Question

there are 9 people at a party, each person wants pizza. only 4/6 of a pizza is left. how much pizza will each person get if they split it evenly?
36/6
4/54
4/15
2/27

Explanation:

Step1: Understand the problem

We need to divide the remaining pizza ($\frac{4}{6}$) among 9 people. So we use division: $\frac{4}{6} \div 9$.

Step2: Convert division to multiplication

Dividing by a number is the same as multiplying by its reciprocal. So $\frac{4}{6} \div 9=\frac{4}{6} \times \frac{1}{9}$.

Step3: Multiply the fractions

Multiply the numerators: $4\times1 = 4$. Multiply the denominators: $6\times9 = 54$. So we get $\frac{4}{54}$, which can be simplified by dividing numerator and denominator by 2: $\frac{4\div2}{54\div2}=\frac{2}{27}$? Wait, no, wait. Wait, $\frac{4}{6}$ simplifies to $\frac{2}{3}$ first. Then $\frac{2}{3} \div 9=\frac{2}{3} \times \frac{1}{9}=\frac{2}{27}$? Wait, no, the options have 4/54 and 2/27. Wait, let's check again. Wait, original remaining pizza is 4/6, divide by 9. So $\frac{4}{6} \div 9=\frac{4}{6\times9}=\frac{4}{54}=\frac{2}{27}$. Wait, but let's check the options. Wait, 4/54 is also an option, and 2/27 is also an option. Wait, 4/54 simplifies to 2/27. But let's see the calculation again. Wait, 4/6 divided by 9: $\frac{4}{6} \div 9=\frac{4}{6} \times \frac{1}{9}=\frac{4}{54}=\frac{2}{27}$. Wait, but maybe I made a mistake. Wait, 4/6 is the same as 2/3. Then 2/3 divided by 9 is 2/(39)=2/27. But the options are 36/6, 4/54, 4/15, 2/27. Wait, 4/54 simplifies to 2/27. But let's check the calculation again. Wait, the problem is: remaining pizza is 4/6, number of people is 9. So each person gets (4/6) / 9. Let's compute that: (4/6) ÷ 9 = 4/(6×9) = 4/54 = 2/27. Wait, but 4/54 is also correct before simplifying. But let's check the options. Wait, maybe I messed up. Wait, 4/6 divided by 9: 4 divided by (69)=4/54=2/27. So the correct answer is 2/27? Wait, but let's check the options. The options are 36/6 (which is 6, too big), 4/54 (which is 2/27 when simplified), 4/15 (no), 2/27. Wait, 4/54 is equal to 2/27. But let's see the calculation again. Wait, 4/6 divided by 9: (4/6) ÷ 9 = (4 ÷ 6) ÷ 9 = (2/3) ÷ 9 = 2/(3×9)=2/27. So the correct answer is 2/27. But wait, 4/54 is also 2/27. Wait, maybe the problem is that 4/6 is not simplified first. So (4/6) ÷ 9 = 4/(6×9)=4/54=2/27. So the answer is 2/27. Wait, but let's check the options. The fourth option is 2/27. So that's the answer. Wait, but let's re-express the steps.

Wait, maybe I made a mistake in the first step. Let's do it again.

Total pizza left: $\frac{4}{6}$

Number of people: 9

Each person gets: $\frac{4}{6} \div 9$

Dividing by 9 is multiplying by $\frac{1}{9}$: $\frac{4}{6} \times \frac{1}{9}$

Multiply numerators: 4×1 = 4

Multiply denominators: 6×9 = 54

So $\frac{4}{54}$, which simplifies to $\frac{2}{27}$ (dividing numerator and denominator by 2). So the answer is 2/27.

Answer:

2/27 (Option: 2/27)