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
4.1
(317 Votes)
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.