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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?

Sagot :

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:

[tex]\frac{7}{12}+\frac{7}{12}+\frac{7}{12}[/tex]

Wich can also be written as a multiplication:

[tex]3\cdot(\frac{7}{12})[/tex]

Solving either way:

0. Addition

[tex]\frac{7}{12}+\frac{7}{12}+\frac{7}{12}=\frac{7+7+7}{12}=\frac{21}{12}[/tex]

2. Multiplication:

[tex]3\cdot(\frac{7}{12})=\frac{3\cdot7}{12}=\frac{21}{12}[/tex]

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

[tex]\frac{\frac{21}{3}}{\frac{12}{3}}=\frac{7}{4}[/tex]

Answer: 7/4 cups