Solve 0.3^2:112/260=

$$0.3 ^ { 2 } : \frac { 112 } { 260 } =$$

Evaluate

$$\frac{117}{560}\approx 0.208928571$$

Solution Steps

Calculate 0.3 to the power of 2 and get 0.09.

$$\frac{0.09}{\frac{112}{260}}$$

Reduce the fraction \frac{112}{260} to lowest terms by extracting and canceling out 4.

$$\frac{0.09}{\frac{28}{65}}$$

Divide 0.09 by \frac{28}{65} by multiplying 0.09 by the reciprocal of \frac{28}{65}.

$$0.09\times \frac{65}{28}$$

Convert decimal number 0.09 to fraction \frac{9}{100}.

$$\frac{9}{100}\times \frac{65}{28}$$

Multiply \frac{9}{100} times \frac{65}{28} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 65}{100\times 28}$$

Do the multiplications in the fraction \frac{9\times 65}{100\times 28}.

$$\frac{585}{2800}$$

Reduce the fraction \frac{585}{2800} to lowest terms by extracting and canceling out 5.

$$\frac{117}{560}$$

Factor

$$\frac{13 \cdot 3 ^ {2}}{5 \cdot 7 \cdot 2 ^ {4}} = 0.20892857142857144$$