Question

on friday, danielle sold 3 4/5 pitchers of lemonade from her lemonade stand. on saturday, she sold 3/5 as much lemonade as on friday. how many pitchers of lemonade did danielle sell on saturday? simplify your answer and write it as a fraction or as a whole or mixed number. pitchers submit

Explanation:

Step1: Convert mixed number to improper fraction

First, convert \( 3\frac{4}{5} \) to an improper fraction. The formula for converting a mixed number \( a\frac{b}{c} \) to an improper fraction is \( \frac{a\times c + b}{c} \). So for \( 3\frac{4}{5} \), we have \( a = 3 \), \( b = 4 \), \( c = 5 \). Then \( 3\times5 + 4 = 15 + 4 = 19 \), so \( 3\frac{4}{5}=\frac{19}{5} \).

Step2: Multiply by the fraction for Saturday

We need to find \( \frac{3}{5} \) of \( \frac{19}{5} \). To find a fraction of a number, we multiply the two fractions. So \( \frac{19}{5}\times\frac{3}{5}=\frac{19\times3}{5\times5}=\frac{57}{25} \).

Step3: Convert improper fraction to mixed number

Now, convert \( \frac{57}{25} \) to a mixed number. Divide 57 by 25: \( 25\times2 = 50 \), and \( 57 - 50 = 7 \). So \( \frac{57}{25}=2\frac{7}{25} \).

Answer:

\( 2\frac{7}{25} \)