Question

4 2/3-5/9×2 4/7/(2 1/7+1 2/3):5​

Answer 1

Ответ:

Пошаговое объяснение:

5/9*2 4/7=5/9*18/7=10/7=1 3/7

4 2/3-1 3/7=4 14/21-1 9/21=3 5/21

2 1/7+1 2/3=2 3/2+1 14/21=3 17/21

3 17/21:5=80/21*1/5=16/21

3 5/21:16/21=68/21*21/16=68/16=4 1/4

Answer 2

To solve the given expression, follow the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):

Step 1: Resolve the innermost parentheses first. 2 1/7 + 1 2/3 = (15/7) + (5/3) = (45/21) + (35/21) = 80/21

Step 2: Perform the division. 2 4/7 ÷ (2 1/7 + 1 2/3) = 2 4/7 ÷ (80/21)

Step 3: Convert the mixed number into an improper fraction for easier calculations. 2 4/7 = (2 * 7 + 4) / 7 = 18/7

Step 4: Divide the fractions. (18/7) ÷ (80/21) = (18/7) * (21/80) = (18 * 21) / (7 * 80) = 378 / 560

Step 5: Simplify the fraction. 378/560 can be reduced to 27/40 (by dividing the numerator and denominator by their greatest common divisor, which is 14).

Step 6: Perform multiplication and subtraction from left to right. 4 2/3 - 5/9 × 27/40 : 5 = (14/3) - (5/9) × (27/40) ÷ 5

Step 7: Convert the whole number into a fraction. 4 2/3 = (4 * 3 + 2) / 3 = 14/3

Step 8: Perform multiplication and division. 14/3 - (5/9) × (27/40) ÷ 5 = 14/3 - (5/9) × (27/40) × (1/5)

Step 9: Simplify the expression. 14/3 - (5 * 27) / (9 * 40 * 5) = 14/3 - 135 / 180 = 14/3 - 3/4

Step 10: Find a common denominator and subtract the fractions. Common denominator = 12

14/3 = 56/12 3/4 = 9/12

56/12 - 9/12 = 47/12

So, the final answer is 47/12, which can also be expressed as 3 11/12.