Multiply fractions?

I'm currently learning how to multiply fractions, but I don't understand anything. Why do they delete something from the fraction? Can someone explain this to me?

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ohwehohach
3 months ago

This is called shorts: my shares counter and denominator through the same (!!) Number.

In this case, it ensures that the numbers to be multiplied become smaller (or, as in the examples, almost nothing is left to do). It makes it easier.

However, you don’t have to do this already in the course of the invoice – you can also just count counters * counters and denominators * denominator, but normally it is required that the result is completely shortened at the end.

Wechselfreund
3 months ago

Example: 1/2 is certainly the same as 10/20.

If the counter and the denominator are divided by the same number (here 10), the value of the breakage is not changed.

Shortening is the opposite of expanding.

Perso2024
3 months ago

It’s called shorts.

The denominator and counter are divided by the same number, which does not change the value.

minimax11
3 months ago

This is called: shorten…

If you’re 10 divided by 2 rec., you’ll get 5 out. The principle can be applied to multipliers. It doesn’t matter that the multiplier is a break.

Tannibi
3 months ago

It’s called “shorting.” The same is found in 7 and 28.
Factor, namely 7. When breaking counters and denominators
divided by the same value (here 7), the value of the breakage remains
equal.

Shorting is not necessary, but usual and in school
usually required.

Wechselfreund
3 months ago
Reply to  Tannibi

… and sensible to keep the computational effort low.