Question

(12 5/8 - x 5 1/3 : 3 1/5)+ 5,1:1,7​

Answer 1

Ответ:

Пошаговое объяснение:

(12 * 5/8  - 5 * 1/3 : 3*1/5) + 5,1:1,7 =

(12* 5/8 -  16/3 / 16/5) + 5,1 : 1,7 = (12 * 5/8 - 5/3) + 3 = ( 12 * 15/24 - 40/24)  + 3 =

(303/24 - 40/24) + 3 = 263/24 + 3 = 263/24 + 72/24 = 335/24

Answer 2

To simplify the given expression, let's start by converting the mixed numbers into improper fractions:

12 5/8 = (12 * 8 + 5) / 8 = 101 / 8 5 1/3 = (5 * 3 + 1) / 3 = 16 / 3 3 1/5 = (3 * 5 + 1) / 5 = 16 / 5

Now, let's substitute these values into the expression:

(101/8 - x 16/3 : 16/5) + 5.1 / 1.7

To divide fractions, we invert the second fraction and multiply:

(101/8 - x) * (3/16) * (5/16) + 5.1 / 1.7

Now, let's simplify this expression step by step:

(101/8 - x) * (3/16) * (5/16) + 5.1 / 1.7 = (101/8 - x) * (3/16) * (5/16) + 3

Now, let's simplify the first part of the expression:

(101/8 - x) * (3/16) * (5/16) = (101 * 3 * 5) / (8 * 16 * 16) - (x * 3 * 5) / (16 * 16) = 1515 / 2048 - (15x) / 256

Now, substituting this value back into the expression:

(1515 / 2048 - (15x) / 256) + 3

To add fractions, we need to find a common denominator:

(1515 / 2048 - (15x) / 256) + 3 = (1515 * 256 / 2048 - (15x) / 256) + 3 = (387840 / 2048 - (15x) / 256) + 3 = (387840 - 15x) / 2048 + 3

Now, let's simplify further:

(387840 - 15x) / 2048 + 3 = (387840 - 15x + 3 * 2048) / 2048 = (387840 - 15x + 6144) / 2048 = (394984 - 15x) / 2048

So, the simplified expression is (394984 - 15x) / 2048.