Question

A recipe calls for 2 3/4 cups of milk and if the recipe is tripled how much milk is needed

Answer 1

Here are two ways of solving this problem.

Method A. Using fractions.

You will need 3 times as much milk, so you need to multiply 3 by 2 3/4.

First, convert 2 3/4 into an improper fraction.

2 3/4 = 2 + 3/4 = 2/1 + 3/4 = 8/4 + 3/4 = 11/4

Now multiply 11/4 by 3.

3 * 11/4 = 3/1 * 11/4 = 33/4

Now convert 33/4 into a mixed numeral.

33/4 = 8 1/4

Answer: 8 1/4

Method B. Using decimals.

You will need 3 times as much milk, so you need to multiply 3 by 2 3/4.

First, convert 2 3/4 into a decimal number.

2 3/4 = 2.75

Now multiply 2.75 by 3.

3 * 2.75 = 8.25

Now convert 8.25 into a mixed numeral.

8.25 = 8 + 0.25 = 8 + 1/4 = 8 1/4

Answer: 8 1/4

Answer 2

Correct answer is: $8\frac{1}{4}$ cups milk needed if the recipe is tripled.

Solution:-

Given that a recipe calls for $2\frac{3}{4}$ cups of milk.

Let us convert that mixed fraction to proper fraction.

$2\frac{3}{4}=\frac{2*4+3}{4}=\frac{11}{4}$

If the recipe is tripled, milk also should be tripled.

Hence amount of milk = $3*\frac{11}{4}=\frac{33}{4}=8\frac{1}{4}$