Respuesta :
Let the numerator be x, and the denominator be y.
The ratio of the numerator to the denominator of a fraction is 2 to 3.
>> x/y = 2/3
If both the numerator and the denominator are increased by 2, the fraction becomes 3/4.
>> (x + 2)/(y + 2) = 3/4
From x/y = 2/3, x = (2/3)y
From (x + 2)/(y + 2) = 3/4, cross multiply and we have
4(x + 2) = 3(y + 2)
Substitute x = (2/3)y into the equation above.
4[(2/3)y + 2] = 3(y + 2)
Distribute the lefh hand side and solve for y.
(8/3)y + 8 = 3y + 6
(8/3)y - 3y = 6 - 8
-(1/3)y = -2
y = 6
x = (2/3)y = (2/3)(6) = 4
Hence the numerator is 4, and the denominator is 6.
Hope this helps!
The ratio of the numerator to the denominator of a fraction is 2 to 3.
>> x/y = 2/3
If both the numerator and the denominator are increased by 2, the fraction becomes 3/4.
>> (x + 2)/(y + 2) = 3/4
From x/y = 2/3, x = (2/3)y
From (x + 2)/(y + 2) = 3/4, cross multiply and we have
4(x + 2) = 3(y + 2)
Substitute x = (2/3)y into the equation above.
4[(2/3)y + 2] = 3(y + 2)
Distribute the lefh hand side and solve for y.
(8/3)y + 8 = 3y + 6
(8/3)y - 3y = 6 - 8
-(1/3)y = -2
y = 6
x = (2/3)y = (2/3)(6) = 4
Hence the numerator is 4, and the denominator is 6.
Hope this helps!
Answer:
3n = 2d and 4n + 8 = 3d + 6
Step-by-step explanation:
The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased by 2, the fraction becomes 3/4.
Let n be the numerator and d be the denominator
The ratio of the numerator to the denominator of a fraction is 2 to 3
[tex]\frac{n}{d} =\frac{2}{3}[/tex]
Corss multiply it , the equation becomes
3n = 2d
If both the numerator and the denominator are increased by 2, the fraction becomes 3/4.
add 2 with n and d
[tex]\frac{n+2}{d+2} =\frac{3}{4}[/tex]
Cross multiply it
4(n+2) = 3(d+2)
4n+8 = 3d+6
