Add. 5/6 + 2 3/4
enter the sum in the box has a mixed number in the simplest form

3⁷/₁₂

Explanation:

Numerator- number on top of fraction

Denominator- number on bottom of fraction

First find a common denominator. A number that both denominators can go into. In this case we'll use 12. Because both of the denominators, 6 and 4, fit into 12.

6 goes into 12 twice. And 4 goes into 12 three times.

To convert to a common denominator, multiply both the numerator and the denominator by the same number. Do not multiply the whole number.

So because 6 goes into 12 twice, we multiply by 2.

⁵/₆ x 2 = ¹⁰/₁₂

And because 4 goes into 12 three times, we multiply by 3.

2³/₄ × 3 = 2⁹/₁₂

Okay so now that both numbers have a common denominator, we can add.

¹⁰/₁₂ + 2⁹/₁₂ = 2 ¹⁹/₁₂

Simplified as 3 ⁷/₁₂

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.