Question

1) (7 7/12 - 1 17/36) *2,7-4 1 3 :0,65;2) 8/15 *0, 5625 - (11/24 + 1 13/36) * 1 ,44.​

Answer 1

Объяснение:

надеюсь понятно написал

Answer 2

Let's break down each of these mathematical expressions step by step:

1. (7 7/12 - 1 17/36) * 2.7 - 4 1 3 / 0.65:

First, let's simplify the fractions:

7 7/12 = 7 + 7/12 1 17/36 = 1 + 17/36

Now, subtract the second term from the first term:

(7 + 7/12) - (1 + 17/36) = 7 - 1 + 7/12 - 17/36

Now, calculate the subtraction:

6 + (7/12 - 17/36)

To subtract these fractions, we need a common denominator, which is 36:

(636/36) + (7/123/3) - (17/36)

Now, the fractions have a common denominator:

(216/36) + (21/36) - (17/36)

Combine the fractions:

(216 + 21 - 17) / 36

Now, calculate the numerator:

220 / 36

Now, divide the numerator by the denominator:

220 / 36 = 5 5/9

Now, let's continue with the original expression:

(5 5/9) * 2.7 - 4 1 3 / 0.65

Multiply 5 5/9 by 2.7:

(5 5/9) * 2.7 = 15 + 5/3

Now, add the fractions:

15 + 5/3 = 45/3 + 5/3 = 50/3

Now, divide 4 1 3 by 0.65:

4 1 3 = 4 + 1/3

Now, convert 0.65 to a fraction:

0.65 = 65/100 = 13/20

Now, divide 4 1 3 by 13/20:

(4 + 1/3) / (13/20)

To divide by a fraction, you can multiply by its reciprocal:

(4 + 1/3) * (20/13)

Now, calculate the multiplication:

[(4 * 20) / 13] + [(1/3) * (20/13)]

(80/13) + (20/39)

To add these fractions, find a common denominator, which is 39:

[(80/13) * 3/3] + (20/39)

Now, the fractions have a common denominator:

(240/39) + (20/39)

Combine the fractions:

(240 + 20) / 39 = 260 / 39

Now, let's put it all together:

(50/3) - (260/39)

To subtract these fractions, find a common denominator, which is 39:

[(50/3) * 13/13] - (260/39)

Now, the fractions have a common denominator:

(650/39) - (260/39)

Now, subtract the fractions:

(650 - 260) / 39 = 390/39 = 10

So, the answer to the first expression is 10.

2. 8/15 * 0.5625 - (11/24 + 1 13/36) * 1.44:

Let's start with the first part:

8/15 * 0.5625 = (8 * 0.5625) / 15 = 4.5 / 15 = 0.3

Now, let's simplify the second part:

11/24 + 1 13/36 = 11/24 + (1 + 13/36)

To add these fractions, find a common denominator, which is 36:

(11/24) + (36/36 + 13/36)

Now, the fractions have a common denominator:

(11/24) + (49/36)

Now, add the fractions:

(11/24) + (49/36) = (11/24) + (4/36 * 49/4)

(11/24) + (49/9)

To add these fractions, find a common denominator, which is 24:

(11/24 * 3/3) + (49/9 * 8/8)

Now, the fractions have a common denominator:

(33/72) + (392/72)

Now, add the fractions:

(33 + 392) / 72 = 425/72

Now, let's continue with the original expression:

0.3 - (425/72) * 1.44

Multiply 425/72 by 1.44:

(425/72) * 1.44 = (425 * 1.44) / 72 = 612/72

Now, subtract 0.3 from 612/72:

(612/72) - (0.3 * 72/72)

(612/72) - (21.6/72)

To subtract these fractions, find a common denominator, which is 72:

(612/72) - (21.6/72)

Now, subtract the fractions:

(612 - 21.6) / 72 = 590.4/72

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:

(590.4/4) / (72/4)

147.6/18

Now, simplify the fraction further by dividing both the numerator and denominator by 18:

(147.6/18) / (18/18)

8.2

So, the answer to the second expression is 8.2.