Question

2) (0,8 + 1/20) : (21 1/3 - 19 1/15) - 4,1=​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

=(4/5+1/20):(21 1/3-19 1/15)-4,1=17/20:2 4/15-41/40=-299/75
-299/75=-3 74/75.

Answer 3

To solve the expression, let's break it down step by step:

Step 1: Simplify the fractions and mixed numbers. 0,8 can be written as 8/10, which simplifies to 4/5. 21 1/3 can be written as an improper fraction: (3 * 21 + 1)/3 = 64/3. 19 1/15 can be written as an improper fraction: (15 * 19 + 1)/15 = 286/15.

So the expression becomes: (4/5 + 1/20) : (64/3 - 286/15) - 4.1

Step 2: Perform the arithmetic inside the parentheses. 64/3 - 286/15 can be simplified by finding a common denominator, which is 15: (15 * 64)/3 - 286/15 = 960/3 - 286/15 = 320 - 286/15 = (320 * 15 - 286)/15 = 4734/15.

So the expression becomes: (4/5 + 1/20) : (4734/15) - 4.1

Step 3: Perform the addition and subtraction inside the parentheses. 4/5 + 1/20 can be simplified by finding a common denominator, which is 20: (20 * 4)/5 + 1/20 = 80/5 + 1/20 = 16 + 1/20 = (16 * 20 + 1)/20 = 321/20.

So the expression becomes: (321/20) : (4734/15) - 4.1

Step 4: Divide by a fraction by multiplying by its reciprocal. To divide by a fraction, we multiply by its reciprocal. So (321/20) : (4734/15) can be rewritten as (321/20) * (15/4734).

So the expression becomes: (321/20) * (15/4734) - 4.1

Step 5: Perform the multiplication. (321/20) * (15/4734) can be simplified by canceling common factors: (107 * 3)/(2 * 10) * (3 * 5)/(1578 * 3) = 321/20 * 1/26 = 321/520.

So the expression becomes: 321/520 - 4.1

Step 6: Convert the whole number to a fraction. 4.1 can be written as 4 + 1/10 = 40/10 + 1/10 = 41/10.

So the expression becomes: 321/520 - 41/10

Step 7: Find a common denominator and subtract. The common denominator for 520 and 10 is 520. (321/520) - (41/10) can be rewritten with a common denominator: (321 * 10)/(520 * 10) - (41 * 52)/(10 * 52) = 3210/5200 - 2132/5200 = (3210 - 2132)/5200 = 1078/5200.

So the final result is: 1078/5200