Simplify negative 2 and 1 over 9 – negative 4 and 1 over 3

Question:

Simplify -2¹/9 – -4⅓

-2¹/9 – -4⅓ when simplified is 20/9

Step-by-step explanation:

Given

Simplify -2¹/9 – -4⅓

First, we need to convert both fractions from mixed fraction to improper fraction

-2¹/9 = -(18+1)/9

-2¹/9 = -19/9

-4⅓ = -(12+1)/3

-4⅓ = --13/3

So, -2¹/9 – -4⅓ becomes

-19/9 - - 13/3

-19/9 + 13/3

Find LCM of both fractions (9)

(-19 + 39)/9

20/9

Hence, -2¹/9 – -4⅓ when simplified is 20/9

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