Question

|2\3²*3\4| |-20\21|:|2 6\7|

Answer 1

1/3*20/21*7/20=1/3*1/3=1/9

Answer 2

To solve the expression |2/3² * 3/4| + |-20/21| : |2 + 6/7|, we can follow the order of operations (also known as PEMDAS/BODMAS) to simplify it step by step.

1. Start by simplifying the division within each absolute value: |2/3² * 3/4| + |-20/21| : |2 + 6/7| = |2/9 * 3/4| + |-20/21| : |2 + 6/7|

2. Next, simplify the multiplication within the first absolute value: |2/9 * 3/4| + |-20/21| : |2 + 6/7| = |6/36| + |-20/21| : |2 + 6/7| = |1/6| + |-20/21| : |2 + 6/7|

3. Calculate the absolute values: |1/6| + |-20/21| : |2 + 6/7| = 1/6 + 20/21 : |2 + 6/7|

4. Simplify the addition within the first absolute value: 1/6 + 20/21 : |2 + 6/7| = 1/6 + 20/21 : |44/7|

5. Convert the division by a fraction to multiplication by its reciprocal: 1/6 + 20/21 * 7/44

6. Find a common denominator for the fractions: 1/6 + (20/21 * 7/44) * (7/7) = 1/6 + 140/924

7. Simplify the addition: 1/6 + 140/924 = 154/924 + 140/924 = (154 + 140)/924 = 294/924

8. Simplify the fraction: 294/924 = 7/22

Therefore, the simplified value of the expression |2/3² * 3/4| + |-20/21| : |2 + 6/7| is 7/22.