Respuesta :

An algorithm is the series of steps followed to do calculations especially by a computer.

[tex]\frac{1}{4}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{2}{12}[/tex]  =[tex]\frac{1}{6}[/tex]

The algorithm would use the multiplication of the numerator with the numerator and the denominator with the denominator for solving simple multiplication of the proper fractions.

[tex]\frac{1}{4}[/tex] × [tex]\frac{2}{3}[/tex]

= (1×2)/(4×3)  ⇒ the numerators are multiplied and so the denominators

= 2/12

Now 2 is taken as common from both 2 and 12 ( numerator and denominator)

= (2/2 ) 1/6   taking 2 as common factor

= 1/6         cancelling 2 by 2

The diagram can be used to explain the same fact.

1 is multiplied with 2 and 4 is multiplied with 3.

Therefore we get 2 as numerator and 12 as denominator.

2/12 is further reduced to 1/6

For further elaboration click:

https://brainly.com/question/15269932

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