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Fractions A Basic Cookie Dough Mix Requires Butter, Sugar.flour and Chocolate Chips. (1)/(6) of the Mix Is Butter (1)/(3) of the Mix Is

Question

Fractions A basic cookie dough mix requires butter, sugar.flour and chocolate chips. (1)/(6) of the mix is butter (1)/(3) of the mix is sugar (1)/(4) of the mix is chocolate chips The rest of the mix is flour Calculate the fraction of the mix that is flour.

Answer

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Verificación de expertos
Evelyn Master · Tutor for 5 years

Answer

Substituting the given fractions into the formula, we get:\( 1 - (\frac{1}{6} + \frac{1}{3} + \frac{1}{4}) \)To add fractions, they must have the same denominator. The least common denominator (LCD) for 6, 3, and 4 is 12. So we convert each fraction to have this denominator: Now we can add these fractions: Subtracting this from 1 (which is equivalent to ) gives: So, the fraction of the mix that is flour is , which simplifies to .

Explanation

## Step 1:First, we need to identify the fractions of the mix that are butter, sugar, and chocolate chips. These are given as , , and respectively.## Step 2:To find the fraction of the mix that is flour, we need to subtract the fractions of the other ingredients from 1, because the total of all fractions in a mix should equal 1. ### The formula for this calculation is: \( 1 - (\text{fraction of butter} + \text{fraction of sugar} + \text{fraction of chocolate chips}) \)## Step 3:Substitute the given fractions into the formula and perform the calculation.