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lukranit [14]
3 years ago
5

Allen practiced the guitar 1 1/4 hours today he practiced 2/3 of an hour before lunch.how long did he practice after lunch

Mathematics
1 answer:
avanturin [10]3 years ago
6 0

Answer:

The answer is 35.

Step-by-step explanation:

1 and 1/4 hours total.  2/3 was performed before lunch. You need to find how long he practiced after lunch. So first you need to find a common denominator (CD) because the denominators aren't the same. When you find the CD for 1 and 1/4 you need to make it an improper fraction (IF) because it's a mixed number. When you do that you get 5 multiplied by 3 and then 4 multiplied by 3 doing this is helping you find the CD of 5/4 which happens to equal 15/12. Next you do the same for 2/3 but this time you multiply 2 by 4 and then 3 by 4 and in this case 2/3 now equals 8/12. Now you can work with finding how much Allen performed after lunch. To find this you need to subtract 15/12-8/12 to find how long he performed after lunch when you do that you get 7/12 hours which is equal to 35 minutes.

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\frac{2x}{5} + 1 =  \frac{1}{15}

---------------------------------------------------------
Take away 1 from both sides
---------------------------------------------------------
\frac{2x}{5}  =  \frac{1}{15} - 1

---------------------------------------------------------
Evaluate the value on the right
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\frac{2x}{5}  = - \frac{14}{15}

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Multiply by 15 on both side
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 \frac{2x}{5} \times 15 = - \frac{14}{15}  \times 15

---------------------------------------------------------
Evaluate 
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