Question

there are many ways you could solve this equation. one way you can start is by rewriting the expression on the left to make it easier to work with. how can you rewrite the fraction on the left to make it easier to work with, without changing its value? \\(\frac{4(3n + 36)}{15} = -3n + 13\\) options: multiply the numerator by 4; divide the numerator and the denominator by 4; divide the numerator by 13

Explanation:

Step1: Simplify the fraction

To keep the value unchanged, we must divide both the numerator and denominator by the same non-zero number. For $\frac{4(8n + 36)}{16}$, we divide numerator and denominator by 4:
$\frac{\frac{4(8n + 36)}{4}}{\frac{16}{4}} = \frac{8n + 36}{4}$

Step2: Verify valid operation

Multiplying only the numerator or dividing the numerator by a different number than the denominator will change the value of the expression. Only dividing both by the same number preserves equality.

Answer:

Divide the numerator and the denominator by 4