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\frac{5 \cdot 0.9998123463078188 - 2 \cdot 1.11}{5 \cdot 0.01937194286730691 + 2} + 1.11
Evaluate trigonometric functions in the problem
\frac{4.999061731539094-2\times 1.11}{5\times 0.01937194286730691+2}+1.11
Multiply 5 and 0.9998123463078188 to get 4.999061731539094.
\frac{4.999061731539094-2.22}{5\times 0.01937194286730691+2}+1.11
Multiply 2 and 1.11 to get 2.22.
\frac{2.779061731539094}{5\times 0.01937194286730691+2}+1.11
Subtract 2.22 from 4.999061731539094 to get 2.779061731539094.
\frac{2.779061731539094}{0.09685971433653455+2}+1.11
Multiply 5 and 0.01937194286730691 to get 0.09685971433653455.
\frac{2.779061731539094}{2.09685971433653455}+1.11
Add 0.09685971433653455 and 2 to get 2.09685971433653455.
\frac{277906173153909400}{209685971433653455}+1.11
Expand \frac{2.779061731539094}{2.09685971433653455} by multiplying both numerator and the denominator by 100000000000000000.
\frac{55581234630781880}{41937194286730691}+1.11
Reduce the fraction \frac{277906173153909400}{209685971433653455} to lowest terms by extracting and canceling out 5.
\frac{55581234630781880}{41937194286730691}+\frac{111}{100}
Convert decimal number 1.11 to fraction \frac{111}{100}.
\frac{5558123463078188000}{4193719428673069100}+\frac{4655028565827106701}{4193719428673069100}
Least common multiple of 41937194286730691 and 100 is 4193719428673069100. Convert \frac{55581234630781880}{41937194286730691} and \frac{111}{100} to fractions with denominator 4193719428673069100.
\frac{5558123463078188000+4655028565827106701}{4193719428673069100}
Since \frac{5558123463078188000}{4193719428673069100} and \frac{4655028565827106701}{4193719428673069100} have the same denominator, add them by adding their numerators.
\frac{10213152028905294701}{4193719428673069100}
Add 5558123463078188000 and 4655028565827106701 to get 10213152028905294701.