((67 \div 818) \times (11.29+15.99+10.49+(10.49 \div 4)+(8.99 \div 4)+(20.48 \div 4)))+(.2 \times (11.29+15.99+10.49+(10.49 \div 4)+(8.99 \div 4)+(20.48 \div 4))
Evaluate
\frac{688341}{51125}\approx 13.463882641
Factor
\frac{3 \cdot 199 \cdot 1153}{409 \cdot 5 ^ {3}} = 13\frac{23716}{51125} = 13.463882640586798
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\frac{67}{818}\left(27.28+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Add 11.29 and 15.99 to get 27.28.
\frac{67}{818}\left(37.77+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Add 27.28 and 10.49 to get 37.77.
\frac{67}{818}\left(37.77+\frac{1049}{400}+\frac{8.99}{4}+\frac{20.48}{4}\right)+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Expand \frac{10.49}{4} by multiplying both numerator and the denominator by 100.
\frac{67}{818}\left(\frac{3777}{100}+\frac{1049}{400}+\frac{8.99}{4}+\frac{20.48}{4}\right)+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Convert decimal number 37.77 to fraction \frac{3777}{100}.
\frac{67}{818}\left(\frac{15108}{400}+\frac{1049}{400}+\frac{8.99}{4}+\frac{20.48}{4}\right)+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Least common multiple of 100 and 400 is 400. Convert \frac{3777}{100} and \frac{1049}{400} to fractions with denominator 400.
\frac{67}{818}\left(\frac{15108+1049}{400}+\frac{8.99}{4}+\frac{20.48}{4}\right)+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Since \frac{15108}{400} and \frac{1049}{400} have the same denominator, add them by adding their numerators.
\frac{67}{818}\left(\frac{16157}{400}+\frac{8.99}{4}+\frac{20.48}{4}\right)+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Add 15108 and 1049 to get 16157.
\frac{67}{818}\left(\frac{16157}{400}+\frac{899}{400}+\frac{20.48}{4}\right)+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Expand \frac{8.99}{4} by multiplying both numerator and the denominator by 100.
\frac{67}{818}\left(\frac{16157+899}{400}+\frac{20.48}{4}\right)+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Since \frac{16157}{400} and \frac{899}{400} have the same denominator, add them by adding their numerators.
\frac{67}{818}\left(\frac{17056}{400}+\frac{20.48}{4}\right)+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Add 16157 and 899 to get 17056.
\frac{67}{818}\left(\frac{1066}{25}+\frac{20.48}{4}\right)+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Reduce the fraction \frac{17056}{400} to lowest terms by extracting and canceling out 16.
\frac{67}{818}\left(\frac{1066}{25}+\frac{2048}{400}\right)+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Expand \frac{20.48}{4} by multiplying both numerator and the denominator by 100.
\frac{67}{818}\left(\frac{1066}{25}+\frac{128}{25}\right)+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Reduce the fraction \frac{2048}{400} to lowest terms by extracting and canceling out 16.
\frac{67}{818}\times \frac{1066+128}{25}+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Since \frac{1066}{25} and \frac{128}{25} have the same denominator, add them by adding their numerators.
\frac{67}{818}\times \frac{1194}{25}+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Add 1066 and 128 to get 1194.
\frac{67\times 1194}{818\times 25}+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Multiply \frac{67}{818} times \frac{1194}{25} by multiplying numerator times numerator and denominator times denominator.
\frac{79998}{20450}+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Do the multiplications in the fraction \frac{67\times 1194}{818\times 25}.
\frac{39999}{10225}+0.2\left(11.29+15.99+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Reduce the fraction \frac{79998}{20450} to lowest terms by extracting and canceling out 2.
\frac{39999}{10225}+0.2\left(27.28+10.49+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Add 11.29 and 15.99 to get 27.28.
\frac{39999}{10225}+0.2\left(37.77+\frac{10.49}{4}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Add 27.28 and 10.49 to get 37.77.
\frac{39999}{10225}+0.2\left(37.77+\frac{1049}{400}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Expand \frac{10.49}{4} by multiplying both numerator and the denominator by 100.
\frac{39999}{10225}+0.2\left(\frac{3777}{100}+\frac{1049}{400}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Convert decimal number 37.77 to fraction \frac{3777}{100}.
\frac{39999}{10225}+0.2\left(\frac{15108}{400}+\frac{1049}{400}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Least common multiple of 100 and 400 is 400. Convert \frac{3777}{100} and \frac{1049}{400} to fractions with denominator 400.
\frac{39999}{10225}+0.2\left(\frac{15108+1049}{400}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Since \frac{15108}{400} and \frac{1049}{400} have the same denominator, add them by adding their numerators.
\frac{39999}{10225}+0.2\left(\frac{16157}{400}+\frac{8.99}{4}+\frac{20.48}{4}\right)
Add 15108 and 1049 to get 16157.
\frac{39999}{10225}+0.2\left(\frac{16157}{400}+\frac{899}{400}+\frac{20.48}{4}\right)
Expand \frac{8.99}{4} by multiplying both numerator and the denominator by 100.
\frac{39999}{10225}+0.2\left(\frac{16157+899}{400}+\frac{20.48}{4}\right)
Since \frac{16157}{400} and \frac{899}{400} have the same denominator, add them by adding their numerators.
\frac{39999}{10225}+0.2\left(\frac{17056}{400}+\frac{20.48}{4}\right)
Add 16157 and 899 to get 17056.
\frac{39999}{10225}+0.2\left(\frac{1066}{25}+\frac{20.48}{4}\right)
Reduce the fraction \frac{17056}{400} to lowest terms by extracting and canceling out 16.
\frac{39999}{10225}+0.2\left(\frac{1066}{25}+\frac{2048}{400}\right)
Expand \frac{20.48}{4} by multiplying both numerator and the denominator by 100.
\frac{39999}{10225}+0.2\left(\frac{1066}{25}+\frac{128}{25}\right)
Reduce the fraction \frac{2048}{400} to lowest terms by extracting and canceling out 16.
\frac{39999}{10225}+0.2\times \frac{1066+128}{25}
Since \frac{1066}{25} and \frac{128}{25} have the same denominator, add them by adding their numerators.
\frac{39999}{10225}+0.2\times \frac{1194}{25}
Add 1066 and 128 to get 1194.
\frac{39999}{10225}+\frac{1}{5}\times \frac{1194}{25}
Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.
\frac{39999}{10225}+\frac{1\times 1194}{5\times 25}
Multiply \frac{1}{5} times \frac{1194}{25} by multiplying numerator times numerator and denominator times denominator.
\frac{39999}{10225}+\frac{1194}{125}
Do the multiplications in the fraction \frac{1\times 1194}{5\times 25}.
\frac{199995}{51125}+\frac{488346}{51125}
Least common multiple of 10225 and 125 is 51125. Convert \frac{39999}{10225} and \frac{1194}{125} to fractions with denominator 51125.
\frac{199995+488346}{51125}
Since \frac{199995}{51125} and \frac{488346}{51125} have the same denominator, add them by adding their numerators.
\frac{688341}{51125}
Add 199995 and 488346 to get 688341.
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