Q1.if x+5/2 and x-1/4 are equivalent fractions, then find x
Answers
Explanation:
Given
Two equivalent fractions are given : x+5/2 & x-1/4
Since ,both fraction values are equivalent so ,they must be equal to each other.
Now, let x+5/2 be the fraction LHS
and x-1/4 be the fraction RHS
Solving and equating both fractional values
➙x+5/2= x-1/4
Cross multiply to both sides
➙4(x+5)= 2(x-1)
➙4x+20= 2x-2
making like terms
➙4x-2x= -2-20
➙2x= -22
➙x= -11
Now, we find x = -11
Check:-
➙x+5/2= x-1/4
➙-11+5/2= -11-1/4
➙-6/2= -12/4
➙-3=-3
Since,both fractional values are same hence,it's a equivalent fractions.
Know More:
Equivalent fractions: equivalent fractions are those fractional values which having different numerators and denominators but their ratios and proportion are same.
Explanation:
x+5/2=x-1/4
By cross multiplication
4(x+5)=2(x-1)
4x+20=2x-2
4x-2x= -2-20
2x= -22
x= -22/2
x= -11