# Simplify 4/(5/(7/8))*2/3+17/30x^3*17/20 4578⋅23+1730×3⋅1720
Simplify the denominator.
Multiply the numerator by the reciprocal of the denominator.
45(87)⋅23+1730×3⋅1720
Multiply 5(87).
Combine 5 and 87.
45⋅87⋅23+1730×3⋅1720
Multiply 5 by 8.
4407⋅23+1730×3⋅1720
4407⋅23+1730×3⋅1720
4407⋅23+1730×3⋅1720
Multiply the numerator by the reciprocal of the denominator.
4(740)⋅23+1730×3⋅1720
Cancel the common factor of 4.
Factor 4 out of 40.
474(10)⋅23+1730×3⋅1720
Cancel the common factor.
474⋅10⋅23+1730×3⋅1720
Rewrite the expression.
710⋅23+1730×3⋅1720
710⋅23+1730×3⋅1720
Cancel the common factor of 2.
Factor 2 out of 10.
72(5)⋅23+1730×3⋅1720
Cancel the common factor.
72⋅5⋅23+1730×3⋅1720
Rewrite the expression.
75⋅13+1730×3⋅1720
75⋅13+1730×3⋅1720
Multiply 75 and 13.
75⋅3+1730×3⋅1720
Multiply 5 by 3.
715+1730×3⋅1720
Combine 1730 and x3.
715+17×330⋅1720
Multiply 17×330⋅1720.
Multiply 17×330 and 1720.
715+17×3⋅1730⋅20
Multiply 17 by 17.
715+289×330⋅20
Multiply 30 by 20.
715+289×3600
715+289×3600
Simplify 4/(5/(7/8))*2/3+17/30x^3*17/20     