Question

(-14 2/3+17,3)÷23,7-(4 1/5-6/12)•(-7,015+7,14)=

Answer 1

Ответ:

-253/720

Пошаговое объяснение:

(-44/3+17,3) делим 23,7 - (4 1/5- 6/12) • (-7,015+7,14)

(-44/3+173/10) делим 273/10 - (21/5-6/12) • 0,125

79/30 делим 237/10 - (21/5-6/12)• 0,125

79/30 • 10/237 - 37/10 • 1/8

(79 и 237 сокращаются на 79)

1/30 • 10/3 - 37/10 • 1/8

1/3 • 1/3 - 37/80

1/9 - 37/80

-253/720

Answer 2

Let's break down the expression step by step:

1. Start with the addition inside the parentheses: -14 2/3 + 17.3 = -14 2/3 + 17 9/10 = -14 20/30 + 17 27/30 = 2 7/30

2. Now divide by 23.7: (2 7/30) ÷ 23.7 = (2 7/30) ÷ 23 7/10 = (2 7/30) ÷ 23 21/30

To divide a fraction by another fraction, you can multiply by its reciprocal: (2 7/30) * (30/23 21/30)

3. Simplify the multiplication: (2 7/30) * (30/23 21/30) = (2 7/30) * (30/23) * (30/30) + (2 7/30) * (21/30) = (60/23) + (49/30)

4. Now we have two fractions to subtract. To do that, we need to find a common denominator, which is the least common multiple (LCM) of 23 and 30, which is 690.

   (60/23) = (60/23) * (30/30) = (1800/690) (49/30) = (49/30) * (23/23) = (1127/690)

5. Subtract the fractions: (1800/690) - (1127/690) = (1800 - 1127)/690 = 673/690

6. Now, let's move on to the second part of the expression:

   -14 2/3 - 4 1/5 + 6/12 = -14 10/15 - 4 3/15 + 6/12 = -14 10/15 - 4 3/15 + 1/2 (since 6/12 is equivalent to 1/2)

7. Combine the whole numbers and fractions: (-14 - 4) + (-10/15 - 3/15) + 1/2 = -18 - 13/15 + 1/2

8. To add these fractions, we need to find a common denominator, which is 30 in this case:

   (-18 - 13/15) + 1/2 = (-18 - 26/30) + 15/30

9. Now subtract the fractions and add the whole numbers:

   (-44/30) + (15/30) = -29/30

Now, we can calculate the final result by subtracting the result from step 9 from the result in step 5:

(673/690) - (-29/30)

To subtract these fractions, we need a common denominator, which is the LCM of 690 and 30, which is 690.

(673/690) + (29/30) * (23/23) = (673/690) + (667/690)

Now, add the fractions:

(673/690) + (667/690) = 1340/690

Simplify the fraction:

1340/690 = 20/10 = 2

So, the final result of the expression is 2.