Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

evaluate. write your answer as a whole number or as a simplified fracti…

Question

evaluate. write your answer as a whole number or as a simplified fraction.
\\(\frac{2^2}{12^2}=\frac{\square}{\square}\\)

Explanation:

Step1: Calculate numerator and denominator

First, calculate \(2^2\) and \(12^2\).
\(2^2 = 2\times2 = 4\)
\(12^2 = 12\times12 = 144\)
So the fraction becomes \(\frac{4}{144}\).

Step2: Simplify the fraction

To simplify \(\frac{4}{144}\), we find the greatest common divisor (GCD) of 4 and 144, which is 4. Then divide both the numerator and the denominator by 4.
\(\frac{4\div4}{144\div4}=\frac{1}{36}\)

Answer:

\(\frac{1}{36}\)