Welch Lang
04/21/2024 · Junior High School
Enter the fraction in simplest form. \( \frac{14}{49}=\square \)
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Step-by-step Solution
To simplify the fraction \( \frac{14}{49} \), we need to find the greatest common divisor (GCD) of the numerator (14) and the denominator (49).
The factors of 14 are: \( 1, 2, 7, 14 \)
The factors of 49 are: \( 1, 7, 49 \)
The greatest common divisor is 7.
Now, we divide both the numerator and the denominator by their GCD:
\[
\frac{14 \div 7}{49 \div 7} = \frac{2}{7}
\]
Thus, the fraction \( \frac{14}{49} \) in simplest form is:
\[
\frac{2}{7}
\]
So, \( \frac{14}{49} = \frac{2}{7} \).
Quick Answer
\( \frac{14}{49} = \frac{2}{7} \)
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