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Answer:
4/5
Step-by-step explanation:
We are given that 1/2 of the houses in Bridget's neighborhood are white, and 3/10 are teal.
We are solving for the total fraction of houses that are either white or teal. To do this, we have to add the given fractions.
To add fractions, we must find a common denominator. Listing out the prime factorizations of the denominators, we get:
2: 1, 2
10: 1, 2, 5
To get a common denominator, we multiply the greatest amount of each distinct prime factor that appears in both lists. In this case, the greatest amount of each distinct number is 1, so we multiply together:
1 × 2 × 5 = 10
So, 10 is our common denominator.
Since one of our fractions (3/10) already has 10 as a denominator, we can leave it unchanged. The other one (1/2), we can multiply by 5/5 to get it to a denominator of 10:
[tex]\dfrac{1}{2} \times \dfrac{5}{5} = \dfrac{5}{10}[/tex]
Finally, we can execute the addition:
[tex]\dfrac{5}{10} + \dfrac{3}{10} = \dfrac{8}{10}[/tex]
And, this fraction can be reduced by dividing by 2/2:
[tex]\dfrac{8}{10} \div \dfrac{2}{2} = \boxed{\dfrac{4}{5}}[/tex]
So, 4/5 of the houses in Bridget's neighborhood are either white or teal.
Further Note
Multiplying or dividing a fraction by any number divided by itself, like 2/2 or 5/5, does not change the fraction's value because these fractions are equivalent to 1. It's like how multiplying or dividing any number by 1 gives the original number.