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

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

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Answer:


2(19)/(40)

Explanation:

Given the below expression;


1(1)/(8)-(-1(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(1)/(8)-(-1(7)/(20))=(9)/(8)-(-(27)/(20))

Step 2: Clear the parentheses;


(9)/(8)-(-(27)/(20))=(9)/(8)+(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;


(9)/(8)+(27)/(20)=(45+54)/(40)=(99)/(40)

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


(99)/(40)=2(19)/(40)

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