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{2(15g + 5)}{10}\\) = \\(-5g + 3\\)
multiply the numerator by 2
divide the numerator and the denominator by 2
divide the numerator by 3

Explanation:

Step1: Recall Fraction Properties

The fraction is $\frac{2(15g + 5)}{10}$. To simplify without changing value, use the property of fractions: dividing numerator and denominator by the same non - zero number (here, 2) keeps the fraction equal.

Step2: Analyze Each Option

• Option 1: Multiplying numerator by 2 would change the value (new numerator $4(15g + 5)$, denominator 10, fraction value doubles).
• Option 2: Dividing numerator and denominator by 2: $\frac{2(15g + 5)\div2}{10\div2}=\frac{15g + 5}{5}$, which simplifies the fraction.
• Option 3: Dividing numerator by 3: Numerator becomes $\frac{2(15g + 5)}{3}$, denominator 10, fraction value changes (not equivalent).

Answer:

Divide the numerator and the denominator by 2