Q:William practiced guitar 1 1/3 hours on monday and 5/6 hour on tuesday. How many total hours did he practice?
A: A) 1 1/2
B) 1 2/3
C) 2 1/3
D) 2 1/6
1 1/3 = 1 2/6
1 2/6 + 5/6 = ?
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To find the total hours that William practiced, we need to add up the hours he practiced on Monday and Tuesday.
On Monday, he practiced 1 1/3 hours.
On Tuesday, he practiced 5/6 hour.
To add these two fractions, we need to convert them to have the same denominator. The least common denominator for 3 and 6 is 6.
1 1/3 written as a fraction with a denominator of 6 is 2/6.
5/6 remains the same.
Now, let's add the fractions:
2/6 + 5/6 = 7/6
Since 7/6 is an improper fraction, we need to convert it to a mixed number by dividing the numerator (7) by the denominator (6):
7 รท 6 = 1 remainder 1
So, the mixed number is 1 1/6.
Therefore, the total hours William practiced is 1 1/6 hours.
Among the answer choices provided:
A) 1 1/2 is less than 1 1/6
B) 1 2/3 is greater than 1 1/6
C) 2 1/3 is greater than 1 1/6
D) 2 1/6 is equal to 1 1/6
Therefore, the correct answer is option D) 2 1/6.