Question

According to a recipe each batch of pancake mix can make 12 pancake. Kathy is making 3 batches for a brunch party. If each batch needs 7/12 cups of milk how much does she need in total?

Answer 1

Data

• Each batch makes 12 pancakes.

,

• 3 batches for the brunch.

,

• Each batch needs 7/12 cups of milk

,

• Total milk: unknown

Procedure

To determine how much milk do we need for 3 batches, we have to add three times the cups needed for one batch as follows:

`(7)/(12)+(7)/(12)+(7)/(12)`

Wich can also be written as a multiplication:

`3\cdot((7)/(12))`

Solving either way:

0. Addition

`(7)/(12)+(7)/(12)+(7)/(12)=(7+7+7)/(12)=(21)/(12)`

2. Multiplication:

`3\cdot((7)/(12))=(3\cdot7)/(12)=(21)/(12)`

Finally, we can simplify the resulting fraction as the denominator and numerator are divisible by 3:

`((21)/(3))/((12)/(3))=(7)/(4)`

Answer: 7/4 cups