Math Module IV Juan Armando Pérez Vital A01400839 Multicultural

Math Module IV Juan Armando Pérez Vital A01400839 Multicultural

1. Rational Numbers

   • Quotients of integrers Is the greatest common factor of numerator and the denominator 1.
     • Fundamental property of rational numbers a/b * k/k = a/b*
       • 36/54 = 2/3*18/18=2/3*
         • Cross-Product test a/b=c/d if a*d=b*c
           • 36/54=2/3 36*3=108 54*2=108 108=108

2. Operations with rational numbers

   • To realize the operation of addition the two fractions must be redrawn in a unit taht both have in common, then add numerator with numerator and the same with denominator, then the fraction simplifies
     • 1/3+2/5= 5/15+6/15= 11/15
     • Addition and Simplifying of fractions
   • Multiplying of fractions
     • Multiply the nominator with th other and teh same with denominator
       • 1/2*2/5= 2/10
         • Because 2 and 10 are multiples of themselves they can be simplified by the same number taht is 2
           • 2/10= 1/5
   • Division of fractions
     • To divide the fractions invert the divisor and then multiply
       • (7/8)/(1/4)= 7*4=28, 8*1=8 = 28/8
         • (a/b)/(c/d) = ad/bc