Question

17/12÷ 3 2/5-2/5×(2-1 1/12)​

Answer 1

$\frac{17}{12}:3\frac{2}{5} - \frac{2}{5}(2 - 1\frac{1}{12} ) = \frac{17}{12}*\frac{5}{17} -\frac{2}{5}*(1\frac{12}{12}-1\frac{1}{12})=\frac{5}{12}-\frac{2}{5}*\frac{11}{12} = \frac{5}{12} -\frac{11}{30} = \frac{25}{60} -\frac{22}{60} = \frac{3}{60} = \frac{1}{20}=0,05$

Answer 2

To simplify the expression, let's break it down step by step:

17/12 ÷ 3 2/5 - 2/5 × (2 - 1 1/12)

Step 1: Convert mixed numbers to improper fractions. 1 1/12 = (12 * 1 + 1) / 12 = 13/12

Step 2: Simplify the expression within parentheses. 2 - 13/12 = (24/12) - (13/12) = 11/12

Step 3: Simplify the multiplication. 2/5 × 11/12 = (2 * 11) / (5 * 12) = 22/60 = 11/30

Step 4: Perform division. 17/12 ÷ 3 2/5 = (17/12) ÷ (17/5) = (17/12) × (5/17) = (17 * 5) / (12 * 17) = 85/204

Step 5: Subtract the results. 85/204 - 11/30

To subtract fractions, we need a common denominator. The common denominator for 204 and 30 is 1020.

(85/204) × (5/5) = 425/1020 (11/30) × (34/34) = 374/1020

Now, we can subtract: 425/1020 - 374/1020 = (425 - 374) / 1020 = 51/1020

Step 6: Simplify the result. 51/1020 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 51.

51/1020 ÷ 51/51 = 1/20

Therefore, the simplified expression is 1/20.