Calculations can be carried out using fractions of shapes and quantities. Mixed fractions can be added or subtracted to find the number of fractional parts in a mixed number.
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\(2\frac{3}{4}\) is a mixed number.
\(2\) is a whole number, and \(\frac{3}{4}\) is a fraction.
You can change this into a top-heavy fraction by writing \(\frac{{2 \times 4 + 3}}{4} = \frac{{11}}{4}\)
To change a top-heavy fraction into a mixed number, you first divide the top of the fraction (numerator) by the bottom (denominator).
For example \(\frac{{13}}{4} = 3\frac{1}{4}\), because \(4\) divides into \(13\) three times, with one left over.