To find out how much of the sandwich Rodney ate in total, you can add the fractions of the sandwich he ate on Monday and Tuesday.
He ate \( \frac{1}{4} \) of the sandwich on Monday and \( \frac{1}{3} \) of it on Tuesday.
The equation to find the total amount he ate is:
\[ \text{Total eaten} = \frac{1}{4} + \frac{1}{3} \]
To combine these fractions, you would need a common denominator. The least common denominator of 4 and 3 is 12.
So, you can convert the fractions:
\[ \frac{1}{4} = \frac{3}{12} \quad \text{and} \quad \frac{1}{3} = \frac{4}{12} \]
Now you can add them:
\[ \text{Total eaten} = \frac{3}{12} + \frac{4}{12} = \frac{7}{12} \]
Thus, the equation that shows how to find how much of the sandwich Rodney ate in total is:
\[ \frac{1}{4} + \frac{1}{3} = \text{Total eaten} \]
Or you could express the total as:
\[ \text{Total eaten} = \frac{7}{12} \]