Arnie skates 1 3/4 miles to the lake, then goes 1 1/3 miles around the lake, and then back home. How many miles did he skate?
1 3/4 + 1 1/3 + 1 3/4 = ?
To find out how many miles Arnie skated, we need to add up the distances he traveled.
First, Arnie skated 1 3/4 miles to the lake.
Next, he skated 1 1/3 miles around the lake.
Finally, he skated back home, which means he covered the same distance as when he went to the lake.
To find the total distance, we can add the three distances together:
1 3/4 + 1 1/3 + 1 3/4 = ?
To add these fractions, we need to find a common denominator. The common denominator of 4 and 3 is 12.
1 3/4 can be rewritten as 7/4. Multiplying the numerator and denominator by 3, we get 21/12.
1 1/3 can be rewritten as 4/3. Multiplying the numerator and denominator by 4, we get 16/12.
Now our equation becomes:
21/12 + 16/12 + 21/12 = ?
Adding the numerators together, we get:
21 + 16 + 21 = 58
So, Arnie skated a total of 58/12 miles. This can also be simplified to 4 10/12 or 4 5/6 miles.