Question

(1 7/ 20 + 2 13/20) + (6 7/25 - 2 10/25)

Answer 1

Ответ: 369/50 или 7 19/50 или 7,38

Answer 2

To simplify the given expression, let's start by adding the fractions within each parenthesis:

1. 7/20 + 2 13/20: To add these fractions, we need to convert the mixed number 2 13/20 to an improper fraction. To do that, we multiply the whole number (2) by the denominator (20) and add the numerator (13) to get the new numerator. The denominator remains the same.

2 13/20 = (2 * 20 + 13)/20 = 53/20

Now we can add the fractions:

1 7/20 + 2 13/20 = (1 + 53/20) = (20/20 + 53/20) = 73/20

2. 6 7/25 - 2 10/25: Following the same steps as before, we convert the mixed number 2 10/25 to an improper fraction:

2 10/25 = (2 * 25 + 10)/25 = 60/25

Now we can subtract the fractions:

6 7/25 - 2 10/25 = (6 - 60/25) = (150/25 - 60/25) = 90/25 = 18/5

Now, let's add the results from step 1 and step 2:

(1 7/20 + 2 13/20) + (6 7/25 - 2 10/25) = 73/20 + 18/5

To add these fractions, we need to find a common denominator. The least common multiple of 20 and 5 is 20. Let's convert both fractions:

(73/20) + (18/5) = (73/20) + (4 * 18/4 * 5) = (73/20) + (72/20)

Now we can add the fractions:

(73/20) + (72/20) = (73 + 72)/20 = 145/20

Therefore, the final answer is 145/20.