Question

(3 1/6-4 1/7) • (5 4/5-0,55) Даю 20б

Answer 1

(3 1/6-4 1/7) • (5 4/5-0,55)=-5,125

3 1/6-4 1/7=19/6-29/7=(19*7-29*6)/42=

=-41/42

5 4/5-0,55=5,8-0,55=5,25=5 1/4

-41/42*5 1/4=-41/42*21/4=(-41*21)/42*4=

=-41/8=-5,125

Answer 2

To solve the expression (3 1/6 - 4 1/7) * (5 4/5 - 0.55), we need to perform the operations step by step. Let's break it down:

Step 1: Calculate the values inside the parentheses.

• First, let's subtract the fractions inside the first parentheses: 3 1/6 - 4 1/7 = (19/6) - (29/7)

To find a common denominator, we take the least common multiple (LCM) of 6 and 7, which is 42. (19/6) = (19/6) * (7/7) = (133/42) (29/7) = (29/7) * (6/6) = (174/42)

Now the expression becomes: (133/42) - (174/42)

Step 2: Continue evaluating the values inside the parentheses. (133/42) - (174/42) = (133 - 174)/42 = (-41/42)

Step 3: Calculate the second part of the expression. 5 4/5 - 0.55 = (29/5) - (55/100)

To find a common denominator, we take the least common multiple (LCM) of 5 and 100, which is 100. (29/5) = (29/5) * (20/20) = (580/100) (55/100) = (55/100) * (1/1) = (55/100)

Now the expression becomes: (580/100) - (55/100)

Step 4: Continue evaluating the second part of the expression. (580/100) - (55/100) = (580 - 55)/100 = (525/100) = 5.25

Step 5: Finally, calculate the result of the entire expression. (-41/42) * 5.25 ≈ -5.0238

Rounded to two decimal places, the result is approximately -5.02.

Please double-check my calculations to ensure accuracy. If everything is correct, I hope this helps, and if you have any more questions, feel free to ask!