A=12⋅(b(912))
A mixed number is an addition of its whole and fractional parts.
A=12⋅(b(9+12))
Add 9 and 12.
To write 9 as a fraction with a common denominator, multiply by 22.
A=12⋅(b(9⋅22+12))
Combine 9 and 22.
A=12⋅(b(9⋅22+12))
Combine the numerators over the common denominator.
A=12⋅(b9⋅2+12)
Simplify the numerator.
Multiply 9 by 2.
A=12⋅(b18+12)
Add 18 and 1.
A=12⋅(b192)
A=12⋅(b192)
A=12⋅(b192)
A=12⋅(b192)
Combine b and 192.
A=12⋅b⋅192
Move 19 to the left of b.
A=12⋅19⋅b2
Multiply 12 and 19b2.
A=19b2⋅2
Multiply 2 by 2.
A=19b4
A=19b4
Solve for A A=1/2*(b(9 1/2))
