The improper fraction 180/116 can be expressed as a mixed number with both a whole number and a fraction.As a mixed fraction, 180/116 is @$\begin{align*}1 \frac {16}{29}.\end{align*}@$

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So, the mixed fraction equivalent to 180/116 is written as @$\begin{align*}Quotient \frac{Remainder}{Divisor},\end{align*}@$ i.e.  @$\begin{align*}1 \frac {16}{29}.\end{align*}@$

Step 1: Look at the fraction. Simplify the fraction if you can. Divide the numerator and denominator by the greatest common factor. We know that 4 is the greatest common factor (or highest common factor, H.C.F.) of 180 and 116. So let us divide both 180 and 116 by 4. @$$\begin{align*}180 \div 4 & = 45 \\ 116 \div 4 & = 29\end{align*}@$$So, @$\begin{align*}\frac{45}{29}\end{align*}@$ is an equivalent fraction of @$\begin{align*}\frac{180}{116}\end{align*}@$ with lower terms.

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To convert an improper fraction to a mixed fraction (mixed number), divide the numerator by the denominator. This will tell you the number of wholes. If there is a remainder, it is the fraction part of a mixed fraction (mixed number). Here's the step-by-step process:

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Step 3: Write down the whole number quotient (1).Step 4: Write the remainder as the new numerator (16).Step 5: Keep the denominator of the reduced fraction (29).