Question

while taking inventory at his pastry shop, franklin realizes that he had 3 1/2 boxes of baking powder yesterday, but the supply is now down to 1 2/3 boxes. how much more baking powder did franklin have yesterday? write your answer as a fraction or as a whole or mixed number. boxes submit

Explanation:

Step1: Convert mixed numbers to improper fractions

Yesterday's amount: \( 3\frac{1}{2}=\frac{3\times2 + 1}{2}=\frac{7}{2} \)
Today's amount: \( 1\frac{2}{3}=\frac{1\times3 + 2}{3}=\frac{5}{3} \)

Step2: Subtract today's amount from yesterday's amount

Find a common denominator, which is 6.
\( \frac{7}{2}=\frac{7\times3}{2\times3}=\frac{21}{6} \)
\( \frac{5}{3}=\frac{5\times2}{3\times2}=\frac{10}{6} \)
Subtract: \( \frac{21}{6}-\frac{10}{6}=\frac{11}{6} \)

Step3: Convert back to mixed number

\( \frac{11}{6}=1\frac{5}{6} \)

Answer:

\( 1\frac{5}{6} \)