Question

1. according to a recipe, each batch of pancake mix can make 12 pancakes. kathy is making 3 batches for a brunch party. if each batch needs $\frac{7}{12}$ cups of milk, how much milk does she need in total?
2. there are $\frac{7}{8}$ kilograms of salt in the kitchen. mrs. jackson used $\frac{2}{15}$ of the salt when she was preparing dinner. how much salt did she use?
3. according to a recipe, $\frac{9}{20}$ oz of sugar is needed to make 6 cookies. ashley decided to use only a third of the sugar to make it healthier. how much sugar did ashley use?

Explanation:

Step1: Identify the operation for problem 4

We need to find the total milk for 3 batches. Multiply batches by milk per - batch.
$3\times\frac{7}{12}$

Step2: Simplify the fraction for problem 4

$3\times\frac{7}{12}=\frac{3\times7}{12}=\frac{21}{12}=\frac{7}{4} = 1\frac{3}{4}$ cups

Step3: Identify the operation for problem 5

We need to find a fraction of a quantity. Multiply the total salt by the fraction used.
$\frac{7}{8}\times\frac{2}{15}$

Step4: Multiply the fractions for problem 5

$\frac{7\times2}{8\times15}=\frac{14}{120}=\frac{7}{60}$ kilograms

Step5: Identify the operation for problem 6

We need to find one - third of the sugar amount. Multiply the original sugar amount by $\frac{1}{3}$.
$\frac{9}{20}\times\frac{1}{3}$

Step6: Multiply the fractions for problem 6

$\frac{9\times1}{20\times3}=\frac{9}{60}=\frac{3}{20}$ oz

Answer:

1. $1\frac{3}{4}$ cups
2. $\frac{7}{60}$ kilograms
3. $\frac{3}{20}$ oz