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6.6=0+\frac{1}{2}\times 3.8t
Add 0 and 3.8 to get 3.8.
6.6=0+\frac{1}{2}\times \frac{19}{5}t
Convert decimal number 3.8 to fraction \frac{38}{10}. Reduce the fraction \frac{38}{10} to lowest terms by extracting and canceling out 2.
6.6=0+\frac{1\times 19}{2\times 5}t
Multiply \frac{1}{2} times \frac{19}{5} by multiplying numerator times numerator and denominator times denominator.
6.6=0+\frac{19}{10}t
Do the multiplications in the fraction \frac{1\times 19}{2\times 5}.
6.6=\frac{19}{10}t
Anything plus zero gives itself.
\frac{19}{10}t=6.6
Swap sides so that all variable terms are on the left hand side.
t=6.6\times \frac{10}{19}
Multiply both sides by \frac{10}{19}, the reciprocal of \frac{19}{10}.
t=\frac{33}{5}\times \frac{10}{19}
Convert decimal number 6.6 to fraction \frac{66}{10}. Reduce the fraction \frac{66}{10} to lowest terms by extracting and canceling out 2.
t=\frac{33\times 10}{5\times 19}
Multiply \frac{33}{5} times \frac{10}{19} by multiplying numerator times numerator and denominator times denominator.
t=\frac{330}{95}
Do the multiplications in the fraction \frac{33\times 10}{5\times 19}.
t=\frac{66}{19}
Reduce the fraction \frac{330}{95} to lowest terms by extracting and canceling out 5.