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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 4/1-4/3+4/5-4/7+4/9-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29 .
Question type: Mathematical calculation
Solution:
4/1-4/3+4/5-4/7+4/9-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-4/3+4/5-4/7+4/9-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+4/5-4/7+4/9-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-4/7+4/9-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+4/9-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=2.666667+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=3.466667-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=2.895238+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=3.339682-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=2.976046+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=3.283738-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=3.017071+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=3.252365-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=3.041839+0.190476-0.173913+0.16-0.148148+0.137931
=3.232315-0.173913+0.16-0.148148+0.137931
=3.058402+0.16-0.148148+0.137931
=3.218402-0.148148+0.137931
=3.070254+0.137931
=3.208185
Answer:4/1-4/3+4/5-4/7+4/9-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29=3.208185
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 4/1-4/3+4/5-4/7+4/9-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29 .
Question type: Mathematical calculation
Solution:
4/1-4/3+4/5-4/7+4/9-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-4/3+4/5-4/7+4/9-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+4/5-4/7+4/9-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-4/7+4/9-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+4/9-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+4/17-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-4/19+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+4/21-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-4/23+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+4/25-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-4/27+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+4/29
=4-1.333333+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=2.666667+0.8-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=3.466667-0.571429+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=2.895238+0.444444-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=3.339682-0.363636+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=2.976046+0.307692-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=3.283738-0.266667+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=3.017071+0.235294-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=3.252365-0.210526+0.190476-0.173913+0.16-0.148148+0.137931
=3.041839+0.190476-0.173913+0.16-0.148148+0.137931
=3.232315-0.173913+0.16-0.148148+0.137931
=3.058402+0.16-0.148148+0.137931
=3.218402-0.148148+0.137931
=3.070254+0.137931
=3.208185
Answer:4/1-4/3+4/5-4/7+4/9-4/11+4/13-4/15+4/17-4/19+4/21-4/23+4/25-4/27+4/29=3.208185