Simplify the Expression: 3y÷(7y·14x) Step-by-Step Solution

You can cancel y because any number divided by itself equals 1. Since y appears once in the numerator and once in the denominator, $\frac{y}{y} = 1$, so they cancel out completely.

If y = 0, the original expression would be undefined because we'd have division by zero in the denominator. So we assume y ≠ 0 when simplifying.

Multiply step by step: $7 \times 14 = 98$. You can also break it down as $7 \times (10 + 4) = 70 + 28 = 98$ if that's easier.

Check if 3 and 98 have common factors. Since 98 = 2 × 49 = 2 × 7² and 3 is prime, there are no common factors. $\frac{3}{98x}$ is fully simplified.

• Correct: $\frac{3}{98x}$ - x stays in denominator
• Wrong: $\frac{3}{98}x$ - x incorrectly moves to numerator

Remember: x was originally in the denominator, so it stays there!