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Andrew's milkshake recipe calls for [tex]\(\frac{5}{6}\)[/tex] of a scoop of ice cream, and Lexi's recipe calls for [tex]\(\frac{1}{3}\)[/tex] of a scoop. How many more scoops of ice cream are used in Andrew's recipe than in Lexi's recipe?

Answer :

To determine how many more scoops of ice cream are used in Andrew's recipe compared to Lexi's recipe, we need to subtract the amount used in Lexi's recipe from the amount used in Andrew's recipe.

Here's a step-by-step explanation:

1. Andrew's recipe uses [tex]\(\frac{5}{6}\)[/tex] of a scoop of ice cream.

2. Lexi's recipe uses [tex]\(\frac{1}{3}\)[/tex] of a scoop of ice cream.

3. To find out how many more scoops Andrew's recipe uses, we perform the subtraction:
[tex]\[\frac{5}{6} - \frac{1}{3}\][/tex]

4. Before subtracting these fractions, they must have the same denominator. The least common denominator (LCD) of 6 and 3 is 6.

5. Rewrite [tex]\(\frac{1}{3}\)[/tex] with the denominator of 6:
[tex]\[\frac{1}{3} = \frac{2}{6}\][/tex]

6. Now both fractions have the same denominator:
[tex]\[\frac{5}{6} - \frac{2}{6}\][/tex]

7. Subtract the numerators while keeping the same denominator:
[tex]\[\frac{5 - 2}{6} = \frac{3}{6}\][/tex]

8. Simplify the fraction [tex]\(\frac{3}{6}\)[/tex]:
[tex]\[\frac{3}{6} = \frac{1}{2}\][/tex]

So, Andrew's recipe uses [tex]\(\frac{1}{2}\)[/tex] (or 0.5) more scoops of ice cream than Lexi's recipe.

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