Solve (16k - 88)/3 / ((8k - 44)/(3k)) = | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{16k-88}{3}\div\frac{8k-44}{3k}=$$

Evaluate

$2k$

Short Solution Steps

Divide $\frac{16k-88}{3}$ by $\frac{8k-44}{3k}$ by multiplying $\frac{16k-88}{3}$ by the reciprocal of $\frac{8k-44}{3k}$.

$$\frac{\left(16k-88\right)\times 3k}{3\left(8k-44\right)}$$

Cancel out $3$ in both numerator and denominator.

$$\frac{k\left(16k-88\right)}{8k-44}$$

Factor the expressions that are not already factored.

$$\frac{8k\left(2k-11\right)}{4\left(2k-11\right)}$$

Cancel out $4\left(2k-11\right)$ in both numerator and denominator.

$$2k$$

Expand

$2k$

Short Solution Steps

Divide $\frac{16k-88}{3}$ by $\frac{8k-44}{3k}$ by multiplying $\frac{16k-88}{3}$ by the reciprocal of $\frac{8k-44}{3k}$.

$$\frac{\left(16k-88\right)\times 3k}{3\left(8k-44\right)}$$

Cancel out $3$ in both numerator and denominator.

$$\frac{k\left(16k-88\right)}{8k-44}$$

Factor the expressions that are not already factored.

$$\frac{8k\left(2k-11\right)}{4\left(2k-11\right)}$$

Cancel out $4\left(2k-11\right)$ in both numerator and denominator.

$$2k$$