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Sergeeva-Olga [200]
4 years ago
14

Mia has 1/2 of a pizza. She divides it equally among 4 people. Which model shows the fraction of a whole pizza each person gets

?
Mathematics
1 answer:
Llana [10]4 years ago
3 0

Each person gets \frac{1}{8} of whole pizza

<em><u>Solution:</u></em>

Given that Mia has \frac{1}{2} of a pizza

She divides it equally among 4 people

<em><u>To find: Fraction of a whole pizza each person gets</u></em>

From statement,

\frac{1}{2} of pizza is divided equally among 4 people

Therefore, to find the fraction of whole pizza each person gets, we can divide the \frac{1}{2} by 4 people

\text{fraction each person gets } = \frac{\frac{1}{2}}{4}\\\\\text{fraction each person gets } = \frac{1}{2} \times \frac{1}{4}\\\\\text{fraction each person gets } = \frac{1}{8}

Thus each person gets \frac{1}{8} of whole pizza

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\text{We know:}\ \tan x=\dfrac{\sin x}{\cos x}\\\\\text{therefore:}\ \tan x=\dfrac{-\frac{1}{2}}{-\frac{\sqrt3}{2}}=\dfrac{1}{2}\cdot\dfrac{2}{\sqrt3}=\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}

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