subject: About Fractions And Addition And Subtraction [print this page] A fraction is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on. A much later development were the common or "vulgar" fractions which are still used today (, , , etc.).
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Addition and Subtraction:
The following examples show algebra variables fractions for addition and subtraction.
Addition of Variables Fractions:
The formula to find the fractions for addition is a/b+c/d = (ad+bc)/(bd) .
Solve the algebra fractions: (xy)/3+(xy)/12
Solution:
Cross multiply the numerator and multiply denominators
= (xy xx 12+3 xx xy)/(3 xx 12)
Add the numerator
= (12xy+3xy)/36
= (15xy)/36
By reducing this fraction we get the answers (5xy)/12 .
Solve the algebra fractions: (10z^2)/2+(5y)/(2x)
Solution:
Cross multiply the numerator and multiply denominators
= (10z^2 xx 2x+2 xx 5y)/(2 xx 2x)
Add the numerator
= (20xz^2+10y)/(4x)
= (30xyz^2)/(4x)
By reducing this fraction we get the answers (15yz^2)/2 .
Subtraction of Variables Fractions:
The formula to find the subtraction of fraction is a/b - c/d = (ad-bc)/(bd) .
Solve the algebra fractions: (zy)/3-(2yz)/12
Solution:
Cross multiply the numerator and multiply denominators
= (zy xx 12-3 xx 2yz)/(3 xx 12)
Subtract the numerator
= (12yz-6yz)/36
= (6yz)/36
By reducing this fraction we get the answers (yz)/6 .
Solve the algebra fractions: (10x^2)/2-(5x^2)/2
Solution:
Cross multiply the numerator and multiply denominators
= (10x^2 xx 2-2 xx 5x^2)/(2 xx 2)
Subtract the numerator
= (20x^2-10x^2)/4
= (10x^2)/4
By reducing this fraction we get the answers (5x^2)/2 .
Multiplication and Division:
The following examples show algebra variables fractions for multiplication and division.
