Simplify? $\frac{\frac{16 x^{2}}{8 x}}{\frac{4 x^{2}}{16 x}}$ $((16x^2)/(8x))/((4x^2)/(16x))$

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Simplify? $\frac{\frac{16 x^{2}}{8 x}}{\frac{4 x^{2}}{16 x}}$ $((16x^2)/(8x))/((4x^2)/(16x))$

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Answer 1 · 2017-03-27T23:27:00

$8$ $8$

Explanation:

I'm not sure. but I think your question is about a complex fraction
$\frac{\frac{16 x^{2}}{8 x}}{\frac{4 x^{2}}{16 x}} = \frac{16 x^{2}}{8 x} \times \frac{16 x}{4 x^{2}}$ $((16x^2)/(8x))/((4x^2)/(16x)) =(16x^2)/(8x)xx(16x)/(4x^2)$ .

From here, we should expand all the components so that $\frac{16 x^{2}}{8 x} \times \frac{16 x}{4 x^{2}} = \frac{4 \cdot 2 \cdot 2 \cdot x \cdot x}{2 \cdot 4 \cdot x} \cdot \frac{4 \cdot 4 \cdot x}{4 \cdot x \cdot x}$ $(16x^2)/(8x)xx(16x)/(4x^2)=(4*2*2*x*x)/(2*4*x)*(4*4*x)/(4*x*x)$

Now we just need to simplify
$(cancel(4)*cancel(2)*2*cancel(x)*x)/(cancel(2)*cancel(4)*cancel(x))$ $(cancel(4)*4*cancel(x))/(cancel(4)*cancel(x)*x)$

That leaves us with $(2*x)*4/x$ , which we can simplify to $(8x)/x$ or just $8$ .

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Simplify? $\frac{\frac{16 x^{2}}{8 x}}{\frac{4 x^{2}}{16 x}}$ $((16x^2)/(8x))/((4x^2)/(16x))$

1 Answer

Explanation:

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Simplify? ((16x^2)/(8x))/((4x^2)/(16x))16x28x4x216x((16x^2)/(8x))/((4x^2)/(16x))

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Simplify? $\frac{\frac{16 x^{2}}{8 x}}{\frac{4 x^{2}}{16 x}}$ $((16x^2)/(8x))/((4x^2)/(16x))$