# What is the absolute value of -7\frac{3}{4}. Write your answer as a mixed number.

What is the absolute value of $-7\frac{3}{4}$.
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Step 1
We know that if a fraction is positive then it is its own absolute value but if a fraction is negative then to find the absolute value of the fraction we will have to remove the negative sign of the fraction.
Firstly, we will change the given mixed fraction into the simple fraction.
Then using the same concept,we will find the absolute value of the function.
Step 2
$-7\frac{3}{4}=\frac{4\left(-7\right)+3}{4}=\frac{-28+3}{4}=\frac{-25}{4}\frac{4\left(-7\right)+3}{4}=\frac{-28+3}{4}=\frac{-25}{4}$
$i.e-7\frac{3}{4}=\frac{-25}{4}$
Now tha absolute value of $-7\frac{3}{4}$ will be -
$|-7\frac{3}{4}|=|\frac{-25}{4}|=\frac{25}{4}=7\frac{3}{4}$
i.e. the absolute value of $-7\frac{3}{4}is7\frac{3}{4}$