How to solve 3/4 * 9/4 / (5/2)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 3/4 * 9/4 / (5/2) | Equatix

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$$\frac{3}{4}\times\frac{9}{4}\div\frac{5}{2}$$

$\frac{27}{40}=0.675$

Multiply $\frac{3}{4}$ times $\frac{9}{4}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 9}{4\times 4}}{\frac{5}{2}}$$

Do the multiplications in the fraction $\frac{3\times 9}{4\times 4}$.

$$\frac{\frac{27}{16}}{\frac{5}{2}}$$

Divide $\frac{27}{16}$ by $\frac{5}{2}$ by multiplying $\frac{27}{16}$ by the reciprocal of $\frac{5}{2}$.

$$\frac{27}{16}\times \frac{2}{5}$$

Multiply $\frac{27}{16}$ times $\frac{2}{5}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 2}{16\times 5}$$

Do the multiplications in the fraction $\frac{27\times 2}{16\times 5}$.

$$\frac{54}{80}$$

Reduce the fraction $\frac{54}{80}$ to lowest terms by extracting and canceling out $2$.

$$\frac{27}{40}$$

$\frac{3 ^ {3}}{2 ^ {3} \cdot 5} = 0.675$