Evaluate
\frac{5x}{3}+\frac{1}{6}
Expand
\frac{5x}{3}+\frac{1}{6}
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\left(\frac{4}{3}-\frac{3}{3}\right)\left(5x+\frac{1}{2}\right)
Convert 1 to fraction \frac{3}{3}.
\frac{4-3}{3}\left(5x+\frac{1}{2}\right)
Since \frac{4}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{3}\left(5x+\frac{1}{2}\right)
Subtract 3 from 4 to get 1.
\frac{1}{3}\times 5x+\frac{1}{3}\times \frac{1}{2}
Use the distributive property to multiply \frac{1}{3} by 5x+\frac{1}{2}.
\frac{5}{3}x+\frac{1}{3}\times \frac{1}{2}
Multiply \frac{1}{3} and 5 to get \frac{5}{3}.
\frac{5}{3}x+\frac{1\times 1}{3\times 2}
Multiply \frac{1}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{3}x+\frac{1}{6}
Do the multiplications in the fraction \frac{1\times 1}{3\times 2}.
\left(\frac{4}{3}-\frac{3}{3}\right)\left(5x+\frac{1}{2}\right)
Convert 1 to fraction \frac{3}{3}.
\frac{4-3}{3}\left(5x+\frac{1}{2}\right)
Since \frac{4}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{3}\left(5x+\frac{1}{2}\right)
Subtract 3 from 4 to get 1.
\frac{1}{3}\times 5x+\frac{1}{3}\times \frac{1}{2}
Use the distributive property to multiply \frac{1}{3} by 5x+\frac{1}{2}.
\frac{5}{3}x+\frac{1}{3}\times \frac{1}{2}
Multiply \frac{1}{3} and 5 to get \frac{5}{3}.
\frac{5}{3}x+\frac{1\times 1}{3\times 2}
Multiply \frac{1}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{3}x+\frac{1}{6}
Do the multiplications in the fraction \frac{1\times 1}{3\times 2}.
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Limits
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