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

Approved by eNotes Editorial Team 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

Approved by eNotes Editorial Team 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)

Approved by eNotes Editorial Team