Question

(4_3/4-2):33/2+1_6/11:17/8

Answer 1

Ответ:

Пошаговое объяснение:

4_3/4-2=2 3\4

2 3\4:33\2=11\4*2\33=1\6

1_6/11:17/8=17\11*8\17=8\11

1\6+8\11=11\66+48\66=59\66

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS) to simplify it step by step:

1. First, perform the subtraction: 4_3/4 - 2 = 3_3/4

2. Then, perform the division: 3_3/4 ÷ 33/2 To divide mixed numbers, convert them to improper fractions: 3_3/4 = (43 + 3)/4 = 15/4 33/2 = 33 ÷ 2 = 33/2 Now, invert the divisor and multiply: (15/4) * (2/33) = (152) / (4*33) = 30/132

3. Next, perform the addition: 30/132 + 1_6/11 To add mixed numbers, convert them to improper fractions: 1_6/11 = (111 + 6)/11 = 17/11 Now, find a common denominator, which is 132: 30/132 + (1712)/(11*12) = 30/132 + 204/132 = (30 + 204) / 132 = 234/132

4. Finally, perform the division: 234/132 ÷ 17/8 To divide fractions, invert the divisor and multiply: (234/132) * (8/17) = (2348) / (13217) = 1872/2244

Now, simplify the result: 1872/2244 = 104/124 = 26/31

So, the simplified result of the expression is 26/31.