Solve 1/33.8^2

$$\frac{ 1 }{ 3 } { 3.8 }^{ 2 }$$

Evaluate

$$\frac{361}{75}\approx 4.813333333$$

Solution Steps

Calculate 3.8 to the power of 2 and get 14.44.

$$\frac{1}{3}\times 14.44$$

Convert decimal number 14.44 to fraction \frac{1444}{100}. Reduce the fraction \frac{1444}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}\times \frac{361}{25}$$

Multiply \frac{1}{3} times \frac{361}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 361}{3\times 25}$$

Do the multiplications in the fraction \frac{1\times 361}{3\times 25}.

$$\frac{361}{75}$$

Factor

$$\frac{19 ^ {2}}{3 \cdot 5 ^ {2}} = 4\frac{61}{75} = 4.8133333333333335$$