Explanation
Step 1: Determine the size of the pieces
The large pieces are 21 of the pizza divided into 4 pieces, making each large piece 21×41=81 of the whole pizza. The smaller pieces are 21 of the pizza divided into 6 pieces, making each smaller piece 21×61=121 of the whole pizza.
Step 2: Calculate the total fraction eaten
The person eats 1 large piece and 2 smaller pieces. The total fraction eaten is the sum of these portions:
Fraction Eaten=1×81+2×121=81+122
Simplifying the second term gives 122=61.
To combine these, we find a common denominator, which is 24:
Fraction Eaten=243+244=247
Step 3: Calculate the remaining fraction
The fraction remaining is the whole pizza (1) minus the fraction eaten:
Fraction Remaining=1−247=2424−247=2417
