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\frac{100}{8}=\frac{15}{x}
Divide both sides by 8.
\frac{25}{2}=\frac{15}{x}
Reduce the fraction \frac{100}{8} to lowest terms by extracting and canceling out 4.
25x=2\times 15
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of 2,x.
25x=30
Multiply 2 and 15 to get 30.
x=\frac{30}{25}
Divide both sides by 25.
x=\frac{6}{5}
Reduce the fraction \frac{30}{25} to lowest terms by extracting and canceling out 5.