Solve 28div5-2.5125+365+295+375div3.5+2.7*2.8*8=

$$28 \div 5 - 2.5125 + 365 + 295 + 375 \div 3.5 + 2.7 \times 2.8 \times 8 =$$

Evaluate

$$\frac{2325989}{2800}\approx 830.710357143$$

Solution Steps

Convert decimal number 2.5125 to fraction \frac{25125}{10000}. Reduce the fraction \frac{25125}{10000} to lowest terms by extracting and canceling out 125.

$$\frac{28}{5}-\frac{201}{80}+365+295+\frac{375}{3.5}+2.7\times 2.8\times 8$$

Least common multiple of 5 and 80 is 80. Convert \frac{28}{5} and \frac{201}{80} to fractions with denominator 80.

$$\frac{448}{80}-\frac{201}{80}+365+295+\frac{375}{3.5}+2.7\times 2.8\times 8$$

Since \frac{448}{80} and \frac{201}{80} have the same denominator, subtract them by subtracting their numerators.

$$\frac{448-201}{80}+365+295+\frac{375}{3.5}+2.7\times 2.8\times 8$$

Subtract 201 from 448 to get 247.

$$\frac{247}{80}+365+295+\frac{375}{3.5}+2.7\times 2.8\times 8$$

Convert 365 to fraction \frac{29200}{80}.

$$\frac{247}{80}+\frac{29200}{80}+295+\frac{375}{3.5}+2.7\times 2.8\times 8$$

Since \frac{247}{80} and \frac{29200}{80} have the same denominator, add them by adding their numerators.

$$\frac{247+29200}{80}+295+\frac{375}{3.5}+2.7\times 2.8\times 8$$

Add 247 and 29200 to get 29447.

$$\frac{29447}{80}+295+\frac{375}{3.5}+2.7\times 2.8\times 8$$

Convert 295 to fraction \frac{23600}{80}.

$$\frac{29447}{80}+\frac{23600}{80}+\frac{375}{3.5}+2.7\times 2.8\times 8$$

Since \frac{29447}{80} and \frac{23600}{80} have the same denominator, add them by adding their numerators.

$$\frac{29447+23600}{80}+\frac{375}{3.5}+2.7\times 2.8\times 8$$

Add 29447 and 23600 to get 53047.

$$\frac{53047}{80}+\frac{375}{3.5}+2.7\times 2.8\times 8$$

Expand \frac{375}{3.5} by multiplying both numerator and the denominator by 10.

$$\frac{53047}{80}+\frac{3750}{35}+2.7\times 2.8\times 8$$

Reduce the fraction \frac{3750}{35} to lowest terms by extracting and canceling out 5.

$$\frac{53047}{80}+\frac{750}{7}+2.7\times 2.8\times 8$$

Least common multiple of 80 and 7 is 560. Convert \frac{53047}{80} and \frac{750}{7} to fractions with denominator 560.

$$\frac{371329}{560}+\frac{60000}{560}+2.7\times 2.8\times 8$$

Since \frac{371329}{560} and \frac{60000}{560} have the same denominator, add them by adding their numerators.

$$\frac{371329+60000}{560}+2.7\times 2.8\times 8$$

Add 371329 and 60000 to get 431329.

$$\frac{431329}{560}+2.7\times 2.8\times 8$$

Multiply 2.7 and 2.8 to get 7.56.

$$\frac{431329}{560}+7.56\times 8$$

Multiply 7.56 and 8 to get 60.48.

$$\frac{431329}{560}+60.48$$

Convert decimal number 60.48 to fraction \frac{6048}{100}. Reduce the fraction \frac{6048}{100} to lowest terms by extracting and canceling out 4.

$$\frac{431329}{560}+\frac{1512}{25}$$

Least common multiple of 560 and 25 is 2800. Convert \frac{431329}{560} and \frac{1512}{25} to fractions with denominator 2800.

$$\frac{2156645}{2800}+\frac{169344}{2800}$$

Since \frac{2156645}{2800} and \frac{169344}{2800} have the same denominator, add them by adding their numerators.

$$\frac{2156645+169344}{2800}$$

Add 2156645 and 169344 to get 2325989.

$$\frac{2325989}{2800}$$

Factor

$$\frac{919 \cdot 2531}{7 \cdot 2 ^ {4} \cdot 5 ^ {2}} = 830\frac{1989}{2800} = 830.7103571428571$$