The numerator of a fraction is 2 less than its denominator. If 3 is substracted from the numerator and from the denominator, the new fraction obtainded is 3/4. Find the fraction
Steve,
I am from Sarajevo, Bosnia and Herzegovina.
English is foreign language for me.
Numerator is typing mistake, so what?
I hav qstion i need answer..
If the numerator of a fractionis multiplied by 4 and the denominatoris reduced by 2,the result is 2.if the numeratorof the fraction is increase by 15 and 2 subtracted from thedouble of the denominator the result is 9/7, find the fraction
To solve this problem, we'll use algebraic equations.
Let's assume that the numerator of the fraction is "x" and the denominator is "x + 2" since the numerator is 2 less than the denominator.
According to the given conditions, if we subtract 3 from both the numerator and the denominator, the new fraction obtained is 3/4. This can be written as:
(x - 3) / (x + 2 - 3) = 3/4
Simplifying this equation, we get:
(x - 3) / (x - 1) = 3/4
To solve this equation, we cross multiply:
4(x - 3) = 3(x - 1)
Expanding both sides:
4x - 12 = 3x - 3
Combine like terms:
4x - 3x = 12 - 3
x = 9
Now we can find the denominator:
x + 2 = 9 + 2 = 11
So, the fraction is 9/11.
n = numerator
d = denominator
n = d - 2
( n - 3 ) / ( d - 3 ) = 3 / 4
( d - 2 - 3 ) / ( d - 3 ) = 3 / 4
( d - 5 ) / ( d - 3 ) = 3 / 4 Multiply both sides by 4
4 ( d - 5 ) / ( d - 3 ) = ( 3 / 4 ) *4
4 ( d - 5 ) / ( d - 3 ) = 3 Multiply both sides by ( d - 3 )
4 ( d - 5 ) ( d - 3 ) / ( d - 3 ) = 3 ( d - 3 )
4 ( d - 5 ) = 3 ( d - 3 )
4 d - 20 = 3 d - 9 Subtract 3 d to both sides
4 d - 20 - 3 d = 3 d - 9 - 3 d
d - 20 = - 9 Add 20 to both sides
d - 20 + 20 = - 9 + 20
d = 11
n = d - 2 = 9
Numerator = 9
Denumerator = 11