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To solve for a , we need to isolate the variable on one side of the equation.
Given equation: 2/5a = 4/15
To isolate a , we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2.
(5/2) * (2/5a) = (5/2) * (4/15)
1 * a = 10/30
a = 10/30
Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 10.
a = 1/3
Therefore, the solution is a = 1/3.