Jill walked #8 1/8# miles to a park and then #7 2/5# miles home. How many miles did she walk in all?
Okay, I think the easiest way to approach this problem is to first convert the mixed fractions to irregular fractions:
We want the total number of miles, so our equation is:
The LCD of 5 and 8 is 5*8=40, so:
Hope this helps!
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She walked
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We can do this a couple of ways.
Improper fractions
Now we need to have the denominators be the same:
And now we divide it back out:
We can avoid the large numbers by adding the whole numbers first, then adding the fractions:
And now we add the fractions by finding a common denominator:
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To find out how many miles Jill walked in total, you simply add the distance she walked to the park and the distance she walked back home.
Distance walked to the park = 8 1/8 miles Distance walked home = 7 2/5 miles
To add these distances, you can convert the mixed numbers to improper fractions:
8 1/8 miles = 8 + 1/8 = 8 + 1/8 = 8 + 1/8 = 65/8 miles 7 2/5 miles = 7 + 2/5 = 7 + 2/5 = 7 + 2/5 = 37/5 miles
Now, add the distances:
65/8 miles + 37/5 miles = (65 * 5)/(8 * 5) + (37 * 8)/(5 * 8) = 325/40 + 296/40 = (325 + 296)/40 = 621/40 miles
So, Jill walked a total of 621/40 miles.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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