Question

1. there was 3/8 of a pie left in the fridge. daniel ate 1/4 of the leftover pie. how much of a pie did he have?
2. olivia took out 8 glasses and poured juice from the pitcher. the capacity of each glass is 2/10 liter. if there was enough juice for 6 glasses, how much juice was there?
3. pam baked some cupcakes for her friends. she baked 24 cupcakes. each cupcake is 2/15 pound. if she packed 6 cupcakes in each box, what is the weight of each box?

Explanation:

Step1: Analyze the first problem

To find out how much of the pie Daniel ate, we multiply the fraction of the leftover pie by the fraction he ate of the leftover. So we calculate $\frac{3}{8}\times\frac{1}{4}$.
$\frac{3}{8}\times\frac{1}{4}=\frac{3\times1}{8\times4}=\frac{3}{32}$

Step2: Analyze the second problem

The capacity of each glass is $\frac{2}{10}$ liter and there was enough juice for 6 glasses. We multiply the capacity of one - glass by the number of glasses to find the total amount of juice. So we calculate $\frac{2}{10}\times6$.
$\frac{2}{10}\times6=\frac{2\times6}{10}=\frac{12}{10}=\frac{6}{5}$ liters

Step3: Analyze the third problem

Each cupcake weighs $\frac{2}{15}$ pound and each box has 6 cupcakes. We multiply the weight of one cupcake by the number of cupcakes in a box to find the weight of each box. So we calculate $\frac{2}{15}\times6$.
$\frac{2}{15}\times6=\frac{2\times6}{15}=\frac{12}{15}=\frac{4}{5}$ pounds

Answer:

1. $\frac{3}{32}$ of a pie
2. $\frac{6}{5}$ liters of juice
3. $\frac{4}{5}$ pounds per box