In January 2025
Answer to Question #138642 in Algebra for Angelica
2/3 of an hour -How much time Jose spend on hw on Monday
3/4 of an hour -How much time Jose spend on hw on Tuesday
2/5 of an hour -How much time Jose spend on hw on Wednesday
(2/3)+(3/4)+(2/5)=(2/3)*(20/20)+(3/4)*(15/15)+(2/5)*(12/12)=(40+45+24)/60=109/60(hours) or 109 minutes Jose spend to complete his homework altogether
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Comments
Dear Wendie learez. The least common multiple of denominators 3, 4, 5 is 60. If 60 is divided by 3, then the quotient will be 20. In order to keep the term unchanged one multiplies the term 2/3 by 20 and divides the term 2/3 by 20. Thus, the multiplier 20/20 appeared for this reason. A product of each pair of denominators for each term will give 60, the number 60 will be the common denominator of a term. The numerators in each product are multiplied, these products of numerators are summed up further.
Where does 20/20,15/15,12/12 came from
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