Question

|-3,(6)+2 1/4|-|-5,3+2,(3)|

Answer 1

|-3,(6)+2 1/4|-|-5,3+2,(3)|

$0.(6)= \frac{2}{3} \\ 0.(3)= \frac{1}{3}$


$|-3,(6)+2 \frac{1}{4} |-|-5,3+2,(3)| = \\ = |-3 \frac{2}{3} +2 \frac{1}{4} |-|-5 \frac{3}{10} +2 \frac{1}{3} | = \\ = | - 1 + \frac{1}{4} - \frac{2}{3} | - | - 3 + \frac{1}{3} - \frac{3}{10} | = \\ = | - 1 + \frac{3 - 8}{12} | - | - 3 + \frac{10 - 9}{30} | = \\ = | - 1 \frac{5}{12} | - | - 2 \frac{29}{30} | = \\ = 1 \frac{5}{12} - 2 \frac{29}{30} = \\ = - 1 + \frac{5}{12} - \frac{29}{30} = \\ = - 1 + \frac{25 - 58}{60} = \\ = - 1\frac{23}{60}$

Answer 2

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

Step 1: Evaluate the absolute value expressions. |-3,(6)+2 1/4| = |-3,8 1/4| = 8 1/4 |-5,3+2,(3)| = |-5,5,(3)| = 5

Step 2: Substitute the absolute values back into the expression. So now the expression becomes: 8 1/4 - 5

Step 3: Perform the subtraction. 8 1/4 - 5 = 3 1/4

Therefore, the simplified expression is 3 1/4.