Question

Reduce 50/4 to lowest terms. Write the answer as a mixed number.

Answer 1

`12(1)/(2)`

Step-by-step 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:

`\begin{gathered} (50)/(4) \\ \Rightarrow(25)/(2) \end{gathered}`

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:

`\begin{gathered} (24)/(2)+(25-24)/(2) \\ \Rightarrow12+(1)/(2) \\ \Rightarrow12(1)/(2) \end{gathered}`

That is the fraction as a mixed number in the lowest terms.