Question

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 1

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

`c-(3)/(8)`

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

`\begin{gathered} c-(3)/(8)=(2)/(9)c \\ c-(2)/(9)c=(3)/(8) \\ (7)/(9)c=(3)/(8) \end{gathered}`

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