Solve 1.2^2div6+0.4*52.3

$$1.2 ^ { 2 } \div 6 + 0.4 \times 52.3$$

Evaluate

$$21.16$$

Solution Steps

Calculate 1.2 to the power of 2 and get 1.44.

$$\frac{1.44}{6}+0.4\times 52.3$$

Expand \frac{1.44}{6} by multiplying both numerator and the denominator by 100.

$$\frac{144}{600}+0.4\times 52.3$$

Reduce the fraction \frac{144}{600} to lowest terms by extracting and canceling out 24.

$$\frac{6}{25}+0.4\times 52.3$$

Multiply 0.4 and 52.3 to get 20.92.

$$\frac{6}{25}+20.92$$

Convert decimal number 20.92 to fraction \frac{2092}{100}. Reduce the fraction \frac{2092}{100} to lowest terms by extracting and canceling out 4.

$$\frac{6}{25}+\frac{523}{25}$$

Since \frac{6}{25} and \frac{523}{25} have the same denominator, add them by adding their numerators.

$$\frac{6+523}{25}$$

Add 6 and 523 to get 529.

$$\frac{529}{25}$$

Factor

$$\frac{23 ^ {2}}{5 ^ {2}} = 21\frac{4}{25} = 21.16$$