Solve 8.4*0.1+3*(-4*0.25+3^2)+4.1div2

$$8.4 \cdot 0.1 + 3 \cdot ( - 4 \cdot 0.25 + 3 ^ { 2 } ) + 4.1 \div 2$$

Evaluate

$$26.89$$

Solution Steps

Multiply 8.4 and 0.1 to get 0.84.

$$0.84+3\left(-4\times 0.25+3^{2}\right)+\frac{4.1}{2}$$

Multiply -4 and 0.25 to get -1.

$$0.84+3\left(-1+3^{2}\right)+\frac{4.1}{2}$$

Calculate 3 to the power of 2 and get 9.

$$0.84+3\left(-1+9\right)+\frac{4.1}{2}$$

Add -1 and 9 to get 8.

$$0.84+3\times 8+\frac{4.1}{2}$$

Multiply 3 and 8 to get 24.

$$0.84+24+\frac{4.1}{2}$$

Add 0.84 and 24 to get 24.84.

$$24.84+\frac{4.1}{2}$$

Expand \frac{4.1}{2} by multiplying both numerator and the denominator by 10.

$$24.84+\frac{41}{20}$$

Convert decimal number 24.84 to fraction \frac{2484}{100}. Reduce the fraction \frac{2484}{100} to lowest terms by extracting and canceling out 4.

$$\frac{621}{25}+\frac{41}{20}$$

Least common multiple of 25 and 20 is 100. Convert \frac{621}{25} and \frac{41}{20} to fractions with denominator 100.

$$\frac{2484}{100}+\frac{205}{100}$$

Since \frac{2484}{100} and \frac{205}{100} have the same denominator, add them by adding their numerators.

$$\frac{2484+205}{100}$$

Add 2484 and 205 to get 2689.

$$\frac{2689}{100}$$

Factor

$$\frac{2689}{2 ^ {2} \cdot 5 ^ {2}} = 26\frac{89}{100} = 26.89$$