Question

What is the total pizza eaten by Alex and his sister, if Alex ate " <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{2}{3}$ rd of his pizza and his sister ate <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{3}{4}$th of her pizza?

Answer 1

Pizza eaten by Alex's sister = $\frac{2}{3}$

Pizza eaten by Alex = $\frac{3}{4}$

Thus, total pizza eaten by them = $\frac{2}{3}$ + $\frac{3}{4}$

= $\frac{2\times 4}{3\times 4}$ + $\frac{3\times 3}{4\times 3}$

= $\frac{8}{12}$ + $\frac{9}{12}$

= $\frac{17}{12}$ = 1 $\frac{5}{12}$

So, they have eaten 1 $\frac{5}{12}$ total.