Question

4 2/3 : 4 9/10 - (4 1/2 - 3 5/7 * 5/12) = Решите пример.

Answer 1

4 целых 2/3 : 4 целых 9/10 - (4 целых 1/2 - 3 целых 5/7 · 5/12) = -2
1) 4 целых 2/3 : 4 целых 9/10 = 14/3 : 49/10 = 14/3 · 10/49 = 20/21
2) 3 целых 5/7 · 5/12 = 26/7 · 5/12 = 65/42 = 1 целая 23/42
3) 4 целых 1/2 - 1 целая 23/42 = 4 целых 21/42 - 1 целая 23/42 =
= 3 целых 21/42 - 23/42 = 2 целых 63/42 - 23/42 = 2 целых 40/42 =
= 2 целых 20/21
4) 20/21 - 2 целых 20/21 = -2

Answer 2

To solve the given expression, we'll follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication, and Division, and Addition, and Subtraction.

Given expression: 4 2/3 : 4 9/10 - (4 1/2 - 3 5/7 * 5/12)

Step 1: Convert mixed numbers to improper fractions: 4 2/3 = (4 * 3 + 2) / 3 = 14 / 3 4 9/10 = (4 * 10 + 9) / 10 = 49 / 10 4 1/2 = (4 * 2 + 1) / 2 = 9 / 2 3 5/7 = (3 * 7 + 5) / 7 = 26 / 7

Step 2: Simplify the expression within the parentheses: (4 1/2 - 3 5/7 * 5/12) = (9/2 - 26/7 * 5/12)

Step 3: Perform the multiplication within the parentheses: = (9/2 - 130/84)

Step 4: Convert the result back to a mixed number: = (9/2 - 65/42) = (18/4 - 65/42) = (9/2 - 65/42) = (189/42 - 65/42) = (189 - 65)/42 = 124/42 = 62/21

Step 5: Now, the expression becomes: 14/3 : 49/10 - 62/21

Step 6: Perform division: = (14/3) * (10/49) - 62/21 = 140/147 - 62/21

Step 7: Find a common denominator and perform subtraction: Since the common denominator of 147 and 21 is 147, convert the fractions: = (140/147) - (62/21) * (7/7) = (140/147) - (62 * 7)/(21 * 7) = 140/147 - 434/147

Step 8: Perform subtraction: = (140 - 434)/147 = -294/147 = -2

The solution to the given expression is -2.