Question

- 2 5/6 -(-5 8/9)=?????????

Answer 1

To solve the expression -2 5/6 - (-5 8/9), you can follow these steps:

Step 1: Subtract the two fractions within the parentheses.

-2 5/6 - (-5 8/9) = -2 5/6 + 5 8/9

Step 2: Find a common denominator for the fractions. In this case, the common denominator is 18.

-2 5/6 + 5 8/9 = -2 (5/6 * 3/3) + 5 (8/9 * 2/2)

Step 3: Perform the arithmetic operations within each term.

-2 (15/18) + 5 (16/18)

Step 4: Now, both fractions have the same denominator, so you can add or subtract the numerators.

-30/18 + 80/18

Step 5: Add the two fractions:

(-30 + 80)/18 = 50/18

Step 6: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

(50 ÷ 2) / (18 ÷ 2) = 25/9

So, -2 5/6 - (-5 8/9) = 25/9.