Answer:
[tex]2\frac{19}{40}[/tex]Step-by-step Explanation:
Given the below expression;
[tex]1\frac{1}{8}-(-1\frac{7}{20})[/tex]We'll follow the below steps to solve the given expression;
Step 1: Convert the mixed fractions to improper fractions by multiplying the denominator by the whole number and adding the result to the numerator as seen below;
[tex]1\frac{1}{8}-(-1\frac{7}{20})=\frac{9}{8}-(-\frac{27}{20})[/tex]Step 2: Clear the parentheses;
[tex]\frac{9}{8}-(-\frac{27}{20})=\frac{9}{8}+\frac{27}{20}[/tex]Step 3: Add the fractions together using the LCM of the denominators, 8 and 20, which is 40 by dividing the LCM by the denominator and multiplying the result by the numerator as seen below;
[tex]\frac{9}{8}+\frac{27}{20}=\frac{45+54}{40}=\frac{99}{40}[/tex]Step 4: Convert the improper fraction to a mixed fraction;
[tex]\frac{99}{40}=2\frac{19}{40}[/tex]