Question

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

Answer 1

`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)`