Question

(-3,3/10-1,8/15):(-1,2/27)= -21/6:(-0,12)+9,6:(8,9-11,3)=

Answer 1

Ответ:

$(-3\frac{3}{10} - 1\frac{8}{15}) : (-1\frac{2}{27}) = (-\frac{33}{10} - \frac{23}{15}) : (-\frac{29}{27}) = (\frac{99+46}{30}) : (-\frac{29}{27}) = \frac{145}{30} : \frac{29}{27} = \frac{145*27}{30*29} = \frac{5*9}{10} = \frac{45}{10} = 4,5$

$-2\frac{1}{6} : (-0,12) + 9,6 : (8,9 - 11,3) = -\frac{13}{6} : (-\frac{3}{25}) + 9,6 : (-2,4) = \frac{13*25}{6*3} - 4 =$$\frac{325}{18} - 4 = 18\frac{1}{18} - 4 = 14\frac{1}{18}$

Answer 2

To solve this expression, let's break it down step by step:

Step 1: Simplify the division inside the parentheses first. (-3, 3/10 - 1, 8/15) / (-1, 2/27)

Step 2: Convert the mixed numbers to fractions. ((-3 * 10 + 3) / 10 - (1 * 15 + 8) / 15) / ((-1 * 27 + 2) / 27)

Step 3: Simplify the numerator and denominator separately. ((-30 + 3) / 10 - (15 + 8) / 15) / ((-27 + 2) / 27) (-27 / 10 - 23 / 15) / (-25 / 27)

Step 4: Find a common denominator for the numerator and simplify. ((-27 * 3) / (10 * 3) - (23 * 2) / (15 * 2)) / (-25 / 27) (-81/30 - 46/30) / (-25/27) (-127/30) / (-25/27)

Step 5: Invert the second fraction and multiply. (-127/30) * (27/-25)

Step 6: Simplify the resulting fraction. (-127 * 27) / (30 * -25) -3429 / -750

Step 7: Divide the numerator and denominator by their greatest common divisor (GCD) to simplify the fraction further. -3429 and -750 have a GCD of 3. (-3429 / 3) / (-750 / 3) -1143 / -250

Step 8: Simplify the fraction by dividing the numerator and denominator by their GCD. -1143 and -250 have a GCD of 1. (-1143 / 1) / (-250 / 1) -1143 / -250

Therefore, the simplified result of the expression is 1143/250.