Solve 2g^3/3h^2*6h/gdiv4g^2/h

$$\frac { 2 g ^ { 3 } } { 3 h ^ { 2 } } \times \frac { 6 h } { g } \div \frac { 4 g ^ { 2 } } { h }$$

Evaluate

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Solution Steps

Multiply \frac{2g^{3}}{3h^{2}} times \frac{6h}{g} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{2g^{3}\times 6h}{3h^{2}g}}{\frac{4g^{2}}{h}}$$

Cancel out 3gh in both numerator and denominator.

$$\frac{\frac{2\times 2g^{2}}{h}}{\frac{4g^{2}}{h}}$$

Divide \frac{2\times 2g^{2}}{h} by \frac{4g^{2}}{h} by multiplying \frac{2\times 2g^{2}}{h} by the reciprocal of \frac{4g^{2}}{h}.

$$\frac{2\times 2g^{2}h}{h\times 4g^{2}}$$

Cancel out 2\times 2hg^{2} in both numerator and denominator.

$$1$$

Factor

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