Solve the equation. Check your solution. a/4 - 5/6= -1/2

a= 4/3

Step-by-step explanation:

1.) Simplify both sides of the given equation:

1/4a + -5/6 = -1/2

2.) Add the 5/6 to both sides (cancels the -5/6)

1/4a + -5/6 (+5/6) = -1/2 (+5/6)

1/4a = 1/3

3.) Multiply both sides by 4 (the denominator)

4 * 1/4a = 1/3 * 4

a = 4/3

To check the solution, plug in 4/3 into a:

4/3/4 - 5/6 = -1/2

2.) Dividing fractions is also multiplication:

(4/3 * 1/4) - 5/6 = -1/2

3.) Get the difference of 1/3 and 5/6

1/3 - 5/6 = -1/2

4.) Simplify -3/6 (3 goes into 3 ONCE and into 6 TWO times)

-3/6 = -1/2

5.) Check to see if both sides match

-1/2 = -1/2

step-by-step explanation:

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