Mccarthy Cross
04/15/2024 · Junior High School
\( 1 \leftarrow \quad \begin{array}{l}\text { Express as a fraction. } \\ 28 \text { ounces to } 36 \text { ounces } \\ \text { The answer is } \square \text {. (Simplify your answer.) }\end{array} \)
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Step-by-step Solution
To express the ratio of 28 ounces to 36 ounces as a fraction, we can write it as:
\[
\frac{28}{36}
\]
Next, we simplify this fraction. We can find the greatest common divisor (GCD) of 28 and 36.
The factors of 28 are: \(1, 2, 4, 7, 14, 28\)
The factors of 36 are: \(1, 2, 3, 4, 6, 9, 12, 18, 36\)
The GCD of 28 and 36 is 4. Now we divide both the numerator and the denominator by their GCD:
\[
\frac{28 \div 4}{36 \div 4} = \frac{7}{9}
\]
Thus, the simplified fraction representing the ratio of 28 ounces to 36 ounces is:
\[
\frac{7}{9}
\]
So, the answer is \( \boxed{\frac{7}{9}} \).
Quick Answer
The answer is \( \frac{7}{9} \).
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