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Created on: 2012-04-13

A sample problem solved by Quickmath online math solver

Command

Join fractions

Expression

1/(z+0.5)+(2.39*z-0.797)/(z^2-0.9*z+0.81)

  1. A sum that consists of 2 terms. The 1st term of the sum is equal to a fraction: the top of the fraction is one. The bottom of the fraction is a sum that consists of 2 terms. The 1st term of the sum is z. The 2nd term of the sum is equal to zero point five. The 2nd term of the sum is a rational expression: the numerator of the rational expression is a sum of 2 terms. The 1st term of the sum is equal to a product comprising 2 factors. The 1st factor of the product is equal to two point three nine. The 2nd factor of the product is equal to z. The 2nd term of the sum is negative zero point seven tenth, nine hundredth and seven ten hundredth. The denominator of the rational expression is a sum that comprises 3 terms. The 1st term of the sum is a power. The base is z. The exponent is two. The 2nd term of the sum is equal to a negative product that contains 2 factors. The 1st factor of the product is zero point nine. The 2nd factor of the product is z. The 3rd term of the sum is zero point eight tenth and one hundredth.
  2. one over z plus zero point and five tenth plus two point three nine times z plus negative zero point seven nine seven divided by z to the power of two plus negative zero point and nine tenth multiplied by z plus zero point eight one.

Result

(6780*z^2-1004*z+823)/(10*(100*z^2-90*z+81)*(2*z+1))

  1. A fraction: the numerator of the fraction is a sum containing 3 terms. The 1st term of the sum is a product containing 2 factors. The 1st factor of the product is six thousand and seven hundred and eighty. The 2nd factor of the product is a power. The base is z. The exponent is two. The 2nd term of the sum is a negative product that comprises 2 factors. The 1st factor of the product is equal to one thousand four. The 2nd factor of the product is z. The 3rd term of the sum is equal to eight hundred and twenty three. The denominator of the fraction is a product consisting of 3 factors. The 1st factor of the product is equal to ten. The 2nd factor of the product is equal to a sum containing 3 terms. The 1st term of the sum is equal to a product that comprises 2 factors. The 1st factor of the product is equal to one hundred. The 2nd factor of the product is equal to a power. The base is z. The exponent is two. The 2nd term of the sum is equal to a negative product that comprises 2 factors. The 1st factor of the product is equal to ninety. The 2nd factor of the product is z. The 3rd term of the sum is equal to eighty one. The 3rd factor of the product is equal to a sum of 2 terms. The 1st term of the sum is a product that comprises 2 factors. The 1st factor of the product is two. The 2nd factor of the product is equal to z. The 2nd term of the sum is equal to one.
  2. six thousand and seven hundred and eighty times z raised to the power two plus negative one thousand four multiplied by z plus eight hundred and twenty three fraction line ten times left brace one hundred times z to the power two plus negative ninety times z plus eighty one right brace times opening parenthesis two times z plus one closing parenthesis.