Jai Sai Master!

Usually, kids are taught to 'cross multiply' when two fractions are equated to one another.. that is : if a/b = c/d , cross multiply and you would get ac = bd; which is fair enough. Its taught in a kind of rote way. But there is a better way to teach it, a more palatable logical way, where we explain the logic behind the cross multiplication.

Let me illustrate by example.

say (2x-3)/(x-1) = 1.

By cross multiplication, we would get (2x-3) = (x-1). {cross multiplying with 1/1 on the right side}.

This is how it usually is taught. But a better way is to explain to the kid by an example. Ask the kid regarding when the result is 1 in a division. That is, ask, while explaining that 10/10 is 1. Explain verbally, for instance, "if there are 10 apples with me, and i have to divide them equally to 10 students, how many will each get?". The answer would be 1 each. Then ask " how many students are there if I have to distribute 20 apples and each should get only 1?" The kid will think and answer "20". If not, suggest it with explanation.

Then explain that when the numerator and denominator are equal, then only will the division will have the result of "1". And so, if (2x-3)/(x-1) is given as 1, it means, (2x-3) must be equal to (x-1).

Explaining maths, algebra and geometry this way, makes it very interesting, challenging and engaging to kids. Hope this gives some food for thought.

Jai Sai Master!!