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Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{6p - 42}{6p}$

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Evaluate expressions using exponent rules

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

\newline

\frac{6p - 42}{6p}

Identify Terms and Factors: Identify the terms in the expression and look for common factors. $\newline$ We have $6p$ in the numerator and $6p$ in the denominator. We can simplify this by dividing both the numerator and the denominator by the common factor $6p$ .
Divide by Common Factor: Divide the numerator and the denominator by $6p$ . $\newline$ $(6p - 42) / 6p = (6p/6p) - (42/6p)$ $\newline$ $= 1 - (42/6p)$
Simplify Numerator and Denominator: Simplify the second term in the expression. $\newline$ $\frac{42}{6p}$ can be simplified by dividing $42$ by $6$ , which gives us $7$ . $\newline$ So, $1 - \left(\frac{42}{6p}\right) = 1 - \left(\frac{7}{p}\right)$
Simplify Second Term: Write the final simplified expression. $\newline$ The expression is now simplified to $1 - \frac{7}{p}$ .

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