Question

(48:45-1/3)*23/11+3/5

Answer 1

Ответ:

2 2/15

Пошаговое объяснение:

(48:45-1/3)*23/11+3/5

1)48:45=1 1/15

2)1 1/15-1/3=11/15

3)11/15*23/11=1 8/15

4)1 8/15+3/5=2 2/15

Answer 2

To solve the expression (48:45-1/3)*23/11+3/5, let's break it down step by step:

Step 1: Simplify the expression within the parentheses (48:45-1/3). To divide 48 by 45, we use the colon notation, so (48:45) means dividing 48 by 45. Dividing 48 by 45 gives us approximately 1.0667. Therefore, the expression simplifies to 1.0667 - 1/3.

Step 2: Simplify the expression 1.0667 - 1/3. To subtract 1/3 from 1.0667, we need to find a common denominator. The common denominator for 3 and 1 is 3. Converting 1.0667 to a fraction with the denominator 3, we get (1.0667 * 3)/3 = 3.2/3. Now we can subtract the fractions: 3.2/3 - 1/3 = (3.2 - 1)/3 = 2.2/3.

Step 3: Simplify the expression 2.2/3 * 23/11. To multiply 2.2/3 by 23/11, we multiply the numerators and the denominators together: (2.2 * 23) / (3 * 11) = 50.6 / 33.

Step 4: Simplify the expression 50.6 / 33. To divide 50.6 by 33, we perform the division: 50.6 / 33 = approximately 1.5364.

Step 5: Add 1.5364 to 3/5. To add a decimal number to a fraction, we need to convert the decimal number to a fraction with the same denominator as the fraction. Converting 1.5364 to a fraction with the denominator 5, we get 7.682/5. Now we can add the fractions: 7.682/5 + 3/5 = (7.682 + 3)/5 = 10.682/5.

The final simplified result of the expression (48:45-1/3)*23/11+3/5 is approximately 10.682/5 or 2.1364.