Question

1/2-4/45+4= (4/5-11/15)*5/11= 1 1/45:(8/25+3/5)= 1/4+3/8*1 2/3= 12-3 3/5:24/25=

Answer 1

Ответ:

1) 4,41

2)0,03

3)1,11

4)0,875

5)5,625

Пошаговое объяснение:

Answer 2

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

1. (1/2 - 4/45) + 4: To add these fractions, you need a common denominator, which is 90 in this case. (45/90 - 8/90) + 4/1 (37/90) + 4

   To add these, you also need a common denominator, which is 90. (37/90) + (360/90) (37/90) + (360/90) = (37 + 360) / 90 = 397/90

2. (4/5 - 11/15) * (5/11): To subtract these fractions, you need a common denominator, which is 15 in this case. (12/15 - 11/15) * (5/11) (1/15) * (5/11) = 5/165 = 1/33

3. 1 1/45 ÷ (8/25 + 3/5): Convert the mixed number to an improper fraction: (46/45) ÷ (8/25 + 15/25) (46/45) ÷ (23/25)

   To divide by a fraction, you multiply by its reciprocal: (46/45) * (25/23) (46 * 25) / (45 * 23) = 1150/1035

   Simplify the fraction: Divide both the numerator and denominator by their greatest common divisor (gcd), which is 115: (1150/115) / (1035/115) 10/9

4. 1/4 + 3/8 * 1 2/3: Convert the mixed number to an improper fraction: 1 2/3 = (3/3 + 2/3) = 5/3

   Now perform the calculations: 1/4 + 3/8 * 5/3

   To add the fractions, find a common denominator, which is 24 in this case. (6/24) + (9/24) = (6 + 9) / 24 = 15/24

   Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (gcd), which is 3: (15/3) / (24/3) = 5/8

5. 12 - 3 3/5 ÷ (24/25): Convert the mixed number to an improper fraction: 3 3/5 = (5/5 + 3/5) = 8/5

   Now perform the calculations: 12 - (8/5) ÷ (24/25)

   To divide by a fraction, you multiply by its reciprocal: 12 - (8/5) * (25/24)

   To simplify this further, you can find a common denominator, which is 120 in this case: (12 * 120/120) - (40/24) * (5/5)

   (1440/120) - (200/120)

   Now, subtract the fractions: (1440 - 200) / 120 = 1240/120

   Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (gcd), which is 40: (1240/40) / (120/40) = 31/3

So, the results are as follows:

1. (1/2 - 4/45) + 4 = 397/90
2. (4/5 - 11/15) * (5/11) = 1/33
3. 1 1/45 ÷ (8/25 + 3/5) = 10/9
4. 1/4 + 3/8 * 1 2/3 = 5/8
5. 12 - 3 3/5 ÷ (24/25) = 31/3