To find out how much milk you should use when increasing the recipe by a factor of \( 2 \frac{1}{2} \), first convert \( 2 \frac{1}{2} \) to an improper fraction.
-
Convert \( 2 \frac{1}{2} \) to an improper fraction: \[ 2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{4 + 1}{2} = \frac{5}{2} \]
-
Now multiply the original amount of milk \( \frac{2}{23} \) by \( \frac{5}{2} \): \[ \frac{2}{23} \times \frac{5}{2} = \frac{2 \times 5}{23 \times 2} = \frac{10}{46} \]
-
Simplify \( \frac{10}{46} \): \[ \frac{10 \div 2}{46 \div 2} = \frac{5}{23} \]
So, you should use \( \frac{5}{23} \) cups of milk for the increased recipe.
1 answer