What number must be added to the numerator and denominator of the fraction 7/19 to make the resulting fraction qual to 3/4?
3/4 = 15/20
(7+x) / (19+x) = 3/4,
Cross multiply:
28 + 4x = 57 + 3x,
4x - 3x = 57 - 28,
X = 29.
Check: (7+29)/(19+29) = 36/48 = 3/4.
-8x+7
To find the number that must be added to the numerator and denominator of the fraction 7/19 to make it equal to 3/4, you can set up an equation.
Let's call the number we need to add x.
The numerator of the resulting fraction will be 7 + x, and the denominator will be 19 + x.
The equation we can set up is:
(7 + x) / (19 + x) = 3/4
To solve this equation, we can cross-multiply:
4(7 + x) = 3(19 + x)
Distribute:
28 + 4x = 57 + 3x
Combine like terms:
4x - 3x = 57 - 28
x = 29
Therefore, the number that must be added to the numerator and denominator of the fraction 7/19 to make it equal to 3/4 is 29.