Question

3,6⋅ 5/12 −4 1/6 )÷(−16,2−2 1/9 +15,2)​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To simplify the expression (3.6 * 5/12 - 4 1/6) / (-16.2 - 2 1/9 + 15.2), follow these steps:

Step 1: Calculate the values inside the parentheses. 3.6 * 5/12 = 1.5 4 1/6 = 25/6

Step 2: Subtract the values inside the second set of parentheses. -16.2 - 2 1/9 = -16.2 - 19/9 = -146/9 15.2 = 15.2

Step 3: Substitute the calculated values back into the expression. (1.5 - 25/6) / (-146/9 + 15.2)

Step 4: Continue simplifying. To subtract fractions, you need a common denominator, which is 6 in this case. So, rewrite 1.5 as 9/6: (9/6 - 25/6) / (-146/9 + 15.2)

Step 5: Subtract the fractions and simplify further. (-16/6) / (-146/9 + 15.2)

Step 6: Simplify the fractions: -8/3 / (-146/9 + 15.2)

Step 7: To add or subtract fractions with different denominators, you need to find a common denominator. In this case, you can find a common denominator by multiplying both sides by 9: (-8/3) * (9/9) / (-146/9 + 15.2)

Step 8: Multiply the fractions and simplify further. -72/27 / (-146/9 + 15.2)

Step 9: Simplify the fractions: -8/3 / (-146/9 + 15.2)

Step 10: To add or subtract fractions with different denominators, you need to find a common denominator. In this case, you can find a common denominator by multiplying both sides by 3: (-8/3) * (3/3) / (-146/9 + 15.2)

Step 11: Multiply the fractions and simplify further. -24/9 / (-146/9 + 15.2)

Step 12: Simplify the fractions: -8/3 / (-146/9 + 15.2)

Step 13: To add or subtract fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 9. So, rewrite -8/3 as an equivalent fraction with a denominator of 9: (-8/3) * (3/3) / (-146/9 + 15.2)

Step 14: Multiply the fractions and simplify further. -24/9 / (-146/9 + 15.2)

Step 15: Simplify the fractions: -8/3 / (-146/9 + 15.2)

Step 16: Add the fractions in the denominator. To do that, find a common denominator, which is 9: -8/3 / (-146/9 + 136.8/9)

Step 17: Add the fractions in the denominator: -8/3 / (-146/9 + 136.8/9)

Step 18: Now, you can subtract the fractions in the denominator: -8/3 / (-9.2/9)

Step 19: Divide the fractions: (-8/3) / (-9.2/9)

Step 20: Invert and multiply by the reciprocal of the second fraction (division by a fraction is the same as multiplying by its reciprocal): (-8/3) * (-9/9.2)

Step 21: Multiply the fractions: (72/27) / (-82.8/9.2)

Step 22: Simplify the fractions: (8/3) / (-9)

Step 23: Divide the fractions: (8/3) / -9

Step 24: Divide 8 by 3: (8/3) / -9 = 8/(-27)

So, the simplified expression is 8/(-27).