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Subtract the following mixed numbers. 7(1)/(6)-6(7)/(36)

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Final answer:

To subtract mixed numbers, convert them to improper fractions, find a common denominator, subtract the numerators, and simplify the fraction.

Step-by-step explanation:

To subtract mixed numbers, we need to have a common denominator. In this case, the common denominator is 6. So, let's convert the mixed numbers to improper fractions:

7(1)/(6) = 43/6

6(7)/(36) = 223/36

Now, subtract the fractions:

43/6 - 223/36

To subtract fractions, we need to have the same denominator. Since 6 is already common, we can subtract the numerators:

43 - 223 = -180

So, the answer is -180/36. We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 36:

-180/36 = -5

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