Respuesta :
ANSWER
[tex]12\frac{1}{2}[/tex]EXPLANATION
We want to reduce the given fraction to the lowest terms.
To do that, we have to check if we can divide the numerator and denominator by a common factor.
Since 50 and 4 are divisible by 2, we can reduce the fraction:
[tex]\begin{gathered} \frac{50}{4} \\ \Rightarrow\frac{25}{2} \end{gathered}[/tex]To write it as a mixed fraction, we want to write it as a mixture of a whole number and a fraction.
To do this, find the greatest multiple of 2 that is less than 25, divide it by 2, and then, write the difference of 25 and the multiple as a numerator.
The greatest multiple of 2 less than 25 is 24. Hence, we have that:
[tex]\begin{gathered} \frac{24}{2}+\frac{25-24}{2} \\ \Rightarrow12+\frac{1}{2} \\ \Rightarrow12\frac{1}{2} \end{gathered}[/tex]That is the fraction as a mixed number in the lowest terms.
