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6 1/4 (x− 2/3 )=9 3/8 please help SOON

2 Answers

1 vote
The answer in improper fraction is 35/12 or in mixed number it’s in 2 11/12
User Dolly Aswin
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4 votes

Answer:

x = 2 1/6

Explanation:

6 1/4 (x− 2/3 )=9 3/8

Change the mixed numbers to improper fractions

6 1/4 = (4*6+1) / 4 = 25/4

9 3/8 = (8*9 +3) /8 = 75/8

25/4 (x-2/3) = 75/8

Multiply each side by 4/25

4/25*25/4 (x-2/3) = 75/8 *4/25

x-2/3 = 75/25 *4/8

x-2/3 = 3 *1/2

x-2/3 = 3/2

Add 2/3 to each side

x-2/3 +2/3 = 3/2 +2/3

x= 3/2 +2/3

Get a common denominator of 6

x = 3/2 *3/3 + 2/3 *2/2

x = 9/6 + 4/6

x = 13/6

6 goes into 13 2 times with 1 left over

x = 2 1/6

User Marcelo Mason
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