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\frac{1}{4}+5X=\frac{4}{5}
Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
5X=\frac{4}{5}-\frac{1}{4}
Subtract \frac{1}{4} from both sides.
5X=\frac{16}{20}-\frac{5}{20}
Least common multiple of 5 and 4 is 20. Convert \frac{4}{5} and \frac{1}{4} to fractions with denominator 20.
5X=\frac{16-5}{20}
Since \frac{16}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.
5X=\frac{11}{20}
Subtract 5 from 16 to get 11.
X=\frac{\frac{11}{20}}{5}
Divide both sides by 5.
X=\frac{11}{20\times 5}
Express \frac{\frac{11}{20}}{5} as a single fraction.
X=\frac{11}{100}
Multiply 20 and 5 to get 100.