[tex]$y=\frac{3}{16} $[/tex]
Solution:
Given expression:
[tex]$12y=2\frac{1}{4} $[/tex]
To solve this and find the value of y.
Let us first convert the mixed fraction into improper fraction.
[tex]$2\frac{1}{4} =\frac{(2\times4)+1}{4}[/tex]
[tex]$ =\frac{8+1}{4}[/tex]
[tex]$2\frac{1}{4} =\frac{9}{4}[/tex]
Now, substitute this in the given expression.
[tex]$12y=\frac{9}{4} $[/tex]
Divide by 12 on both sides of the expression.
[tex]$\frac{12}{12}y=\frac{9}{4\times 12} $[/tex]
[tex]$y=\frac{9}{48} $[/tex]
To reduce this expression, divide by 3 on both numerator and denominator.
[tex]$y=\frac{9\div 3}{48\div 3} $[/tex]
[tex]$y=\frac{3}{16} $[/tex]
Hence the answer is [tex]y=\frac{3}{16}[/tex].
