Question

Find the product. simplify your answer

Answer 1

• (6x/-7)(4/-9x)
• 24x/63x
• 24/63

cancel by 3

• 8/21

Answer 2

`\sf (8)/(21)`

Explanation:

Given expression:

`\sf (6x)/(-7) \cdot (4)/(-9x)`

When multiplying fractions, simply multiply the numerators and multiply the denominators:

`\implies \sf (6x)/(-7) \cdot (4)/(-9x) = (6x \cdot 4)/(-7 \cdot -9x) =(24x)/(63x)`

Cancel the common factor x:

`\implies \sf (24 \diagup\!\!\!\!x)/(63 \diagup\!\!\!\!x)=(24)/(63)`

Rewrite 24 as 3 · 8 and rewrite 63 as 3 · 21:

`\implies \sf (24)/(63)=(3 \cdot 8)/(3 \cdot 21)`

Cancel the common factor 3:

`\implies \sf (\diagup\!\!\!\!\!3 \cdot 8)/(\diagup\!\!\!\!\!3 \cdot 21)=(8)/(21)`