Question
Simplify the rational expression. \[ \frac{539}{847} \]
Ask by Weston Wagner. in the United States
Nov 03,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
The simplified form is \( \frac{7}{11} \) or approximately 0.6363.
Solution
Calculate or simplify the expression \( 539/847 \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{539}{847}\)
- step1: Reduce the fraction:
\(\frac{7}{11}\)
The simplified form of the rational expression \( \frac{539}{847} \) is \( \frac{7}{11} \) or approximately 0.6363.
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Mind Expander
To simplify the rational expression \(\frac{539}{847}\), we need to find the greatest common divisor (GCD) of the numerator (539) and the denominator (847). Upon performing prime factorization, we find that both numbers can be divided by 7. Dividing both by 7 gives: \[ \frac{539 \div 7}{847 \div 7} = \frac{77}{121} \] Now, \(77\) can be factored as \(7 \times 11\) and \(121\) is \(11 \times 11\) or \(11^2\). Since both have \(11\) as a common factor, we can simplify further: \[ \frac{77 \div 11}{121 \div 11} = \frac{7}{11} \] Thus, the simplified form of the rational expression is: \[ \frac{7}{11} \]
