Question

simplify the following algebraic fractions. please answer all with all working

1. 3 over 5x minus 2 over 7x

2. 3(x-5) over 7 minus 4(x-1) over 3

3. 2x-3 over 5 plus x+2 over 3

4. 2(x+4) over x-3 +3(2x+1) over x+2

Answer 1

Numerator: The top part of a fraction (ie. (x+5)/(2x+3)).

Denominator: The bottom part of the fraction (ie. (x+5)/(2x+3)).

Common Denominator: This is a number that you can divide out of both the top and bottom of a fraction. For example, in the fraction 3/9, the common denominator is 3, since both numbers can be divided by 3.

Factor: One number that multiples to make another. For example, the factors of 15 are 1, 3, 5, and 15. The factors of 4 are 1, 2, and 4.

Simplified Equation: This involves removing all common factors and grouping similar variables together (5x + x = 6x) until you have the most basic form of a fraction, equation, or problem. If you cannot do anything more to the fraction, it is simplified

Answer 2

Alpha is a great tool for factoring, expanding or simplifying polynomials. It also multiplies, divides and finds the greatest common divisors of pairs of polynomials; determines values of polynomial roots; plots polynomials; finds partial fraction decompositions; and more.