\Lambda = 1.0 \% + 1.7 \times 5.0 \%
Solve for Λ
\Lambda =0.095
Assign Λ
\Lambda ≔0.095
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\Lambda =\frac{1}{100}+1.7\times \frac{1}{20}
Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.
\Lambda =\frac{1}{100}+\frac{17}{10}\times \frac{1}{20}
Convert decimal number 1.7 to fraction \frac{17}{10}.
\Lambda =\frac{1}{100}+\frac{17\times 1}{10\times 20}
Multiply \frac{17}{10} times \frac{1}{20} by multiplying numerator times numerator and denominator times denominator.
\Lambda =\frac{1}{100}+\frac{17}{200}
Do the multiplications in the fraction \frac{17\times 1}{10\times 20}.
\Lambda =\frac{2}{200}+\frac{17}{200}
Least common multiple of 100 and 200 is 200. Convert \frac{1}{100} and \frac{17}{200} to fractions with denominator 200.
\Lambda =\frac{2+17}{200}
Since \frac{2}{200} and \frac{17}{200} have the same denominator, add them by adding their numerators.
\Lambda =\frac{19}{200}
Add 2 and 17 to get 19.
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