Question

6/7-41/42+5/12= 7/11+4/33-3/4= 17/60-19/30+21/40= 21/33+13/44-26/55= как решить?

Answer 1

Надо привести дроби к общему знаменателю
6/7-41/42+5/12=72/84-82/84+35/84=25/84
7/11+4/33-3/4=84/132+16/132-99/132=1/132
17/60-19/30+21/40=34/120-76/120+63/120=21/120=7/40
21/33+13/44-26/55=420/660+195/660-312/660=303/660=101/220

Answer 2

Calculating Fractions

Let's solve the given equations step by step.

1. 6/7 - 41/42 + 5/12

To solve this, we can find a common denominator and then perform the operations.

First, let's find the common denominator for 7, 42, and 12, which is 84.

So, the equation becomes: 6/7 * 12/12 - 41/42 * 2/2 + 5/12 * 7/7 = 72/84 - 82/84 + 35/84 = (72 - 82 + 35)/84 = - (82 - 72 - 35)/84 = -45/84 = -5/12

2. 7/11 + 4/33 - 3/4

First, let's find the common denominator for 11, 33, and 4, which is 132.

So, the equation becomes: 7/11 * 12/12 + 4/33 * 4/4 - 3/4 * 33/33 = 84/132 + 16/132 - 99/132 = (84 + 16 - 99)/132 = 1/132

3. 17/60 - 19/30 + 21/40

First, let's find the common denominator for 60, 30, and 40, which is 120.

So, the equation becomes: 17/60 * 2/2 - 19/30 * 4/4 + 21/40 * 3/3 = 34/120 - 76/120 + 63/120 = (34 - 76 + 63)/120 = 21/120 = 7/40

4. 21/33 + 13/44 - 26/55

First, let's find the common denominator for 33, 44, and 55, which is 1320.

So, the equation becomes: 21/33 * 40/40 + 13/44 * 30/30 - 26/55 * 24/24 = 840/1320 + 390/1320 - 624/1320 = (840 + 390 - 624)/1320 = 606/1320 = 101/220

So, the solutions to the given equations are: - 6/7 - 41/42 + 5/12 = -5/12 - 7/11 + 4/33 - 3/4 = 1/132 - 17/60 - 19/30 + 21/40 = 7/40 - 21/33 + 13/44 - 26/55 = 101/220