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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 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.

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.

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.

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EvelynMaster · Tutor for 5 years

Answer

Substituting the given fractions into the formula, we get:<br /><br />\( 1 - (\frac{1}{6} + \frac{1}{3} + \frac{1}{4}) \)<br /><br />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:<br /><br />\( \frac{1}{6} = \frac{2}{12} \)<br /><br />\( \frac{1}{3} = \frac{4}{12} \)<br /><br />\( \frac{1}{4} = \frac{3}{12} \)<br /><br />Now we can add these fractions:<br /><br />\( \frac{2}{12} + \frac{4}{12} + \frac{3}{12} = \frac{9}{12} \)<br /><br />Subtracting this from 1 (which is equivalent to \( \frac{12}{12} \)) gives:<br /><br />\( \frac{12}{12} - \frac{9}{12} = \frac{3}{12} \)<br /><br />So, the fraction of the mix that is flour is \( \frac{3}{12} \), which simplifies to \( \frac{1}{4} \).

Explain

## Step 1:<br />First, we need to identify the fractions of the mix that are butter, sugar, and chocolate chips. These are given as \( \frac{1}{6} \), \( \frac{1}{3} \), and \( \frac{1}{4} \) respectively.<br /><br />## Step 2:<br />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. <br /><br />### The formula for this calculation is: \( 1 - (\text{fraction of butter} + \text{fraction of sugar} + \text{fraction of chocolate chips}) \)<br /><br />## Step 3:<br />Substitute the given fractions into the formula and perform the calculation.
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