Answer:
6 1/2
Step-by-step explanation:
[tex]2 \frac34 + 3\frac34[/tex]
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:
[tex]2 \frac34 + 3\frac34=\dfrac{2 \times 4+3}{4}+\dfrac{3 \times 4+3}{4}=\dfrac{11}{4}+\dfrac{15}{4}[/tex]
As the fractions have the same denominator, we can simply add the numerators:
[tex]\dfrac{11}{4}+\dfrac{15}{4}=\dfrac{11+15}{4}=\dfrac{26}{4}[/tex]
Convert back to a mixed number by dividing the numerator by the denominator. Writing the whole number followed by the remainder over the denominator:
[tex]\dfrac{26}{4}=6\frac24=6\frac12[/tex]
