Solve frac{sqrt[3]{3.375}}{1.5^2+1.8}

$$\frac{ \sqrt[3]{ 3.375 } }{ { 1.5 }^{ 2 } +1.8 }$$

Evaluate

$$\frac{10}{27}\approx 0.37037037$$

Solution Steps

Calculate \sqrt[3]{3.375} and get \frac{3}{2}.

$$\frac{\frac{3}{2}}{1.5^{2}+1.8}$$

Calculate 1.5 to the power of 2 and get 2.25.

$$\frac{\frac{3}{2}}{2.25+1.8}$$

Add 2.25 and 1.8 to get 4.05.

$$\frac{\frac{3}{2}}{4.05}$$

Express \frac{\frac{3}{2}}{4.05} as a single fraction.

$$\frac{3}{2\times 4.05}$$

Multiply 2 and 4.05 to get 8.1.

$$\frac{3}{8.1}$$

Expand \frac{3}{8.1} by multiplying both numerator and the denominator by 10.

$$\frac{30}{81}$$

Reduce the fraction \frac{30}{81} to lowest terms by extracting and canceling out 3.

$$\frac{10}{27}$$

Factor

$$\frac{2 \cdot 5}{3 ^ {3}} = 0.37037037037037035$$