Question

How do you show the way to solve the following:1 1/8 - (-1 7/20)

Answer 1

Answer:

$2\frac{19}{40}$

Step-by-step Explanation:

Given the below expression;

$1\frac{1}{8}-(-1\frac{7}{20})$

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;

$1\frac{1}{8}-(-1\frac{7}{20})=\frac{9}{8}-(-\frac{27}{20})$

Step 2: Clear the parentheses;

$\frac{9}{8}-(-\frac{27}{20})=\frac{9}{8}+\frac{27}{20}$

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;

$\frac{9}{8}+\frac{27}{20}=\frac{45+54}{40}=\frac{99}{40}$

Step 4: Convert the improper fraction to a mixed fraction;

$\frac{99}{40}=2\frac{19}{40}$