What types of problems can be solved using the GCF what types of problems can be solved using the least common multiple
1 answer:
The Least Common Multiple is used to add fractions with unlike denominators:
Three things can happen:
1/3 + 1/7 - the LCM is the product of the denominators (in this case 21)
2/8 + 3/16 - the LCM is the greater denominator (in this case 16)
2/9 + 5/6 - the LCM is lower than the product of the denominators (in this case it is 18)
The Greatest Common Factor is used to reduce fractions quickly:
÷ 
= 
By using the GCF -in this case 24, I reduced the fraction in a single step.
If I kept dividing by 2/2 (not the GCF), it would take much longer:
48/72 = 24/36 = 12/18 = 6/9 and then I would still have to divide 6/9 by 3/3 to get 2/3
Three things can happen:
1/3 + 1/7 - the LCM is the product of the denominators (in this case 21)
2/8 + 3/16 - the LCM is the greater denominator (in this case 16)
2/9 + 5/6 - the LCM is lower than the product of the denominators (in this case it is 18)
The Greatest Common Factor is used to reduce fractions quickly:
By using the GCF -in this case 24, I reduced the fraction in a single step.
If I kept dividing by 2/2 (not the GCF), it would take much longer:
48/72 = 24/36 = 12/18 = 6/9 and then I would still have to divide 6/9 by 3/3 to get 2/3
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Answer:
Step-by-step explanation:
This may seem a bit tricky because we are not given enough info really to plug in and solve for the rate. We are told, however, that we are interested in doubling whatever amount we invested. So it is up to us to pick an amount for P, then double it for A(t). Let's use P = 1000 so A(t) = 2000. Filling in then:
and
We need to get that r all by itself and right now it's quite buried. Begin by dividing both sides by 1000 to get
Now take the 60th root of both sides to get
Subtract 1 from both sides to get
and multiply both sides by 12 to finally get the rate in decimal form:
r = .13943328
To get that in a percent form, multiply it by 100:
r = 13.9%