What types of problems can be solved using the GCF what types of problems can be solved using the least common multiple

1 answer:

5 0

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:
$\frac{48}{72}$ ÷ $\frac{24}{24}$ = $\frac{2}{3}$
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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Find an equation for the nth term of a geometric sequence where the second and fifth terms are -2 and 16, respectively.

Tju [1.3M]

Hello :
the nth term of a geometric sequence is :
Un = Up ×r^(n-p) . r is the common ratio
for : p=5 and n= 2
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but : -8 = (-2)^3
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Un = -2 ×(-2)^(n-2)= (-2)^(n-2+1)

the nth term of a geometric sequenceis : Un = (-2)^(n-1)

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WILL MARKBRANLIEST ...

MA_775_DIABLO [31]

Make ratios.

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cross multiply

12(x) = 12x
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12x = 240

isolate the x, divide 12 from both sides

12x/12 = 240/12

x = 20

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