Solve 200+8.24+5.47+7.45+23.9+2.93+34.51+7.67+67.8div29+2.91+0.64+12.62+3.37+0.72+0.88=

$$200+8.24+5.47+7.45+23.9+2.93+34.51+7.67+67.8 \div 29+2.91+0.64+12.62+3.37+0.72+0.88=$$

Evaluate

$$\frac{909579}{2900}\approx 313.647931034$$

Solution Steps

Add 200 and 8.24 to get 208.24.

$$208.24+5.47+7.45+23.9+2.93+34.51+7.67+\frac{67.8}{29}+2.91+0.64+12.62+3.37+0.72+0.88$$

Add 208.24 and 5.47 to get 213.71.

$$213.71+7.45+23.9+2.93+34.51+7.67+\frac{67.8}{29}+2.91+0.64+12.62+3.37+0.72+0.88$$

Add 213.71 and 7.45 to get 221.16.

$$221.16+23.9+2.93+34.51+7.67+\frac{67.8}{29}+2.91+0.64+12.62+3.37+0.72+0.88$$

Add 221.16 and 23.9 to get 245.06.

$$245.06+2.93+34.51+7.67+\frac{67.8}{29}+2.91+0.64+12.62+3.37+0.72+0.88$$

Add 245.06 and 2.93 to get 247.99.

$$247.99+34.51+7.67+\frac{67.8}{29}+2.91+0.64+12.62+3.37+0.72+0.88$$

Add 247.99 and 34.51 to get 282.5.

$$282.5+7.67+\frac{67.8}{29}+2.91+0.64+12.62+3.37+0.72+0.88$$

Add 282.5 and 7.67 to get 290.17.

$$290.17+\frac{67.8}{29}+2.91+0.64+12.62+3.37+0.72+0.88$$

Expand \frac{67.8}{29} by multiplying both numerator and the denominator by 10.

$$290.17+\frac{678}{290}+2.91+0.64+12.62+3.37+0.72+0.88$$

Reduce the fraction \frac{678}{290} to lowest terms by extracting and canceling out 2.

$$290.17+\frac{339}{145}+2.91+0.64+12.62+3.37+0.72+0.88$$

Convert decimal number 290.17 to fraction \frac{29017}{100}.

$$\frac{29017}{100}+\frac{339}{145}+2.91+0.64+12.62+3.37+0.72+0.88$$

Least common multiple of 100 and 145 is 2900. Convert \frac{29017}{100} and \frac{339}{145} to fractions with denominator 2900.

$$\frac{841493}{2900}+\frac{6780}{2900}+2.91+0.64+12.62+3.37+0.72+0.88$$

Since \frac{841493}{2900} and \frac{6780}{2900} have the same denominator, add them by adding their numerators.

$$\frac{841493+6780}{2900}+2.91+0.64+12.62+3.37+0.72+0.88$$

Add 841493 and 6780 to get 848273.

$$\frac{848273}{2900}+2.91+0.64+12.62+3.37+0.72+0.88$$

Convert decimal number 2.91 to fraction \frac{291}{100}.

$$\frac{848273}{2900}+\frac{291}{100}+0.64+12.62+3.37+0.72+0.88$$

Least common multiple of 2900 and 100 is 2900. Convert \frac{848273}{2900} and \frac{291}{100} to fractions with denominator 2900.

$$\frac{848273}{2900}+\frac{8439}{2900}+0.64+12.62+3.37+0.72+0.88$$

Since \frac{848273}{2900} and \frac{8439}{2900} have the same denominator, add them by adding their numerators.

$$\frac{848273+8439}{2900}+0.64+12.62+3.37+0.72+0.88$$

Add 848273 and 8439 to get 856712.

$$\frac{856712}{2900}+0.64+12.62+3.37+0.72+0.88$$

Reduce the fraction \frac{856712}{2900} to lowest terms by extracting and canceling out 4.

$$\frac{214178}{725}+0.64+12.62+3.37+0.72+0.88$$

Convert decimal number 0.64 to fraction \frac{64}{100}. Reduce the fraction \frac{64}{100} to lowest terms by extracting and canceling out 4.

$$\frac{214178}{725}+\frac{16}{25}+12.62+3.37+0.72+0.88$$

Least common multiple of 725 and 25 is 725. Convert \frac{214178}{725} and \frac{16}{25} to fractions with denominator 725.

$$\frac{214178}{725}+\frac{464}{725}+12.62+3.37+0.72+0.88$$

Since \frac{214178}{725} and \frac{464}{725} have the same denominator, add them by adding their numerators.

$$\frac{214178+464}{725}+12.62+3.37+0.72+0.88$$

Add 214178 and 464 to get 214642.

$$\frac{214642}{725}+12.62+3.37+0.72+0.88$$

Convert decimal number 12.62 to fraction \frac{1262}{100}. Reduce the fraction \frac{1262}{100} to lowest terms by extracting and canceling out 2.

$$\frac{214642}{725}+\frac{631}{50}+3.37+0.72+0.88$$

Least common multiple of 725 and 50 is 1450. Convert \frac{214642}{725} and \frac{631}{50} to fractions with denominator 1450.

$$\frac{429284}{1450}+\frac{18299}{1450}+3.37+0.72+0.88$$

Since \frac{429284}{1450} and \frac{18299}{1450} have the same denominator, add them by adding their numerators.

$$\frac{429284+18299}{1450}+3.37+0.72+0.88$$

Add 429284 and 18299 to get 447583.

$$\frac{447583}{1450}+3.37+0.72+0.88$$

Convert decimal number 3.37 to fraction \frac{337}{100}.

$$\frac{447583}{1450}+\frac{337}{100}+0.72+0.88$$

Least common multiple of 1450 and 100 is 2900. Convert \frac{447583}{1450} and \frac{337}{100} to fractions with denominator 2900.

$$\frac{895166}{2900}+\frac{9773}{2900}+0.72+0.88$$

Since \frac{895166}{2900} and \frac{9773}{2900} have the same denominator, add them by adding their numerators.

$$\frac{895166+9773}{2900}+0.72+0.88$$

Add 895166 and 9773 to get 904939.

$$\frac{904939}{2900}+0.72+0.88$$

Convert decimal number 0.72 to fraction \frac{72}{100}. Reduce the fraction \frac{72}{100} to lowest terms by extracting and canceling out 4.

$$\frac{904939}{2900}+\frac{18}{25}+0.88$$

Least common multiple of 2900 and 25 is 2900. Convert \frac{904939}{2900} and \frac{18}{25} to fractions with denominator 2900.

$$\frac{904939}{2900}+\frac{2088}{2900}+0.88$$

Since \frac{904939}{2900} and \frac{2088}{2900} have the same denominator, add them by adding their numerators.

$$\frac{904939+2088}{2900}+0.88$$

Add 904939 and 2088 to get 907027.

$$\frac{907027}{2900}+0.88$$

Convert decimal number 0.88 to fraction \frac{88}{100}. Reduce the fraction \frac{88}{100} to lowest terms by extracting and canceling out 4.

$$\frac{907027}{2900}+\frac{22}{25}$$

Least common multiple of 2900 and 25 is 2900. Convert \frac{907027}{2900} and \frac{22}{25} to fractions with denominator 2900.

$$\frac{907027}{2900}+\frac{2552}{2900}$$

Since \frac{907027}{2900} and \frac{2552}{2900} have the same denominator, add them by adding their numerators.

$$\frac{907027+2552}{2900}$$

Add 907027 and 2552 to get 909579.

$$\frac{909579}{2900}$$

Factor

$$\frac{3 \cdot 11 \cdot 43 \cdot 641}{29 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 313\frac{1879}{2900} = 313.6479310344828$$