Subtracting Dissimilar fraction and Mixed numbee \( 1, \frac{3}{4}-\frac{1}{5}= \)

To subtract the mixed number \(1, \frac{3}{4}\) and the fraction \(\frac{1}{5}\), first convert the mixed number into an improper fraction: \(1, \frac{3}{4} = \frac{7}{4}\). Now, to subtract \(\frac{1}{5}\), find a common denominator, which is 20 in this case. Convert both fractions: \(\frac{7}{4} = \frac{35}{20}\) and \(\frac{1}{5} = \frac{4}{20}\). Now, subtract: \(\frac{35}{20} - \frac{4}{20} = \frac{31}{20}\). You can convert this back to a mixed number, giving you \(1, \frac{11}{20}\). To make sure you’re not making mistakes next time, remember to carefully identify your common denominator and convert fractions properly. Errors often happen when people forget to adjust both fractions to the same base before subtracting. Keeping it neat with steps can save you from confusion!