Simplify 2(5/3+3/4)-4/3 a) 13/12 b) 11/4 c) 3 d) 7/2

Hello there!

Explanation:

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You had to used least common multiple of 6 and 3.

Prime factorization of 6: 1, 2, 3, 6

3*2=6

Prime factorization of 3: 1, 3

1*3=3

Then multiply by the number

3*2=6

You can also multiply by each numerator by the same amount needed to multiply its corresponding denominator to turn it into the least common multiple is 6.

Then you had to used 4/3 multiply by the denominator and numerator by 2.

Since the denominators are equal, it combine by the fractions.

Then you can subtract by the numbers.

You had to cancel by the common factor of 3.

Answer⇒⇒⇒⇒7/2

Hope this helps!

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Have a great day!

-Charlie

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.

step-by-step explanation:

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