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
