Question

2 3/4-(-1 1/2)+(-3 5/6)=????

Answer 1

$2 \frac{3}{4} - ( - 1 \frac{1}{2} ) + ( - 3 \frac{5}{6} ) = \frac{11}{4} + 1 \frac{1}{2} - 3 \frac{5}{6} = \frac{11}{4} + \frac{3}{2} - \frac{23}{6} = \frac{5}{12}$

Answer 2

To solve the expression 2 3/4 - (-1 1/2) + (-3 5/6), you can follow these steps:

Step 1: Subtract the negative fraction: 2 3/4 - (-1 1/2) = 2 3/4 + 1 1/2

Step 2: Add the mixed numbers: To add mixed numbers, first add the whole numbers, and then add the fractions separately.

Whole numbers: 2 + 1 = 3

Now, let's add the fractions: 3/4 + 1/2

To add these fractions, you need a common denominator, which in this case is 4. So, you'll need to convert 1/2 to an equivalent fraction with a denominator of 4:

1/2 = 2/4

Now, you can add the fractions: 3/4 + 2/4 = 5/4

Step 3: Add the remaining negative fraction: Now, you have:

3 (whole number part) + 5/4 (fraction part)

Step 4: Add the last negative fraction: Next, you need to add the last negative fraction, -3 5/6.

First, subtract the whole numbers: -3 - 3 = -6

Now, let's add the fractions. To do this, you'll need a common denominator, which is 4:

5/4 (from the previous step) - 5/6

To find a common denominator between 4 and 6, you can use 12:

5/4 * 3/3 = 15/12 5/6 * 2/2 = 10/12

Now, you can subtract the fractions:

15/12 - 10/12 = 5/12

Step 5: Combine the results: Now, you have:

-6 (whole number part) + 5/12 (fraction part)

So, the final result is:

-6 + 5/12

To make this a mixed number, you can simplify the fraction:

-6 + 5/12 = -6 + 5/12

So, 2 3/4 - (-1 1/2) + (-3 5/6) = -6 + 5/12 or -6 5/12.