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Adding Fractions
(1/3)+(2/7) = x |
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Definition
Make the denominators (bottoms) the same
(1/3)+(2/7)=x
(7/21)+(6/21)=x
(13/21)=x |
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Subtracting Fractions
(2/3)-(1/4)=x |
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Definition
Make the denominators (bottoms) the same
(2/3)-(1/4)=x
(8/12)-(3/12)=x
(5/12)=x |
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Multiply Fractions
(1/5)*(5/7)=x |
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Definition
Multiply the numerators
Multiply the denominators
(1/5)*(5/7)=x
(5/35)=x
(1/7)=x
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Dividing Fractions
(1/6)/(1/3) |
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Definition
Cross Multiply
(1/6)/(1/3)
(1/6)*(3/1)
(3/6)=(1/2) |
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| What is a rational number |
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Definition
The Quotient of two integers, with the denominator being a non zero
(A fraction) |
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A quotient is the result of division |
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An integer is any positive natural number and any negative natural number
(...-3,-2,-1,0,1,2,3...) |
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A denominator is the bottom number in a fraction |
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A numerator is the top number in a fraction |
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Natural numbers an ordinary counting numbers (1,2,3...) (sometimes zero) |
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Complex Fractions
(1+(1/2))/(2-(2/3))
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Definition
(1+(1/2))/(2-(2/3))
((1/1)+(1/2))/((2/1)-(2/3))
((2/2)+(1/2))/((6/3)-(2/3))
(3/2)/(4/3)
(3/2)*(3/4)
9/8
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Definition
| A real is any number including negatives, decimals, and numerical expressions such as pi |
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| an irrational number is a decimal number that cannot be expressed as a fraction such as Pi(3.1415926535...) |
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simplifying algebraic expressions
[image] |
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Definition
(2x-4)(3x+2)
6x^2+4x-12x-8
6x^2-8x-8 |
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Definition
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Definition
(a+b)+c= (b+c)+a= (c+a)+b
(a*b)*c= (b*c)*a= (c*a)*b
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