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A=\frac{1}{3}-\frac{1\times 4}{3\times 7}
Multiply \frac{1}{3} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.
A=\frac{1}{3}-\frac{4}{21}
Do the multiplications in the fraction \frac{1\times 4}{3\times 7}.
A=\frac{7}{21}-\frac{4}{21}
Least common multiple of 3 and 21 is 21. Convert \frac{1}{3} and \frac{4}{21} to fractions with denominator 21.
A=\frac{7-4}{21}
Since \frac{7}{21} and \frac{4}{21} have the same denominator, subtract them by subtracting their numerators.
A=\frac{3}{21}
Subtract 4 from 7 to get 3.
A=\frac{1}{7}
Reduce the fraction \frac{3}{21} to lowest terms by extracting and canceling out 3.