A _____ _______ is the sum of a whole number and a proper fraction

Explanation

A mixed number is the sum of a whole number and a proper fraction.  For example, \(3\frac34\) is a mixed number

$3\frac34 = \underset{Whole-number part}{3} + \underset{Fraction-part}{\frac34}$

Mixed numbers can be represented by shaded regions.  In the illustration below, each rectangular region outlined in black represents one whole.  To represent \(3\frac34\), we shade 3 whole rectangular regions and 3 out of 4 parts of another.

Note that \(3\frac34\) means 3 + \(\frac34\), even though the + symbol is not written.  Do not confuse \(3\frac34\) with 3 • \(\frac34\) or \(3\left(\frac34\right)\), which indicate the multiplication of 3 by \(\frac34\)