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Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{8m^2 - 3m}{6m}$

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Multiply powers: variable bases

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Q. Simplify. Write your answer using whole numbers and variables.

\newline

\frac{8m^2 - 3m}{6m}

Simplify Fraction: Simplify the fraction $\frac{3m}{6m}$ . $\newline$ To simplify a fraction, divide the numerator and the denominator by their greatest common factor. In this case, both the numerator and the denominator have a common factor of $3m$ . $\newline$ $\frac{3m}{6m} = \left(\frac{3}{6}\right)\left(\frac{m}{m}\right) = \frac{1}{2} \times 1 = \frac{1}{2}$
Replace Fraction: Rewrite the original expression with the simplified fraction. $\newline$ Replace the fraction $\frac{3m}{6m}$ in the original expression with its simplified form $\frac{1}{2}$ . $\newline$ $8m^2 - \frac{3m}{6m} = 8m^2 - \frac{1}{2}$
Combine Like Terms: Since there are no like terms to combine, the expression is now fully simplified. $\newline$ The term $8m^2$ cannot be combined with the constant term $-\frac{1}{2}$ , so the expression is already in its simplest form. $\newline$ Final expression: $8m^2 - \frac{1}{2}$

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