To write a mixed fraction as an improper fraction, simply multiply the denominator by the whole number and add on the result to the numerator. The denominator part will remain the same throughout.
[tex]10\frac{3}{4} [/tex]
In this case: - 10 is the whole number component - 3 is the numerator - 4 is the denominator
Multiple the denominator (4) by the whole number component (10). 4×10=40
Add the numerator (3) to the answer you had in the previous step (40). 3+40=43
Since the denominator remains same throughout, in this case, [tex] 10\frac{3}{4} [/tex] as an improper fraction would be [tex] \frac{43}{4} [/tex]
