SOLUTION: I a having toubles figuring out how to find equivalent fractions so the fraction in each pair have a same denominator.. 12/5 and 8/3 i dont get how to do it and then place it a

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I a having toubles figuring out how to find equivalent fractions so the fraction in each pair have a same denominator.. 12/5 and 8/3 i dont get how to do it and then place it a      Log On


   

Question 570484: I a having toubles figuring out how to find equivalent fractions so the fraction in each pair have a same denominator..
12/5 and 8/3
i dont get how to do it and then place it a number line??? help :)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
You would need a common denominator that is a multiple of both denominators.
In some cases, just multiplying the denominators would give you a good common denominator. Other times you could find an easier, smaller one.
In this case 3%2A5=15 is the least common multiple, and a great common denominator.
The next step is to find the equivalent fractions.
Equivalent fractions are made by multiplying or dividing the numerator and denominator (top and bottom numbers) by the same number. So
12%2F5=12%2A2%2F%285%2A2%29=24%2F10
also 12%2F5=12%2A3%2F%285%2A3%29=36%2F15
Multiplying numerator and denominator of 8%2F3 by 5, you get
8%2F3=8%2A5%2F%283%2A5%29=40%2F15
To place them on a number line, I would divide to get them in decimal form, and then plot them accordingly.
8%2F3 = 2%262%2F3 = about 2.67 (rounded}
12%2F5=2.4 (that one divides exactly, to give you a terminating decimal.