Question

13/ 18 + 7 /12 5/7 - 3/5 5/6 - 3/8 - 1/12

Answer 1

13/18 + 7/12 = 26/36 + 21/36 = 47/36 = 1 целая 11/36

5/7 - 3/5 = 25/35 - 21/35 = 4/35

5/6 - 3/8 - 1/12 = 20/24 - 9/24 - 2/24 = 9/24 = 3/8 - сократили на 3.

Answer 2

To solve the given expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction. In this case, there are no parentheses or exponents, so you can perform the operations from left to right.

Let's break down the expression step by step:

1. 13/18 + 7/12 + 5/7
2. (13/18 + 7/12 + 5/7) - 3/5
3. ((13/18 + 7/12 + 5/7) - 3/5) + 5/6
4. (((13/18 + 7/12 + 5/7) - 3/5) + 5/6) - 3/8
5. ((((13/18 + 7/12 + 5/7) - 3/5) + 5/6) - 3/8) - 1/12

Now, let's calculate it step by step:

1. 13/18 + 7/12 + 5/7 = (91 + 63 + 60)/252 = 214/252 = 107/126

2. (107/126) - 3/5 = (107/126) - (63/126) = (107 - 63)/126 = 44/126 = 22/63

3. (22/63) + 5/6 = (22/63) + (35/63) = (22 + 35)/63 = 57/63 = 19/21

4. (19/21) - 3/8 = (152/168) - (63/168) = (152 - 63)/168 = 89/168

5. (89/168) - 1/12 = (89/168) - (14/168) = (89 - 14)/168 = 75/168 = 25/56

So, the final result of the given expression is 25/56.