Question

ASAP !


`2 (3)/(6) - (1)/(3)`

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Answer 1

The mathematical expression to be evaluated is:

`2 (3)/(6) - (1)/(3)`

To simplify the expression, we first convert the mixed fraction to an improper fraction:

`2 (3)/(6) = ((2 * 6) + 3)/(6) = (15)/(6)`

Substituting this value back into the original expression, we get:

`2 (3)/(6) - (1)/(3) = (15)/(6) - (1)/(3)`

Now we need to find a common denominator for the two fractions:

`(15)/(6) - (1)/(3) = (15)/(6) * (2)/(2) - (1)/(3) * (2)/(2) = (30)/(12) - (2)/(6)`

We can simplify the second fraction:

`(30)/(12) - (2)/(6) = (30)/(12) - (4)/(12) = (26)/(12)`

Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:

`(26)/(12) = (13)/(6)`

Therefore, the simplified value of the mathematical expression is:

`2 (3)/(6) - (1)/(3) = (13)/(6)`

Answer 2

`2(1)/(6)`

Explanation:

First, write the fractions as improper fractions.

`\sf2(3)/(6) -(1)/(3) \\\\\sf(15)/(6) -(1)/(3)`

To, subtract the fractions make the denominators the same.

For that, multiply both sides of 1/3 by 2.

`\sf(15)/(6) -(1*2)/(3*2) \\\\\sf(15)/(6) -(2)/(6)`

Subtract.

`(13)/(6)`

Write it as a mixed number.

`2(1)/(6)`