Question
14 L'hôpital se modernise ! On a décidé de numériser les dossiers papier des patients. On pourra désormais consulter les dossiers à l'ordinateur plutôt que dans les classeurs. Au cours de la première semaine, on numérise 50% des dossiers. Au cours de la 2^e semaine, on numérise (1)/(3) des dossiers restants Quelle fraction irréductible représente les dossiers quil reste encore à numériser par rapport à l'ensemble des dossiers?
Solution
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(200 Votes)
Arnold
Elite · Tutor for 8 years
Answer
### The fraction of dossiers that remains to be digitized is
.
Explanation
## Step 1: Calculate the fraction of dossiers digitized in the first week### Initially,
of the dossiers are digitized. This corresponds to
. Therefore, half of the dossiers remain after the first week.## Step 2: Calculate the fraction of dossiers digitized in the second week### In the second week,
of the remaining dossiers (
) are digitized. The fraction digitized is
.## Step 3: Determine the fraction of dossiers still not digitized### After two weeks, the total fraction digitized is
. To add these fractions, find a common denominator:
Simplify
to
. Thus,
of the dossiers have been digitized, leaving
of the dossiers still not digitized.