Question

Решите:4 42/14×1/2+7/6÷4/2-7/2

Answer 1

4 42/14×1/2+7/6÷4/2-7/2=2*3+7/6*2/4-7/2=6+7/6*1/2-7/2=6+7/12-7/2=37/12=3 1/12

Answer 2

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

1. Calculate multiplication and division from left to right: 42/14 × 1/2 = 3/2 7/6 ÷ 4/2 = (7/6) ÷ (2/1) = 7/6 × 1/2 = 7/12 7/2 = 7/2

2. Now, the expression becomes: 3/2 + 7/12 - 7/2

3. To add and subtract fractions, we need a common denominator. The common denominator for 2, 12, and 2 is 12. Convert all fractions to have a denominator of 12:

   3/2 = 18/12 (multiply numerator and denominator by 6) 7/12 = 7/12 7/2 = 42/12 (multiply numerator and denominator by 6)

4. The expression now becomes: 18/12 + 7/12 - 42/12

5. Combine the fractions with the same denominator: (18 + 7 - 42)/12 = -17/12

Therefore, the solution is -17/12.