Fractions are integers that have both a numerator and a denominator. They are represented as; [tex]\frac{x}{y}[/tex]
Where:
x = Numerator
y = Denominator.
To solve the above question, we would be applying the operations of the addition of fractions.
It will take both of them [tex]27\frac{3}{11}[/tex] hours if they worked together.
From the question,
Nyesha takes 50 hours a week to render services to her customers.
Shantese takes 60 hours a week to do the same amount of work.
Let us represent the number of hours it will take them both to decorate the room working together as "T"
Hence,
1/T = 1/50 + 1/60
Lowest Common Denominator for (50, 60 ) = 300
Hence,
1/T = 6 + 5 / 300
1/T = 11/300
Find the reciprocal of both sides
T = 300/11 hours
T = [tex]27\frac{3}{11}[/tex] hours
Therefore, it will take them both of them [tex]27\frac{3}{11}[/tex] hours in they both work together.
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