A mother buys two pizzas for her husband and son.
The first pizza is divided into 3 equal slices, while the second is divided into 9 equal slices.
The husband eats 1 slice of the first pizza and the son eats 2 slices of the second pizza.
How much do the father and son eat in total?
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A mother buys two pizzas for her husband and son.
The first pizza is divided into 3 equal slices, while the second is divided into 9 equal slices.
The husband eats 1 slice of the first pizza and the son eats 2 slices of the second pizza.
How much do the father and son eat in total?
To solve this problem, we need to express the portions eaten by the husband and the son as fractions of their respective pizzas and then add these fractions.
First, let's express the husband's consumption as a fraction. The husband eats 1 slice from the first pizza, which is divided into 3 equal slices. Therefore, the husband eats:
of the first pizza.
Next, express the son's consumption as a fraction. The son eats 2 slices from the second pizza, which is divided into 9 equal slices. Therefore, the son eats:
of the second pizza.
Now, to add these fractions, we need a common denominator. The denominators here are 3 and 9. The least common denominator for these is 9. So, we convert to have a denominator of 9:
.
Now, add the fractions:
.
Therefore, the total amount the husband and the son eat in total is of the combined pizzas.
Thus, the correct answer is .
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
You can't add different sized pieces! Think of it like adding 1 apple slice and 2 orange slices - you need to convert them to the same size first. Convert to ninths: .
Look for the least common multiple of the denominators. Since 9 is already a multiple of 3 (9 = 3 × 3), use 9 as your common denominator. Convert .
Great question! This problem assumes both pizzas are the same size. In real life, if pizzas were different sizes, we'd need more information. But for fraction addition practice, we treat them as equal whole units.
The denominator tells you how many equal parts the whole is divided into. When you add fractions with the same denominator, you're just counting more pieces of the same size, so the denominator stays the same!
No, is already in lowest terms! Since 5 and 9 don't share any common factors (5 is prime, 9 = 3²), this fraction cannot be simplified.
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