How do you solve # 2/3 + 2k/4=71/12#?

Answer 1

#color(blue)(k=13#

#2/3 + 2k/4 = 71/12#

resolving the mixed fraction

#2/3 + (2*4 +k)/4 = 71/12#
#2/3 + (8 +k)/4 = 71/12#
The L.C.M of this expression is #12#
#(2*4)/(3*4) + ((8 +k)*3)/(4*3) = 71/12#
#(8)/(cancel12) + (24+3k)/cancel(12) = 71/cancel12#
#8+24+3k=71#
#32+3k=71#
#3k=71-32#
#3k=39#
#color(blue)(k=13#
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Answer 2

To solve the equation 2/3 + 2k/4 = 71/12, follow these steps:

  1. Multiply all terms by the least common denominator (LCD), which is 12.
  2. Simplify the equation by distributing the LCD.
  3. Combine like terms and isolate the variable, k.
  4. Solve for k.

Here are the steps in detail:

  1. Multiply all terms by 12: 12 * (2/3) + 12 * (2k/4) = 12 * (71/12)

  2. Simplify: 8 + 6k = 71

  3. Subtract 8 from both sides: 6k = 63

  4. Divide both sides by 6: k = 63/6 k = 10.5

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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