can someone help meWhat is the missing numerator?

blank over seven plus thirteen over fourteen equals one and three fourteenths (20 points)

a
11

b
8

c
5

d
2

Respuesta :

Answer:

d 2

Step-by-step explanation:

x/7 +13/14 = 17/14

double the first one so all the denominators are the same

2x/14+13/14=17/14

then subtract the second fraction from the thrid

2x/14=4/14

then we can divide by two so we are back to 7 as the demoninator

x/7=2/7

X/7 + 13/14 = 1(3/14)

Convert the mix fraction into improper fraction:
(14 x 1) + 3 = 17 /14

X has to equal the difference between 13 and 17 which is 4

Remember since the lowest common denominator is 14 you would have to multiply x/7 by 2 on top and bottom and make sure that the x value is equal to 4

So ...

(2/7) + (13/14)

(4/14) + (13/14)

Add the number and keep the denominator the same

= 17/14 or 1(3/14)

Therefore the missing number is 2.

I hope this doesn’t sound too confusing :)