Solve =(200*36)+(200*36+37/2*12*11/100)

$$= ( 200 \times 36 ) + ( 200 \times \frac { 36 + 37 } { 2 \times 12 } \times \frac { 11 } { 100 } )$$

Evaluate

$$\frac{87203}{12}\approx 7266.916666667$$

Solution Steps

Multiply 200 and 36 to get 7200.

$$7200+200\times \frac{36+37}{2\times 12}\times \frac{11}{100}$$

Add 36 and 37 to get 73.

$$7200+200\times \frac{73}{2\times 12}\times \frac{11}{100}$$

Multiply 2 and 12 to get 24.

$$7200+200\times \frac{73}{24}\times \frac{11}{100}$$

Express 200\times \frac{73}{24} as a single fraction.

$$7200+\frac{200\times 73}{24}\times \frac{11}{100}$$

Multiply 200 and 73 to get 14600.

$$7200+\frac{14600}{24}\times \frac{11}{100}$$

Reduce the fraction \frac{14600}{24} to lowest terms by extracting and canceling out 8.

$$7200+\frac{1825}{3}\times \frac{11}{100}$$

Multiply \frac{1825}{3} times \frac{11}{100} by multiplying numerator times numerator and denominator times denominator.

$$7200+\frac{1825\times 11}{3\times 100}$$

Do the multiplications in the fraction \frac{1825\times 11}{3\times 100}.

$$7200+\frac{20075}{300}$$

Reduce the fraction \frac{20075}{300} to lowest terms by extracting and canceling out 25.

$$7200+\frac{803}{12}$$

Convert 7200 to fraction \frac{86400}{12}.

$$\frac{86400}{12}+\frac{803}{12}$$

Since \frac{86400}{12} and \frac{803}{12} have the same denominator, add them by adding their numerators.

$$\frac{86400+803}{12}$$

Add 86400 and 803 to get 87203.

$$\frac{87203}{12}$$

Factor

$$\frac{29 \cdot 31 \cdot 97}{2 ^ {2} \cdot 3} = 7266\frac{11}{12} = 7266.916666666667$$