Question

2 5/6+(-3 7/8) -(-2 1/12) -1 2/3

Answer 1

Ответ:-0.625

Объяснение:

Answer 2

To calculate the expression 2 5/6 + (-3 7/8) - (-2 1/12) - 1 2/3, you can follow these steps:

Step 1: Convert all mixed numbers to improper fractions.

• 2 5/6 as an improper fraction is (2 * 6 + 5) / 6 = 17/6
• -3 7/8 as an improper fraction is (-3 * 8 + 7) / 8 = -31/8
• -2 1/12 as an improper fraction is (-2 * 12 + 1) / 12 = -25/12
• 1 2/3 as an improper fraction is (1 * 3 + 2) / 3 = 5/3

Step 2: Now, the expression becomes: (17/6) + (-31/8) - (-25/12) - (5/3)

Step 3: Subtract the negative fractions by adding them: (17/6) + (31/8) + (25/12) - (5/3)

Step 4: Find a common denominator, which is 24. (68/24) + (93/24) + (50/24) - (40/24)

Step 5: Add and subtract the fractions: (68/24 + 93/24 + 50/24) - 40/24

Step 6: Combine the numerators: (68 + 93 + 50) / 24 - 40/24

Step 7: Add the numerators: (211/24) - (40/24)

Step 8: Subtract the fractions: (211/24) - (40/24) = (211 - 40) / 24 = 171/24

Step 9: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (3): (171/3) / (24/3) = 57/8

So, the final result is 57/8.