Find the sum. Write your answer in simplest form. 3/7 + 2/3

1 2/21

Step-by-step explanation:

We start out with:

3/7 + 2/3

In order to add them together, they must have an equal denominator. An easy way to find an equal denominator is the cross method. We divide 7 by 3 and 3 by 7, giving us a denominator of 21:

3/21 + 2/21

But what about the numerators? You do the same thing as before (multiplying by the other's denominator).  Now we have:

9/21 + 14/21

We add both together (the denominator stays the same) and we get 23. 23/21 is correct but not in simplest form. We remove 21 from the numerator (because it is a whole) and finally get:

1 2/21!

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30

step-by-step explanation:

times by times

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2