Question

(1 4/9 + 2 5/6 - 2 3/4) : (2 1/2 - 1/4)

Answer 1

-1/369 запись дробью

Answer 2

To solve this expression, let's first convert all the mixed fractions to improper fractions and then proceed with the operations.

Step 1: Convert mixed fractions to improper fractions (1 4/9) can be written as (13/9) (2 5/6) can be written as (17/6) (2 3/4) can be written as (11/4) (2 1/2) can be written as (5/2)

Step 2: Perform the operations

(13/9 + 17/6 - 11/4) : ((5/2) - 1/4)

Step 3: Simplify the fractions

To add the fractions, we need to find a common denominator. The common denominator for 9, 6, and 4 is 36.

(13/9) * (4/4) = (52/36) (17/6) * (6/6) = (102/36) (11/4) * (9/9) = (99/36)

Now the expression becomes:

((52/36) + (102/36) - (99/36)) : ((5/2) - 1/4)

Now, let's solve the expressions inside the parentheses:

(52/36) + (102/36) - (99/36) = (52 + 102 - 99)/36 = (55/36)

((5/2) - 1/4)

To subtract the fractions, we also need to find a common denominator, which is 4.

(5/2) * (2/2) = (10/4)

Now the expression becomes:

(10/4 - 1/4) = (9/4)

Step 4: Now, the expression becomes:

(55/36) : (9/4)

Step 5: To divide fractions, we can multiply by the reciprocal of the divisor:

(55/36) * (4/9)

Step 6: Multiply the numerators and denominators:

(55 * 4) / (36 * 9) = 220 / 324

Step 7: Simplify the fraction:

220 / 324 = 55 / 81

So, the final result of the expression (1 4/9 + 2 5/6 - 2 3/4) : (2 1/2 - 1/4) is 55/81.