Answer:
x/9 = 5/6
x/5 = 3/2
Step-by-step explanation:
6x = 45, since 5x9=45,
6x = (5)(9)
1. x/9
6x=(5)(9)
~divide both sides by 6
(6x)/6=[(5)(9)]/6
~6 cancels out in the left side
x=[(5)(9)]/6
~divide both sides by 9 to get a denominator of 9 in the left side. doing this will get 9 be multiplied to the denominator (6) of the right side, thus
x/9 = [(5)(9)]/[(6)(9)]
~9 cancels out on the right side and you are left with 5 in the numerator and 6 in the denominator
2. x/5
~same process as before but instead of dividing both sides by 9, divide both sides by 5 instead.
6x/6 = (5)(9) / 6
x = (5)(9) / 6
x/5 = (5)(9) / (6)(5)
~5 cancels out
x/5 = 9/6
~on the right side, both 9 and 6 are divisible by 3 so divide the top (numerator) and bottom (denominator) number by 3
x/5 = (9÷3)/(6÷3)
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Answers & Comments
Answer:
x/9 = 5/6
x/5 = 3/2
Step-by-step explanation:
6x = 45, since 5x9=45,
6x = (5)(9)
1. x/9
6x=(5)(9)
~divide both sides by 6
(6x)/6=[(5)(9)]/6
~6 cancels out in the left side
x=[(5)(9)]/6
~divide both sides by 9 to get a denominator of 9 in the left side. doing this will get 9 be multiplied to the denominator (6) of the right side, thus
x/9 = [(5)(9)]/[(6)(9)]
~9 cancels out on the right side and you are left with 5 in the numerator and 6 in the denominator
x/9 = 5/6
2. x/5
~same process as before but instead of dividing both sides by 9, divide both sides by 5 instead.
6x = (5)(9)
6x/6 = (5)(9) / 6
x = (5)(9) / 6
x/5 = (5)(9) / (6)(5)
~5 cancels out
x/5 = 9/6
~on the right side, both 9 and 6 are divisible by 3 so divide the top (numerator) and bottom (denominator) number by 3
x/5 = (9÷3)/(6÷3)
x/5 = 3/2