Explanation:
so 2/3 OF the class are boys...
***REMEMBER IN MATHEMATICS, ^OF^ IS USED TO SAY MULTPLICATION***
so 2/3 OF class(x) are boys and there are 12 boys...
so 2/3 * x = 12
12 / (2/3) = x
to solve use the Keep, Change, Flip method
Keep 12, change / to multiplication, flip 2/3 to 3/2
it becomes 12 * 3/2 and to solve easier 12 is same thing as 12/1
12/1 * 3/2
Multiply across (numerator by numerator and denominator by denominator)
(12*3) / (1*2) = 36 / 2
Simplify
18
So the class has 18 students, and 2/3 of boys (12 of the students)
we can solve for how many girls are in the class
Depending on how your teacher wants to see the work:
either 18 - 12 = 6
or 1/3 * 18 which we rewrite as 1/3 * 18/1 = (1*18)/(3*1) which is 18/3... simplified it is 6
There are 6 girls in the class.
Hope this helps! :)