Solve 40*30*1/2+35*19.366*1/2

$$40 \times 30 \times \frac { 1 } { 2 } + 35 \times 19.366 \times \frac { 1 } { 2 }$$

Evaluate

$$938.905$$

Solution Steps

Multiply 40 and 30 to get 1200.

$$1200\times \frac{1}{2}+35\times 19.366\times \frac{1}{2}$$

Multiply 1200 and \frac{1}{2} to get \frac{1200}{2}.

$$\frac{1200}{2}+35\times 19.366\times \frac{1}{2}$$

Divide 1200 by 2 to get 600.

$$600+35\times 19.366\times \frac{1}{2}$$

Multiply 35 and 19.366 to get 677.81.

$$600+677.81\times \frac{1}{2}$$

Convert decimal number 677.81 to fraction \frac{67781}{100}.

$$600+\frac{67781}{100}\times \frac{1}{2}$$

Multiply \frac{67781}{100} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$600+\frac{67781\times 1}{100\times 2}$$

Do the multiplications in the fraction \frac{67781\times 1}{100\times 2}.

$$600+\frac{67781}{200}$$

Convert 600 to fraction \frac{120000}{200}.

$$\frac{120000}{200}+\frac{67781}{200}$$

Since \frac{120000}{200} and \frac{67781}{200} have the same denominator, add them by adding their numerators.

$$\frac{120000+67781}{200}$$

Add 120000 and 67781 to get 187781.

$$\frac{187781}{200}$$

Factor

$$\frac{11 \cdot 43 \cdot 397}{2 ^ {3} \cdot 5 ^ {2}} = 938\frac{181}{200} = 938.905$$