Jason drove 8 4/5 miles to a subway station. He then 15 /6 miles by taxi to attend a meeting. How many total miles did he travel?

Option A: (23 + 29/30) miles

Step-by-step explanation:

Here we just need to add two mixed numbers.

(8 + 4/5) miles and (15 + 1/6) miles.

To add these, we just separate between the whole part and the fraction part:

(8 + 4/5) miles + (15 + 1/6) miles

= (8 + 4/5 + 15 + 1/6) miles

= (8 + 15 + 4/5 + 1/6) miles

= (23 + 4/5 + 1/6) miles

Now we need to find a common multiple between 6 and 5.

So, only analyzing the fraction part of the sum, we can rewrite:

4/5 + 1/6

= 4/5*(6/6) + 1/6*(5/5)

(notice that we are multiplying both numbers by one, so we do not change the expression's value)

= (4*6)/(5*6) + (1*5)/(6*5)

= 24/30 + 5/30

So now both fractions have the same denominator.

Then, replacing that in the sum equation we get:

(23 + 4/5 + 1/6) miles =  (23 + 24/30 + 5/30) miles

= (23 + 29/30) miles

Then the correct option is option A.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

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step-by-step explanation:

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