Question

(17 3/4-19 5/6)+(29-28 23/14)

Answer 1

Пошаговое объяснение:

(17 3/4-19 5/6)+(29-28 23/14)=

=(71/4-119/6)+(29-415/14)=

=((213-238)/12)+((406-415)/14)=

= - 25/12-9/14= - 175/84-54/84=

= - 229/84= - 2 61/84

Answer 2

Ответ:

$-2\frac{61}{84}$

Пошаговое объяснение:

$(17\frac{3}{4} -19\frac{5}{6} )+(29-28\frac{23}{14} )=(\frac{71}{4}-\frac{119}{6} )+(29-29\frac{9}{14} )=\frac{213-238}{12}-\frac{9}{14} =-\frac{25}{12} -\frac{9}{14} =-\frac{229}{84} =-2\frac{61}{84}$

Answer 3

To solve this expression, you can follow these steps:

1. First, subtract the mixed numbers within each set of parentheses.
2. Then, perform the addition of the two results.

Let's break it down:

Step 1: Solve within the first set of parentheses: 17 3/4 - 19 5/6

To subtract mixed numbers, you need to borrow from the whole number:

17 3/4 - 19 5/6 = (17 - 19) + (3/4 - 5/6)

First, subtract the whole numbers: -2

Now, find a common denominator for the fractions, which is 12:

(3/4) = (3/4) * (3/3) = 9/12 (5/6) = (5/6) * (2/2) = 10/12

Now, subtract the fractions: (9/12 - 10/12) = -1/12

So, 17 3/4 - 19 5/6 = -2 - 1/12

Step 2: Solve within the second set of parentheses: 29 - 28 23/14

To subtract the mixed numbers, you'll need to borrow from the whole number:

29 - 28 23/14 = (29 - 28) - (23/14)

First, subtract the whole numbers: 1

Now, subtract the fractions:

(23/14)

Step 3: Add the results from the two sets of parentheses:

(-2 - 1/12) + (1 - 23/14)

Now, add the two results:

(-2 - 1/12) + (1 - 23/14) = (-2 - 1/12) + (14/14 - 23/14)

Combine the fractions:

(-2 - 1/12) + (-9/14)

Now, find a common denominator, which is 168:

(-2 * 168/168 - 14/12 * 14/14) + (-9/14 * 12/12)

Now, perform the calculations:

(-336/168 - 196/168) + (-108/168)

Combine the fractions:

(-336 - 196 - 108) / 168 = (-640) / 168

Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 8:

(-80) / 21

So, the final result is:

-80/21