Question

A cookie recipe calls for 1 2/3 of sugar if you plan on changing the recipe to make it 2 1/2 times as much how many cups of sugar will you need
Pls show work

Answer 1

Answer:

$4\frac{1}{6}\ cups$

Step-by-step explanation:

we know that

The recipe calls for 1 2/3 of sugar

To make 2 1/2 times the recipe

Multiply 2 1/2 by 1 2/3

Convert mixed numbers to an improper fraction

$1\frac{2}{3}=\frac{1*3+2}{3}=\frac{5}{3}\ cups$

$2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}$

so

$\frac{5}{2}(\frac{5}{3})=\frac{25}{6}\ cups$

Convert to mixed number

$\frac{25}{6}=\frac{24}{6}+\frac{1}{6}=4\frac{1}{6}\ cups$