Answer:
6 1/2
Explanation:
![2 \frac34 + 3\frac34](https://img.qammunity.org/2023/formulas/mathematics/college/4dck522rvrn7pfjrbz3m1u9iwtgx4yka81.png)
Convert them to improper fractions by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, then putting it over the denominator:
![2 \frac34 + 3\frac34=(2 * 4+3)/(4)+(3 * 4+3)/(4)=(11)/(4)+(15)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/z7vu74yp1it0forz00j54xb42gsl3hchlp.png)
As the fractions have the same denominator, we can simply add the numerators:
![(11)/(4)+(15)/(4)=(11+15)/(4)=(26)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/448spn50s148nxnfvd7u4qzi62f0s8nlb0.png)
Convert back to a mixed number by dividing the numerator by the denominator. Writing the whole number followed by the remainder over the denominator:
![(26)/(4)=6\frac24=6\frac12](https://img.qammunity.org/2023/formulas/mathematics/college/oxsz37yajgyekpzkqra2tqr75ymftzib72.png)