Question

23/(6 5\17+1 12\17)-(4 2\5-2 3\5)/5=

Answer 1

23 : (6 5/17 + 1 12/17) - (4 2/5 - 2 3/5) : 5 = 2 103/200

1) 6 5/17 + 1 12/17 = 7 + 17/17 = 8

2) 23 : 8 = 2 7/8

3) 4 2/5 - 2 3/5 = 3 7/5 - 2 3/5 = 1 4/5

4) 1 4/5 : 5 = 9/5 : 5/1 = 9/5 * 1/5 = 9/25

5) 2 7/8 - 9/25 = 23/8 - 9/25 =575/200 - 72/200 = 503/200 = 2 103/200 - несократимая дробь, так как 103 - простое число.

Answer 2

◕‿◕◕‿◕** Решение во вложении **.◕‿◕◕‿◕

Answer 3

To simplify this expression, we need to convert mixed numbers into improper fractions and then perform the operations according to the rules of arithmetic.

First, we convert the mixed numbers to improper fractions:

• 65/17 = (17 * 3 + 14)/17 = 3 + 14/17
• 112/17 = (17 * 6 + 10)/17 = 6 + 10/17
• 42/5 = (5 * 8 + 2)/5 = 8 + 2/5
• 23/5 = (5 * 4 + 3)/5 = 4 + 3/5

Now we can substitute these values into the expression and simplify:

23/(3 + 14/17 + 1 + 6 + 10/17) - ((8 + 2/5) - 2 3/5)/5

= 23/(10 + 24/17) - (43/5)/5

= 23/(194/17) - 43/25

Next, we need to find a common denominator for the fractions:

23/(194/17) - 43/25

= (23 * 25)/(194/17 * 25) - (43 * 194/17)/(25 * 194/17)

= 575/3886 - 8382/4850

= (575 * 4850 - 8382 * 3886)/(3886 * 4850)

= -61637/94535

Therefore, the simplified expression is -61637/94535.