\\ \stackrel{mixed}{10(1)/(2)}\implies \cfrac{10\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{21}{2}} \\\\\\ \cfrac{21}{2}/ \cfrac{1}{4}\implies \cfrac{21}{2}\cdot \cfrac{4}{1}\implies \cfrac{21}{1}\cdot \cfrac{4}{2}\implies \cfrac{21}{1}\cdot 2\implies 42`