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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 Following1 18 1 720 class=

Sagot :

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]

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