# Determine if a Polynomial 18 1/2÷5 1/10

1812÷5110
A polynomial is a combination of terms separated using + or – signs. Polynomials cannot contain any of the following:
1. Variables raised to a negative or fractional exponent. (2x-2,x12,…).
2. Variables in the denominator. (1x,1×2,…).
3. Variables under a radical. (x,x3,…).
4. Special features. (trig functions, absolute values, logarithms, …).
Simplify the expression.
Convert 1812 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
18+125110
To write 18 as a fraction with a common denominator, multiply by 22.
18⋅22+125110
Combine 18 and 22.
18⋅22+125110
Combine the numerators over the common denominator.
18⋅2+125110
Simplify the numerator.
Multiply 18 by 2.
36+125110
3725110
3725110
3725110
3725110
Convert 5110 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
3725+110
To write 5 as a fraction with a common denominator, multiply by 1010.
3725⋅1010+110
Combine 5 and 1010.
3725⋅1010+110
Combine the numerators over the common denominator.
3725⋅10+110
Simplify the numerator.
Multiply 5 by 10.
37250+110
3725110
3725110
3725110
3725110
Multiply the numerator by the reciprocal of the denominator.
372⋅1051
Cancel the common factor of 2.
Factor 2 out of 10.
372⋅2(5)51
Cancel the common factor.
372⋅2⋅551
Rewrite the expression.
37(551)
37(551)
Combine 37 and 551.
37⋅551
Multiply 37 by 5.
18551
18551
Determine if the expression breaks any of the rules.
Does not break any of the rules
Determine if the expression is a polynomial.
Polynomial
Determine if a Polynomial 18 1/2÷5 1/10