An electrical company decides to replace the lightbulbs in all of the nonworking street lights on two specific streets. The company learns that 2/3 of the lights do not work on the first street and 1/6 of the lights do not work on the second street. What is the total fractional portion of the nonworking lights on these two streets?(1 point)
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On the first street, 2/3 of the lights do not work. This means that 1 - 2/3 = 1/3 of the lights do work.
On the second street, 1/6 of the lights do not work. This means that 1 - 1/6 = 5/6 of the lights do work.
To find the total fractional portion of the nonworking lights on these two streets, we add the fractional portions that do not work on each street: 2/3 + 1/6 = 4/6 + 1/6 = 5/6
Thus, the total fractional portion of the nonworking lights on these two streets is 5/6. Answer: \boxed{\dfrac{5}{6}}
To find the total fractional portion of the nonworking lights on these two streets, we need to add the fractional portions of the nonworking lights on each street.
On the first street, 2/3 of the lights do not work.
On the second street, 1/6 of the lights do not work.
Adding these fractions together, we get:
2/3 + 1/6
To add these fractions, we need to find a common denominator. The smallest common multiple of 3 and 6 is 6.
Converting 2/3 to have a denominator of 6, we get:
(2/3) * (2/2) = 4/6
So, the fraction of nonworking lights on the first street is 4/6.
Converting 1/6 to have a denominator of 6, we get:
(1/6) * (1/1) = 1/6
So, the fraction of nonworking lights on the second street is 1/6.
Adding these two fractions together, we get:
4/6 + 1/6 = 5/6
Therefore, the total fractional portion of the nonworking lights on these two streets is 5/6.
To find the total fractional portion of the nonworking lights on the two streets, we need to add together the fractions of nonworking lights on each street.
Let's start with the first street, where 2/3 of the lights do not work. This means that 2 out of every 3 lights do not work.
Next, let's move to the second street, where 1/6 of the lights do not work. This means that 1 out of every 6 lights do not work.
To find the total fractional portion of the nonworking lights on both streets, we need to add the fractions together. Since the denominators are different, we need to find a common denominator.
The least common multiple (LCM) of 3 and 6 is 6. We can rewrite 2/3 as 4/6 (multiplying the numerator and denominator by 2) and 1/6 as 1/6.
Now that we have the same denominator, we can add the fractions:
4/6 + 1/6 = 5/6
So the total fractional portion of the nonworking lights on both streets is 5/6.