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Translate the following phrase or sentence into a math expression or equation (whichever is appropriate). Use c to represent the unknown number. A number decreased by three eighths is two ninths of that number.

Answer :

The number is c and decrease by three eights. So expression is,

[tex]c-\frac{3}{8}[/tex]

The obtained expression is equal to two ninths of the number c, which is 2/9c. So equation is,

[tex]\begin{gathered} c-\frac{3}{8}=\frac{2}{9}c \\ c-\frac{2}{9}c=\frac{3}{8} \\ \frac{7}{9}c=\frac{3}{8} \end{gathered}[/tex]

So equation is c - 3/8 = 2/9 or 7/9c = 3/8.

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