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

step-by-step explanation:

shell's the art director at her local community center. she paid $10 and for each child that attends she earns $4.

for each child she ears $4 that is the slope m = 4

she paid $10, that is the initial amount paid. so 10 is the y intercept b

m =4   and b = 10

y intercept is 10 so the point is (0,10)

we start graph from y intercept (0,10)

slope = 4 . we know slope = rise / run

slope = 4   or 4/1   are same

rise = 4   and run = 1

for rise we move 4 units up and for run we move 1 unit to the right

the graph is attached below

x axis is the number of child she attends

y axis is the amount   she earns