Amir ate 1/4 of a pizza and Nadia ate 1/3 of the same pizza. What fraction of the pizza did they eat altogether?
Show Worked Solution
Worked Solution
Step 1: The fractions 1/4 and 1/3 have different denominators (unlike fractions).
Step 2: Find the lowest common denominator (LCD) of 4 and 3.
Multiples of 4: 4, 8, 12, 16 ...
Multiples of 3: 3, 6, 9, 12 ...
LCD = 12
Step 3: Convert each fraction to an equivalent fraction with denominator 12.
1/4 = (1×3)/(4×3) = 3/12
1/3 = (1×4)/(3×4) = 4/12
Step 4: Add the like fractions.
3/12 + 4/12 = 7/12
Step 5: Check whether 7/12 can be simplified. 7 and 12 share no common factor other than 1, so 7/12 is already in its simplest form.
Final answer: 7/12.
Correct answer: 7/12
Want more questions like this? Superholic Lab has 10,000+ MOE-aligned questions with full worked solutions.
Start Free Trial — 7 Days Free