Question

Explain the process to solve the equation. Use proper vocabulary in your explanation.

One-fourth x = negative five-eighths

Answer 1

We have \[\frac{ 1 }{ 4 } x = -\frac{ 5 }{ 8 }\]
We need to simplify this by isolating the x, so we have to divide each side by 1/4

Answer 2

Remembering that dividing a fourth is like multiplying by 4
So we have
\[\frac{ 1 }{ 4 }x * \frac{ 4 }{ 1 } = -\frac{ 5 }{ 8 } * \frac{ 4 }{ 1 }\]

Answer 3

So, we then can simplify it to
\[x = - \frac{ 5 }{ 2 }\]