Solve (53+(45+73.23)div2+54+50)div4*0.85+13.575=

$$(53+(45+73.23) \div 2+54+50) \div 4 \times 0.85+13.575=$$

Evaluate

$$59.4994375$$

Solution Steps

Add 45 and 73.23 to get 118.23.

$$\frac{53+\frac{118.23}{2}+54+50}{4}\times 0.85+13.575$$

Expand \frac{118.23}{2} by multiplying both numerator and the denominator by 100.

$$\frac{53+\frac{11823}{200}+54+50}{4}\times 0.85+13.575$$

Convert 53 to fraction \frac{10600}{200}.

$$\frac{\frac{10600}{200}+\frac{11823}{200}+54+50}{4}\times 0.85+13.575$$

Since \frac{10600}{200} and \frac{11823}{200} have the same denominator, add them by adding their numerators.

$$\frac{\frac{10600+11823}{200}+54+50}{4}\times 0.85+13.575$$

Add 10600 and 11823 to get 22423.

$$\frac{\frac{22423}{200}+54+50}{4}\times 0.85+13.575$$

Convert 54 to fraction \frac{10800}{200}.

$$\frac{\frac{22423}{200}+\frac{10800}{200}+50}{4}\times 0.85+13.575$$

Since \frac{22423}{200} and \frac{10800}{200} have the same denominator, add them by adding their numerators.

$$\frac{\frac{22423+10800}{200}+50}{4}\times 0.85+13.575$$

Add 22423 and 10800 to get 33223.

$$\frac{\frac{33223}{200}+50}{4}\times 0.85+13.575$$

Convert 50 to fraction \frac{10000}{200}.

$$\frac{\frac{33223}{200}+\frac{10000}{200}}{4}\times 0.85+13.575$$

Since \frac{33223}{200} and \frac{10000}{200} have the same denominator, add them by adding their numerators.

$$\frac{\frac{33223+10000}{200}}{4}\times 0.85+13.575$$

Add 33223 and 10000 to get 43223.

$$\frac{\frac{43223}{200}}{4}\times 0.85+13.575$$

Express \frac{\frac{43223}{200}}{4} as a single fraction.

$$\frac{43223}{200\times 4}\times 0.85+13.575$$

Multiply 200 and 4 to get 800.

$$\frac{43223}{800}\times 0.85+13.575$$

Convert decimal number 0.85 to fraction \frac{85}{100}. Reduce the fraction \frac{85}{100} to lowest terms by extracting and canceling out 5.

$$\frac{43223}{800}\times \frac{17}{20}+13.575$$

Multiply \frac{43223}{800} times \frac{17}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{43223\times 17}{800\times 20}+13.575$$

Do the multiplications in the fraction \frac{43223\times 17}{800\times 20}.

$$\frac{734791}{16000}+13.575$$

Convert decimal number 13.575 to fraction \frac{13575}{1000}. Reduce the fraction \frac{13575}{1000} to lowest terms by extracting and canceling out 25.

$$\frac{734791}{16000}+\frac{543}{40}$$

Least common multiple of 16000 and 40 is 16000. Convert \frac{734791}{16000} and \frac{543}{40} to fractions with denominator 16000.

$$\frac{734791}{16000}+\frac{217200}{16000}$$

Since \frac{734791}{16000} and \frac{217200}{16000} have the same denominator, add them by adding their numerators.

$$\frac{734791+217200}{16000}$$

Add 734791 and 217200 to get 951991.

$$\frac{951991}{16000}$$

Factor

$$\frac{269 \cdot 3539}{2 ^ {7} \cdot 5 ^ {3}} = 59\frac{7991}{16000} = 59.4994375$$