Question

12 13/45-( у-5 17/45)=3 23/45

Answer 1

Переводим в неправильную дробь 553/45-y+242/45=180/45 -y=180/45-553/45+242/45 y= 131/45 переводимое в правильную дробь 2 41/45

Answer 2

To solve the given equation: 12 13/45 - (у - 5 17/45) = 3 23/45, we can follow these steps:

Step 1: Convert all mixed numbers into improper fractions.

12 13/45 can be written as (12 * 45 + 13)/45 = 553/45.

Similarly, 5 17/45 can be written as (5 * 45 + 17)/45 = 242/45.

Step 2: Substitute the converted fractions into the equation.

The equation becomes:

553/45 - (у - 242/45) = 3 23/45.

Step 3: Simplify the equation.

553/45 - (у - 242/45) = 138/45.

Step 4: Distribute the negative sign.

553/45 - у + 242/45 = 138/45.

Step 5: Combine like terms.

(553/45 + 242/45) - у = 138/45.

795/45 - у = 138/45.

Step 6: Convert the whole numbers back into mixed numbers.

795/45 is equivalent to 17 30/45.

138/45 is equivalent to 3 3/45.

So, the equation becomes:

17 30/45 - у = 3 3/45.

Step 7: Simplify the mixed numbers.

17 30/45 is equivalent to 17 2/3.

3 3/45 is equivalent to 3 1/15.

So, the equation becomes:

17 2/3 - у = 3 1/15.

Step 8: Subtract the fractions.

To subtract the fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 15 is 15. Therefore, we can convert the fractions to have a common denominator of 15.

17 2/3 can be written as (17 * 3 + 2)/3 = 53/3.

3 1/15 can be written as (3 * 15 + 1)/15 = 46/15.

So, the equation becomes:

53/3 - у = 46/15.

Step 9: Convert the fractions into mixed numbers.

53/3 is equivalent to 17 2/3.

46/15 cannot be simplified further.

So, the equation becomes:

17 2/3 - у = 46/15.

Step 10: Subtract the fractions.

To subtract the fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 15 is 15. Therefore, we can convert the fractions to have a common denominator of 15.

17 2/3 can be written as (17 * 3 + 2)/3 = 53/3.

46/15 can be written as (46 * 3 + 1)/15 = 139/15.

So, the equation becomes:

53/3 - у = 139/15.

Step 11: Multiply both sides of the equation by 3 to eliminate the fraction in the numerator.

(3 * 53/3) - (3 * у) = (3 * 139/15).

53 - 3у = 417/5.

Step 12: Convert the fraction into a mixed number.

417/5 is equivalent to 83 2/5.

So, the equation becomes:

53 - 3у = 83 2/5.

Step 13: Subtract 53 from both sides of the equation.

53 - 53 - 3у = 83