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\frac{0.152}{0.5\times 0.5+0.09-0.15}
Add 0.125 and 0.027 to get 0.152.
\frac{0.152}{0.25+0.09-0.15}
Multiply 0.5 and 0.5 to get 0.25.
\frac{0.152}{0.34-0.15}
Add 0.25 and 0.09 to get 0.34.
\frac{0.152}{0.19}
Subtract 0.15 from 0.34 to get 0.19.
\frac{152}{190}
Expand \frac{0.152}{0.19} by multiplying both numerator and the denominator by 1000.
\frac{4}{5}
Reduce the fraction \frac{152}{190} to lowest terms by extracting and canceling out 38.