Question

(3,6-1 2/3):(4 1/15-27/9)=

Answer 1

(3,6-5/3):(61/15-27/9)= (18/5-5/3): 16/15= (29/15)*(15/16)= 29* 1/16- 29/16

Answer 2

To solve the expression (3 6/7 - 1 2/3) ÷ (4 1/15 - 27/9), follow these steps:

Step 1: Convert all the mixed numbers to improper fractions. (3 6/7) = (3 * 7 + 6) / 7 = 27/7 (1 2/3) = (1 * 3 + 2) / 3 = 5/3 (4 1/15) = (4 * 15 + 1) / 15 = 61/15

Step 2: Subtract the fractions in the parentheses. 27/7 - 5/3 = (27 * 3 - 5 * 7) / (7 * 3) = (81 - 35) / 21 = 46/21

Step 3: Convert 46/21 to a mixed number (if needed). 46 ÷ 21 = 2 with a remainder of 4. So, the fraction is 2 4/21.

Now, the expression becomes: 2 4/21 ÷ (61/15 - 27/9).

Step 4: Subtract the fractions inside the parentheses. 61/15 - 27/9 = (61 * 3 - 27 * 5) / (15 * 3) = (183 - 135) / 45 = 48/45

Step 5: Simplify the fraction 48/45 to its lowest terms. 48 and 45 are both divisible by 3. Divide both the numerator and denominator by 3. 48/45 ÷ 3/3 = (48 * 1) / (45 * 1) = 16/15.

Now, the expression becomes: 2 4/21 ÷ 16/15.

Step 6: Convert 2 4/21 to an improper fraction. (2 * 21 + 4) / 21 = 46/21.

Step 7: Divide the fractions. 46/21 ÷ 16/15 = (46/21) * (15/16) = (46 * 15) / (21 * 16) = 690 / 336.

Step 8: Simplify the fraction 690/336 to its lowest terms. 690 and 336 are both divisible by 6. Divide both the numerator and denominator by 6. 690/336 ÷ 6/6 = (690/6) / (336/6) = 115/56.

So, the final result of the expression is 115/56 or approximately 2.053571.