# Simplify (1/(8-2a))÷(5/(3a-12))

18-2a÷53a-12
To divide by a fraction, multiply by its reciprocal.
18-2a⋅3a-125
Factor 2 out of 8-2a.
Factor 2 out of 8.
12(4)-2a⋅3a-125
Factor 2 out of -2a.
12(4)+2(-a)⋅3a-125
Factor 2 out of 2(4)+2(-a).
12(4-a)⋅3a-125
12(4-a)⋅3a-125
Factor 3 out of 3a-12.
Factor 3 out of 3a.
12(4-a)⋅3(a)-125
Factor 3 out of -12.
12(4-a)⋅3a+3⋅-45
Factor 3 out of 3a+3⋅-4.
12(4-a)⋅3(a-4)5
12(4-a)⋅3(a-4)5
Multiply 12(4-a)⋅3(a-4)5.
Multiply 12(4-a) and 3(a-4)5.
3(a-4)2(4-a)⋅5
Multiply 5 by 2.
3(a-4)10(4-a)
3(a-4)10(4-a)
Cancel the common factor of a-4 and 4-a.
Factor -1 out of a.
3(-1(-a)-4)10(4-a)
Rewrite -4 as -1(4).
3(-1(-a)-1(4))10(4-a)
Factor -1 out of -1(-a)-1(4).
3(-1(-a+4))10(4-a)
Reorder terms.
3⋅-1(-a+4)10(-a+4)
Cancel the common factor.
3⋅-1(-a+4)10(-a+4)
Rewrite the expression.
3⋅-110
3⋅-110
Simplify the expression.
Multiply 3 by -1.
-310
Move the negative in front of the fraction.
-310
-310
The result can be shown in multiple forms.
Exact Form:
-310
Decimal Form:
-0.3
Simplify (1/(8-2a))÷(5/(3a-12))

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