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QUESTION IMAGE

simplify.\\frac{42bc}{49cd}

Question

simplify.\frac{42bc}{49cd}

Explanation:

Step1: Factor numerator and denominator

$42bc = 7 \times 6 \times b \times c$, $49cd = 7 \times 7 \times c \times d$

Step2: Cancel common factors

Cancel $7$ and $c$ from numerator and denominator:
$\frac{7 \times 6 \times b \times c}{7 \times 7 \times c \times d} = \frac{6b}{7d}$

Answer:

$\frac{6b}{7d}$