John ran 5/6 of a mile and then ran an additional 2/3 of a mile. How far did he run intotal?
Question
John ran 5/6 of a mile and then ran an additional 2/3 of a mile. How far did he run in total?
Solution
To find out how far John ran in total, we need to add the distances he ran each time.
First, he ran 5/6 of a mile. Then, he ran an additional 2/3 of a mile.
To add these fractions, we need to find a common denominator. The least common denominator of 6 and 3 is 6.
So, we rewrite 2/3 as 4/6.
Now, we can add the fractions:
5/6 + 4/6 = 9/6
But 9/6 is an improper fraction. To convert it to a mixed number, we divide the numerator by the denominator:
9 ÷ 6 = 1 remainder 3
So, 9/6 = 1 3/6
But 3/6 can be simplified to 1/2 by dividing both the numerator and denominator by 3.
So, John ran 1 1/2 miles in total.
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