Question

|-4 2/7|-|1 5/14|-|-1 5/14|​

Answer 1

Ответ: 1 8/14

Пошаговое объяснение:

|-4 2/7|-|1 5/14|-|-1 5/14|=4 2/7-1 5/7-1 5/7=30/7-38/14=22/14=1 8/14

Answer 2

To simplify the expression |-4 2/7| - |1 5/14| - |-1 5/14|, you can follow these steps:

Step 1: Convert the mixed numbers to improper fractions. |-4 2/7| = |-30/7| |1 5/14| = |19/14| |-1 5/14| = |-19/14|

Step 2: Perform the subtraction operations. |-30/7| - |19/14| - |-19/14|

Step 3: Calculate the absolute values and subtract. |-30/7| = 30/7 |19/14| = 19/14 |19/14| = 19/14

Now, the expression becomes: (30/7) - (19/14) - (19/14)

Step 4: Find a common denominator for the fractions, which is 14. (30/7) - (19/14) - (19/14) = (30/7) - (19/14) - (19/14) * (7/7)

Step 5: Subtract the fractions. (30/7) - (19/14) - (19/98)

Step 6: Find a common denominator for the remaining fractions, which is 98. (30/7) * (14/14) - (19/14) * (7/7) - (19/98)

Step 7: Continue to simplify. (420/98) - (133/98) - (19/98)

Step 8: Subtract the fractions. (420 - 133 - 19) / 98

Step 9: Calculate the numerator. (420 - 133 - 19) = 268

The simplified expression is: 268/98

Step 10: Reduce the fraction to its simplest form by dividing both the numerator and denominator by their greatest common divisor, which is 2. (268/2) / (98/2) = 134/49

So, |-4 2/7| - |1 5/14| - |-1 5/14| simplifies to 134/49.