Solve 3.14*9*12+3.14*19div2)^2=

$$3.14 \times 9 \times 12 + 3.14 \times 19 \div 2 ) ^ { 2 } =$$

Evaluate

$$368.95$$

Solution Steps

Multiply 3.14 and 9 to get 28.26.

$$28.26\times 12+\frac{3.14\times 19}{2}$$

Multiply 28.26 and 12 to get 339.12.

$$339.12+\frac{3.14\times 19}{2}$$

Multiply 3.14 and 19 to get 59.66.

$$339.12+\frac{59.66}{2}$$

Expand \frac{59.66}{2} by multiplying both numerator and the denominator by 100.

$$339.12+\frac{5966}{200}$$

Reduce the fraction \frac{5966}{200} to lowest terms by extracting and canceling out 2.

$$339.12+\frac{2983}{100}$$

Convert decimal number 339.12 to fraction \frac{33912}{100}. Reduce the fraction \frac{33912}{100} to lowest terms by extracting and canceling out 4.

$$\frac{8478}{25}+\frac{2983}{100}$$

Least common multiple of 25 and 100 is 100. Convert \frac{8478}{25} and \frac{2983}{100} to fractions with denominator 100.

$$\frac{33912}{100}+\frac{2983}{100}$$

Since \frac{33912}{100} and \frac{2983}{100} have the same denominator, add them by adding their numerators.

$$\frac{33912+2983}{100}$$

Add 33912 and 2983 to get 36895.

$$\frac{36895}{100}$$

Reduce the fraction \frac{36895}{100} to lowest terms by extracting and canceling out 5.

$$\frac{7379}{20}$$

Factor

$$\frac{47 \cdot 157}{5 \cdot 2 ^ {2}} = 368\frac{19}{20} = 368.95$$