Question

3 5/12-(-1 1/3)+(-3/8)-(-2 1/4)-5 5/6

Answer 1

-2 11/24 или -2,45833

Answer 2

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

Step 1: Simplify the expression within the parentheses first. -1 + 1/3 = -3/3 + 1/3 = -2/3 -2 + 1/4 = -8/4 + 1/4 = -7/4

Step 2: Apply the subtraction of negative numbers by changing the signs and converting it to addition. 3 + 5/12 - (-2/3) + (-3/8) - (-7/4) - 5 + 5/6

Step 3: Add the fractions with a common denominator. To add fractions, we need to find a common denominator. The least common denominator (LCD) for 12, 3, 8, and 6 is 24.

Converting the fractions to have a denominator of 24: 3 + (5/12 * 2/2) - (-2/3 * 8/8) + (-3/8 * 3/3) - (-7/4 * 6/6) - 5 + (5/6 * 4/4) = 3 + 10/24 - (-16/24) + (-9/24) - (-42/24) - 5 + 20/24

Step 4: Combine the fractions and whole numbers. 3 + 10/24 + 16/24 + 9/24 + 42/24 - 5 + 20/24 = (3 + 10 + 16 + 9 + 42 - 5)/24 + 20/24 = 75/24 + 20/24

Step 5: Simplify the sum of fractions. 75/24 + 20/24 = (75 + 20)/24 = 95/24

So, the answer to the expression 3 + 5/12 - (-1 + 1/3) + (-3/8) - (-2 + 1/4) - 5 + 5/6 is 95/24.