Question

3 1/3+(7 1/2-4, 25) :9/20

Answer 1

Решение:

1. 7 1/2 - 4,25 = 7 1/2 - 4 25/100 = 15/2 - 17/4=(15 × 2 - 17 × 1)/4 = 30/4 - 17/4 = 13/4 = 3 1/4

2. 3 1/4 ÷ 9/20 = 13/4 ÷ 9/20 = 13/4 × 20/9 = 65/9 = 7 2/9

3. 3 1/3 + 7 2/9 = 10/3  +  65/9 = (10×3+65×1)/9=30/9 + 65)9 = 95/9 = 10 5/9

Ответ: 10 5/9.

Answer 2

To solve the expression "3 1/3 + (7 1/2 - 4.25) ÷ (9/20)," we can follow the order of operations (PEMDAS/BODMAS) to simplify the calculation step by step.

Step 1: Simplify the innermost parentheses first.

7 1/2 - 4.25 = 7.5 - 4.25 = 3.25

The expression becomes: 3 1/3 + 3.25 ÷ (9/20)

Step 2: Perform the division.

3.25 ÷ (9/20) = 3.25 * (20/9) = (3.25 * 20) / 9 = 65 / 9

The expression becomes: 3 1/3 + 65/9

Step 3: Convert the whole number and mixed fraction into improper fractions.

3 1/3 = (3 * 3 + 1) / 3 = 10/3

The expression becomes: 10/3 + 65/9

Step 4: Find a common denominator and perform the addition.

To find the common denominator, we multiply the denominators 3 and 9: 3 * 9 = 27.

10/3 = (10/3) * (9/9) = 90/27 65/9 = (65/9) * (3/3) = 195/27

Now we can add the fractions:

90/27 + 195/27 = (90 + 195) / 27 = 285/27

Step 5: Simplify the fraction, if possible.

285/27 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3.

285 ÷ 3 / 27 ÷ 3 = 95/9

Therefore, the result of the expression "3 1/3 + (7 1/2 - 4.25) ÷ (9/20)" is 95/9.