Question

49-(61 11/27-35 11/27+1 16/39)+(53 1/13-52 1/2)+1/2

Answer 1

1) 61 11/27-35 11/27=26
2) 26+1 16/39=27 16/39
3) 53 1/13-52 1/2=15/26
4) 49-27 16/39=22 16/39
5) 22 16/39+15/26=22 77/78
6) 22 77/78+1/2=22 116/78
7) 22 116/76=38 1/78

Answer 2

$= 49 - ( \frac{671}{27} - \frac{385}{27} + \frac{16}{39} ) + \frac{53}{13} - 26) + \frac{1}{2} = 49 - \frac{3862}{351} - \frac{285}{13} + \frac{1}{2} = \frac{895}{54} = 16 \frac{31}{54}$

Answer 3

To simplify the given expression, follow these steps:

Step 1: Convert mixed fractions to improper fractions. Step 2: Perform the operations within the parentheses. Step 3: Perform the addition and subtraction operations from left to right.

Given expression: 49 - (61 11/27 - 35 11/27 + 1 16/39) + (53 1/13 - 52 1/2) + 1/2

Step 1: Convert mixed fractions to improper fractions. 61 11/27 = (27 * 61 + 11)/27 = (1647 + 11)/27 = 1658/27 35 11/27 = (27 * 35 + 11)/27 = (945 + 11)/27 = 956/27 1 16/39 = (39 * 1 + 16)/39 = (39 + 16)/39 = 55/39 53 1/13 = (13 * 53 + 1)/13 = (689 + 1)/13 = 690/13 52 1/2 = (2 * 52 + 1)/2 = (104 + 1)/2 = 105/2

Step 2: Perform the operations within the parentheses. (1658/27 - 956/27 + 55/39) = (1658 - 956 + 55)/27 = 757/27

(690/13 - 105/2) = (1380/26 - 105/2) = (690/13 - 210/13) = 480/13

Step 3: Perform the addition and subtraction operations from left to right. 49 - (757/27) + (480/13) + 1/2

To combine the fractions, find a common denominator for 27 and 13, which is 351. Now convert all fractions to have this denominator.

49 * 351/351 - 757/27 * 13/13 + 480/13 * 27/27 + 1/2 * 351/351

Perform the calculations:

(49 * 351 - 757 * 13 + 480 * 27 + 1 * 351)/(27 * 13 * 2)

(17249 - 9851 + 12960 + 351)/702

3759/702

Now, we can simplify this fraction:

3759/702 = 1257/234

So, the simplified result of the expression is 1257/234.