Answer: 1/12 of the cake.
Step-by-step explanation:
First, find the LCM (Least Common Multiple) of 3 and 4. The easiest way to do this is to multiply the two together. 3*4 = 12.
Now, convert each fraction to be out of twelfths. Do this by setting up a proportion. 2/3 = x/12. Cross multiply and divide. 2*12 = 24. 24/3 = 8. Therefore, 2/3 = 8/12.
Do the same for 1/4. 1/4 = x/12. Cross multiply and divide. 12*1 = 12. 12/4 = 3. Therefore, 1/4 = 3/12.
Now add these two fractions by adding the numerators and keeping the denominators the same. 8/12 + 3/12 = 11/12.
Subtract this answer from 1 (12/12). 12/12 - 11/12 = 1/12
