Question

kayla adds the smae number to both the numerator and denominator of the faction 1/10 her resultion fraction equals 2/3 what number did she add to bothe the numerator and denominator of her original fraction

Answer 1

Answer:

the number is 17.

Step-by-step explanation:

the original ratio was 1:10

let the number be X

thus,

1+X / 10+X = 2/3

3+3x = 20+2x

3x-2x = 20-3

X = 17

Answer 2

Answer:

17

Step-by-step explanation:

Added number= x

Fraction changes as:

• (1+x)/(10+x)=2/3
• 3(1+x)=2(10+x)
• 3x+3=2x+20
• 3x-2x=20-3
• x=17

Answer: Kayla added 17 to original fraction