# fractionsHow can i find the value of N that makes each number sentence correct?3/4 + N = 19/20

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The pattern of solving the linear equation 3/4 + N = 19/20 is:

- isolating the unknown N to the left side yields:

N = 19/20 - 3/4

- bring the fractions to a common denominator.

N = 19/(4*5) - 3/4 => N = (19 - 3*5)/20 => N = (19-15)/20

N = 4/20 => N= 1/5

**The solution to the given equation is N = 1/5.**

You need the value for N for which 3/4 + N = 19/20

3/4 + N = 19/20

We see that eliminating the 3/4 from the left would leave N, which would be equal to the numeric value on the right. To do this subtract 3/4 from both the sides

3/4 + N - 3/4 = 19/20 - 3/4

=> N = 2/10

=> **N = 1/5**

3/4-3/4+N= 19/20 -3/4

N= 19/20- 15/20 (20 is the common denominator and 4 goes into 20 5 times, 5 times 3 is 15)

N= 4/20 (19-15 is 4. The bottom stays the same)

N=1/5 (4 goes into 20 5 times, and into itself once. Reduce the fraction to it's smallest value)

How can i find the value of N that makes each number sentence

correct? 3/4 + N = 19/20

first step is to get a common denominator for 3/4 and 19/20, you do this by multiplying 3/4 by 5 so that you would end up with 15/20:

`15/20 + N = 19/20`

now subtract 15/20 to get n alone:

`15/20 - 15/20 + n = 19/20 - 15/20`

simplify:

`x = 4/20`

4 and 20 both share a common factor of 4, so divide by 4:

`x = 1/5`

3/4+N=19/20

There are two fractions with denominators 4 and 20 with the LCM 20. So, multiply by 20 both sides to get rid of the denomnators.

15+20N=19. 20 N will be isolated if we subtract 15 from bothsides.

15+20N-15 =19-4.

20N=19-15=4.

2n/20=4/20

**N=1/5**

20

P = 12 + 45ln x repesents the % of inbound e-mail in the U.S. that is considered spam, where x is the # of years after 2000.

Determine the % of spam in yr 2003.

How many yrs will it take for the % of spam to reach 95%

3/4 + N = 19/20

On the left of equal sign, the common denominator is 4, so we'll amplify N with 4

(3 + 4N)/4=19/20

From proportion rule, the next expression will be equivalent with the previously one

(3 + 4N) X 20 = 4 X 19

We'll open the paranthesis:

60 + 80 N = 76

80 N = 76-60

80 N = 16

N = 16/80

N = 1 / 5= 0.2