math explorer wrote:
A general tip to be successful in math is to develop alternative ways of solving problems. A good example of this, even at the level of basic math, is to solve the following problem:
x/4 = 6/12
For the starting step, I explained you can either multiply both sides of the equation by 12 (to clear out the denominators) or you can cross multiply, .....
Hmmm....to me, 1st step here is : x/4 = 1/2
Btw, I'm a FANatic cross multiplier
For my pupil, I wanted to cover methods that work all the time in solving algebraic problems of the sort just mentioned as not all fractions are reducible (while convenient, at her stage, reducing fractions in algebraic problems can be confusing or distracting since the method of reducing fractions would be extraneous, btw I did go over reducing fractions with her in other nonalgebraic problems).