Solve 59.8*2-8+20-29*52-5855div53+65+54+55-88-88*48-58-532+559*55+545*55+25+55+88+89*5

$$59.8 \times 2-8+20-29 \times 52-5855 \div 53+65+54+55-88-88 \times 48-58-532+559 \times 55+545 \times 55+25+55+88+89 \times 5$$

Evaluate

$$\frac{14606304}{265}\approx 55118.128301887$$

Solution Steps

Multiply 559 and 55 to get 30745. Multiply 545 and 55 to get 29975. Multiply 89 and 5 to get 445.

$$59.8\times 2-8+20-29\times 52-\frac{5855}{53}+65+54+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Multiply 59.8 and 2 to get 119.6.

$$119.6-8+20-29\times 52-\frac{5855}{53}+65+54+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Subtract 8 from 119.6 to get 111.6.

$$111.6+20-29\times 52-\frac{5855}{53}+65+54+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Add 111.6 and 20 to get 131.6.

$$131.6-29\times 52-\frac{5855}{53}+65+54+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Multiply 29 and 52 to get 1508.

$$131.6-1508-\frac{5855}{53}+65+54+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Subtract 1508 from 131.6 to get -1376.4.

$$-1376.4-\frac{5855}{53}+65+54+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Convert decimal number -1376.4 to fraction -\frac{13764}{10}. Reduce the fraction -\frac{13764}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{6882}{5}-\frac{5855}{53}+65+54+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Least common multiple of 5 and 53 is 265. Convert -\frac{6882}{5} and \frac{5855}{53} to fractions with denominator 265.

$$-\frac{364746}{265}-\frac{29275}{265}+65+54+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Since -\frac{364746}{265} and \frac{29275}{265} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-364746-29275}{265}+65+54+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Subtract 29275 from -364746 to get -394021.

$$-\frac{394021}{265}+65+54+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Convert 65 to fraction \frac{17225}{265}.

$$-\frac{394021}{265}+\frac{17225}{265}+54+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Since -\frac{394021}{265} and \frac{17225}{265} have the same denominator, add them by adding their numerators.

$$\frac{-394021+17225}{265}+54+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Add -394021 and 17225 to get -376796.

$$-\frac{376796}{265}+54+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Convert 54 to fraction \frac{14310}{265}.

$$-\frac{376796}{265}+\frac{14310}{265}+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Since -\frac{376796}{265} and \frac{14310}{265} have the same denominator, add them by adding their numerators.

$$\frac{-376796+14310}{265}+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Add -376796 and 14310 to get -362486.

$$-\frac{362486}{265}+55-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Convert 55 to fraction \frac{14575}{265}.

$$-\frac{362486}{265}+\frac{14575}{265}-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Since -\frac{362486}{265} and \frac{14575}{265} have the same denominator, add them by adding their numerators.

$$\frac{-362486+14575}{265}-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Add -362486 and 14575 to get -347911.

$$-\frac{347911}{265}-88-88\times 48-58-532+30745+29975+25+55+88+445$$

Convert 88 to fraction \frac{23320}{265}.

$$-\frac{347911}{265}-\frac{23320}{265}-88\times 48-58-532+30745+29975+25+55+88+445$$

Since -\frac{347911}{265} and \frac{23320}{265} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-347911-23320}{265}-88\times 48-58-532+30745+29975+25+55+88+445$$

Subtract 23320 from -347911 to get -371231.

$$-\frac{371231}{265}-88\times 48-58-532+30745+29975+25+55+88+445$$

Multiply 88 and 48 to get 4224.

$$-\frac{371231}{265}-4224-58-532+30745+29975+25+55+88+445$$

Convert 4224 to fraction \frac{1119360}{265}.

$$-\frac{371231}{265}-\frac{1119360}{265}-58-532+30745+29975+25+55+88+445$$

Since -\frac{371231}{265} and \frac{1119360}{265} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-371231-1119360}{265}-58-532+30745+29975+25+55+88+445$$

Subtract 1119360 from -371231 to get -1490591.

$$-\frac{1490591}{265}-58-532+30745+29975+25+55+88+445$$

Convert 58 to fraction \frac{15370}{265}.

$$-\frac{1490591}{265}-\frac{15370}{265}-532+30745+29975+25+55+88+445$$

Since -\frac{1490591}{265} and \frac{15370}{265} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1490591-15370}{265}-532+30745+29975+25+55+88+445$$

Subtract 15370 from -1490591 to get -1505961.

$$-\frac{1505961}{265}-532+30745+29975+25+55+88+445$$

Convert 532 to fraction \frac{140980}{265}.

$$-\frac{1505961}{265}-\frac{140980}{265}+30745+29975+25+55+88+445$$

Since -\frac{1505961}{265} and \frac{140980}{265} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1505961-140980}{265}+30745+29975+25+55+88+445$$

Subtract 140980 from -1505961 to get -1646941.

$$-\frac{1646941}{265}+30745+29975+25+55+88+445$$

Convert 30745 to fraction \frac{8147425}{265}.

$$-\frac{1646941}{265}+\frac{8147425}{265}+29975+25+55+88+445$$

Since -\frac{1646941}{265} and \frac{8147425}{265} have the same denominator, add them by adding their numerators.

$$\frac{-1646941+8147425}{265}+29975+25+55+88+445$$

Add -1646941 and 8147425 to get 6500484.

$$\frac{6500484}{265}+29975+25+55+88+445$$

Convert 29975 to fraction \frac{7943375}{265}.

$$\frac{6500484}{265}+\frac{7943375}{265}+25+55+88+445$$

Since \frac{6500484}{265} and \frac{7943375}{265} have the same denominator, add them by adding their numerators.

$$\frac{6500484+7943375}{265}+25+55+88+445$$

Add 6500484 and 7943375 to get 14443859.

$$\frac{14443859}{265}+25+55+88+445$$

Convert 25 to fraction \frac{6625}{265}.

$$\frac{14443859}{265}+\frac{6625}{265}+55+88+445$$

Since \frac{14443859}{265} and \frac{6625}{265} have the same denominator, add them by adding their numerators.

$$\frac{14443859+6625}{265}+55+88+445$$

Add 14443859 and 6625 to get 14450484.

$$\frac{14450484}{265}+55+88+445$$

Convert 55 to fraction \frac{14575}{265}.

$$\frac{14450484}{265}+\frac{14575}{265}+88+445$$

Since \frac{14450484}{265} and \frac{14575}{265} have the same denominator, add them by adding their numerators.

$$\frac{14450484+14575}{265}+88+445$$

Add 14450484 and 14575 to get 14465059.

$$\frac{14465059}{265}+88+445$$

Convert 88 to fraction \frac{23320}{265}.

$$\frac{14465059}{265}+\frac{23320}{265}+445$$

Since \frac{14465059}{265} and \frac{23320}{265} have the same denominator, add them by adding their numerators.

$$\frac{14465059+23320}{265}+445$$

Add 14465059 and 23320 to get 14488379.

$$\frac{14488379}{265}+445$$

Convert 445 to fraction \frac{117925}{265}.

$$\frac{14488379}{265}+\frac{117925}{265}$$

Since \frac{14488379}{265} and \frac{117925}{265} have the same denominator, add them by adding their numerators.

$$\frac{14488379+117925}{265}$$

Add 14488379 and 117925 to get 14606304.

$$\frac{14606304}{265}$$

Factor

$$\frac{3 \cdot 233 \cdot 653 \cdot 2 ^ {5}}{5 \cdot 53} = 55118\frac{34}{265} = 55118.12830188679$$