Question

2 5/12-75:(1 5/8-6 9/16) =? ​

Answer 1

Ответ:

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Answer 2

To solve the given expression, let's break it down step by step:

Step 1: Convert mixed numbers into improper fractions. 2 5/12 = (2 * 12 + 5) / 12 = 29/12 1 5/8 = (1 * 8 + 5) / 8 = 13/8 6 9/16 = (6 * 16 + 9) / 16 = 105/16

Step 2: Simplify the expression within the parentheses. 1 5/8 - 6 9/16 = 13/8 - 105/16

Step 3: Find a common denominator for the fractions. The common denominator for 8 and 16 is 16.

13/8 = (13 * 2) / (8 * 2) = 26/16

Step 4: Perform the subtraction. 26/16 - 105/16 = (26 - 105) / 16 = -79/16

Step 5: Divide the fraction. 29/12 ÷ (-79/16) = 29/12 * (16/-79)

Step 6: Simplify the expression. The fraction 29/12 can be simplified by finding a common factor for the numerator and denominator. The greatest common divisor (GCD) of 29 and 12 is 1.

29/12 * (16/-79) = (29 * 16) / (12 * -79) = -464/948

Step 7: Simplify the fraction further, if possible. The fraction -464/948 can be simplified by finding a common factor for the numerator and denominator. The GCD of 464 and 948 is 4.

-464/948 = (-464 ÷ 4) / (948 ÷ 4) = -116/237

Therefore, 2 5/12 - 75 ÷ (1 5/8 - 6 9/16) equals -116/237.