how many pizzas are required if mario eats 1/3 of a pizza, Luigi eats 3/5 of a pizza, and Bruno eats 1 1/4?
0.333 + 0.6 + 1.25 = ?
To calculate the total number of pizzas required, we need to find the sum of the fractions representing the amount each person eats, and then convert it to a whole number or mixed number.
Let's calculate it step by step:
1. Mario eats 1/3 of a pizza.
2. Luigi eats 3/5 of a pizza.
3. Bruno eats 1 1/4 of a pizza.
Adding the fractions:
To add the fractions, we need to find a common denominator. The common denominator will be the least common multiple (LCM) of the denominators.
The denominators are 3, 5, and 4. The LCM of 3, 5, and 4 is 60.
Now let's convert each fraction to have the common denominator of 60:
1/3 = (1 × 20)/(3 × 20) = 20/60
3/5 = (3 × 12)/(5 × 12) = 36/60
1 1/4 = (1 × 4 + 1)/(4 × 4) = 5/4 = (5 × 15)/(4 × 15) = 75/60
Now we can add the fractions:
20/60 + 36/60 + 75/60 = 131/60
Converting to a mixed number:
Since we want to know the number of whole pizzas, we need to convert the fraction 131/60 to a mixed number.
Divide the numerator (131) by the denominator (60):
131 ÷ 60 = 2 remainder 11
The mixed number is 2 11/60.
So, Mario, Luigi, and Bruno eat a total of 2 11/60 pizzas.
To determine how many whole pizzas are required, we can round the mixed number up to the nearest whole number. Therefore, we would need a total of 3 pizzas.