Fractions and invitations

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Diane sent out 25 invitations to her birthday party. If 1/6 of the invitations were for her family, about how many invitations were for her family? Please show your work and explain.

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Your data says that $25 \cdot \frac 16 = 4\frac 16$ were for her family. What it means to get $\frac 16$ invitation, I don't know.

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Translate to math.

The key to answering "word problems" of this sort is being able to translate the given information into mathematical operations involving the data provided. Key words here are "of" and "about".

"About one-sixth of the (25) invitations sent were for her family."

$\iff \text{About}\;\dfrac 16 \underbrace{\times}_{\text{OF}} 25\,$ of the invitations were for her family.

$\iff \dfrac 16\times 25\, =\, 4.1\overline{66} \underbrace{\approx}_{\text{about}} 4$ invitations were for her family.