Question

evaluate the expression.
do not round your answer.
\\(dfrac{17}{6^2} - dfrac{5}{9 cdot 4} =\\)
your answer should be

• a proper fraction, like 1/2 or 6/10
• an improper fraction, like 10/7 or 14/8

Explanation:

Step1: Calculate the denominators

First, calculate \(6^2\) and \(9 \cdot 4\).
\(6^2 = 6\times6 = 36\), and \(9\cdot4 = 36\). So the expression becomes \(\frac{17}{36}-\frac{5}{36}\).

Step2: Subtract the fractions

Since the denominators are the same, we subtract the numerators: \(\frac{17 - 5}{36}=\frac{12}{36}\).

Step3: Simplify the fraction

Simplify \(\frac{12}{36}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 12. \(\frac{12\div12}{36\div12}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)