Questions: A serving of four home-baked chocolate chip cookies weighs 35 grams and contains 10 grams of fat. What is the ratio, in lowest terms, of fat grams to total grams?

A serving of four home-baked chocolate chip cookies weighs 35 grams and contains 10 grams of fat. What is the ratio, in lowest terms, of fat grams to total grams?
Transcript text: A serving of four home-baked chocolate chip cookies weighs 35 grams and contains 10 grams of fat. What is the ratio, in lowest terms, of fat grams to total grams?
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Solution

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Solution Steps

To find the ratio of fat grams to total grams, divide the number of grams of fat by the total weight of the cookies. Then, simplify the resulting fraction to its lowest terms.

Step 1: Determine the Ratio of Fat Grams to Total Grams

To find the ratio of fat grams to total grams, we start by dividing the number of grams of fat by the total weight of the cookies. Given that the fat content is 10 grams and the total weight is 35 grams, the ratio is:

\[ \text{Ratio} = \frac{10}{35} \]

Step 2: Simplify the Ratio

Next, we simplify the fraction \(\frac{10}{35}\) to its lowest terms. The greatest common divisor (GCD) of 10 and 35 is 5. Therefore, we divide both the numerator and the denominator by 5:

\[ \frac{10}{35} = \frac{10 \div 5}{35 \div 5} = \frac{2}{7} \]

Final Answer

The simplified ratio of fat grams to total grams is \(\boxed{\frac{2}{7}}\).

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