X-5/6=2/13解方程?

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jakesongao
2023-07-04 · TA获得超过158个赞
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To solve the equation X-5/6 = 2/13, we can start by getting rid of the fraction by multiplying both sides of the equation by the denominators.

First, multiply 5/6 by the reciprocal of 6, which is 6/5.

(5/6) * (6/5) * (X-5/6) = (5/6) * (6/5) * (2/13)

This simplifies to:

X - 5/6 = 12/65

Next, add 5/6 to both sides of the equation to isolate X:

X - 5/6 + 5/6 = 12/65 + 5/6

This simplifies to:

X = (12/65) + (5/6)

To add these fractions with different denominators, we need to find a common denominator.

The common denominator is 65 * 6 = 390.

(X * 390/390) = (12/65) * (6/6) + (5/6) * (65/65)

This simplifies to:

390X/390 = 72/390 + 325/390

Now, add the fractions on the right side of the equation:

390X/390 = 397/390

To solve for X, divide both sides of the equation by 390:

(390X/390) / (390/390) = (397/390) / (390/390)

This simplifies to:

X = 397/390

Therefore, the solution to the equation X-5/6 = 2/13 is X = 397/390.
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解:
x-5/6=2/13
x=2/13+5/6
x=12/78+65/78
x=77/78
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tllau38
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x-5/6=2/13

x-5/6 +5/6=2/13 +5/6
x= 95/78
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