Question

|- 3 3/9| - |-2 1/6|

Answer 1

Ответ:

Пошаговое объяснение:

$\displaystyle \[\left|{-3\frac{3}{9}}\right|-\left|{-2\frac{1}{6}}\right|=3\frac{3}{9}-2\frac{1}{6}=3\frac{1}{3}-2\frac{1}{6}=3\frac{2}{6}-2\frac{1}{6}=\boxed{1\frac{1}{6}}\]$

Answer 2

To simplify the expression, let's first convert the mixed numbers into improper fractions:

|- 3 3/9| = |- 3 + 3/9| = |- 3 + 1/3| = |- 10/3|

|-2 1/6| = |-2 + 1/6| = |-2 + 1/6| = |-12/6 + 1/6| = |-11/6|

Now, the absolute value of a fraction is just the positive value of that fraction, so we have:

|- 10/3| = 10/3

|-11/6| = 11/6

Therefore, the simplified expression is:

|- 3 3/9| - |-2 1/6| = 10/3 - 11/6

To subtract these two fractions, we need a common denominator, which is 6:

10/3 - 11/6 = (10/3)*(2/2) - 11/6 = 20/6 - 11/6 = (20 - 11)/6 = 9/6

Now, 9/6 can be further simplified by dividing the numerator and denominator by their greatest common divisor, which is 3:

9/6 = (9/3)/(6/3) = 3/2

So, the final result of the expression is:

|- 3 3/9| - |-2 1/6| = 3/2