Solve (16/2+250)*1.04+9.8/3+140

$$( \frac { 16 } { 2 } + 250 ) \times 1.04 + \frac { 9.8 } { 3 } + 140$$

Evaluate

$$\frac{30869}{75}\approx 411.586666667$$

Solution Steps

Divide 16 by 2 to get 8.

$$\left(8+250\right)\times 1.04+\frac{9.8}{3}+140$$

Add 8 and 250 to get 258.

$$258\times 1.04+\frac{9.8}{3}+140$$

Multiply 258 and 1.04 to get 268.32.

$$268.32+\frac{9.8}{3}+140$$

Expand \frac{9.8}{3} by multiplying both numerator and the denominator by 10.

$$268.32+\frac{98}{30}+140$$

Reduce the fraction \frac{98}{30} to lowest terms by extracting and canceling out 2.

$$268.32+\frac{49}{15}+140$$

Convert decimal number 268.32 to fraction \frac{26832}{100}. Reduce the fraction \frac{26832}{100} to lowest terms by extracting and canceling out 4.

$$\frac{6708}{25}+\frac{49}{15}+140$$

Least common multiple of 25 and 15 is 75. Convert \frac{6708}{25} and \frac{49}{15} to fractions with denominator 75.

$$\frac{20124}{75}+\frac{245}{75}+140$$

Since \frac{20124}{75} and \frac{245}{75} have the same denominator, add them by adding their numerators.

$$\frac{20124+245}{75}+140$$

Add 20124 and 245 to get 20369.

$$\frac{20369}{75}+140$$

Convert 140 to fraction \frac{10500}{75}.

$$\frac{20369}{75}+\frac{10500}{75}$$

Since \frac{20369}{75} and \frac{10500}{75} have the same denominator, add them by adding their numerators.

$$\frac{20369+10500}{75}$$

Add 20369 and 10500 to get 30869.

$$\frac{30869}{75}$$

Factor

$$\frac{30869}{3 \cdot 5 ^ {2}} = 411\frac{44}{75} = 411.58666666666664$$