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\frac{1}{4}\times \frac{157}{50}\times 25-\frac{1}{2}\times 5\times 5
Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.
\frac{1\times 157}{4\times 50}\times 25-\frac{1}{2}\times 5\times 5
Multiply \frac{1}{4} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.
\frac{157}{200}\times 25-\frac{1}{2}\times 5\times 5
Do the multiplications in the fraction \frac{1\times 157}{4\times 50}.
\frac{157\times 25}{200}-\frac{1}{2}\times 5\times 5
Express \frac{157}{200}\times 25 as a single fraction.
\frac{3925}{200}-\frac{1}{2}\times 5\times 5
Multiply 157 and 25 to get 3925.
\frac{157}{8}-\frac{1}{2}\times 5\times 5
Reduce the fraction \frac{3925}{200} to lowest terms by extracting and canceling out 25.
\frac{157}{8}-\frac{5}{2}\times 5
Multiply \frac{1}{2} and 5 to get \frac{5}{2}.
\frac{157}{8}-\frac{5\times 5}{2}
Express \frac{5}{2}\times 5 as a single fraction.
\frac{157}{8}-\frac{25}{2}
Multiply 5 and 5 to get 25.
\frac{157}{8}-\frac{100}{8}
Least common multiple of 8 and 2 is 8. Convert \frac{157}{8} and \frac{25}{2} to fractions with denominator 8.
\frac{157-100}{8}
Since \frac{157}{8} and \frac{100}{8} have the same denominator, subtract them by subtracting their numerators.
\frac{57}{8}
Subtract 100 from 157 to get 57.