You can solve this by cross multiplying the two fractions. a / 5/8 = 3/5 / 2/3 2/3 *a = 3/5 * 5/8 2a/3 = 15/40 Multiply the 3 from the left side's denominator into the right side's numerator. 2a= 45/40 Divide both sides by 2 a= 45/80 Simplify a = 9/16
