Question

Решить: 1/5+ 1 5/6 + 2 7/10

Answer 1

1/5  +  1 5/6  +  2 7/10 = 1/5  +  11/6  +  27/10 =(1 × 6  +  11 × 5  +  27 × 3)/30 = 6/30  +  55/30  +  81/30 =  142/30 = 71/15 = 4 11/15

Answer 2

To solve the expression, we need to convert all mixed numbers to improper fractions and then add them together. Let's do that step by step:

Step 1: Convert mixed numbers to improper fractions. 1 5/6 can be written as (61 + 5)/6 = 11/6. 2 7/10 can be written as (102 + 7)/10 = 27/10.

Step 2: Find a common denominator for all fractions, which is the least common multiple (LCM) of the denominators 5 and 6 and 10. The LCM of 5 and 6 is 30, and the LCM of 30 and 10 is 30.

Step 3: Express all fractions with the common denominator of 30. 1/5 is already in terms of 30, so it remains the same. 11/6 can be converted to (11/6)(5/5) = 55/30. 27/10 can be converted to (27/10)(3/3) = 81/30.

Step 4: Add the fractions together. 1/5 + 55/30 + 81/30

Step 5: Combine the fractions with a common denominator. (1 + 55 + 81) / 30 = 137/30

So, the solution is 137/30. However, we can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 1 in this case. Therefore, the final simplified result is 137/30.