Question

-2/9(2,7m-1,5n)+5/6(2n-0,48m)​

Answer 1

$- \frac{2}{9} (2.7m - 1.5n) + \frac{5}{6} (2n - 0.48m)$

$2.7 = \frac{27}{10} , \: 1.5 = \frac{15}{10} = \frac{3}{2} , \: 0.48 = \frac{48}{100} = \frac{12}{25}$

$- \frac{2}{9} \times \frac{27}{10} \times m - \frac{2}{9} \times ( - \frac{3}{2} ) \times n + \frac{5}{6} \times 2 \times n - \frac{5}{6} \times \frac{12}{25} \times m = - \frac{2 \times 27}{9 \times 10} m + \frac{2 \times 3}{9 \times 2} \times n + \frac{5 \times 2}{6} \times n - \frac{5 \times 12}{6 \times 25} \times m = - \frac{3}{5} m + \frac{1}{3} n + \frac{5}{3} n - \frac{2}{5} m = ( - \frac{3}{5} m + \frac{2}{5} m) + ( \frac{1}{3} n + \frac{5}{3} n) = - \frac{1}{5} m + 2n$

Answer 2

To simplify the expression (-2/9)(2.7m - 1.5n) + (5/6)(2n - 0.48m), you can start by distributing the coefficients to the terms inside the parentheses. Here's the step-by-step simplification:

1. Distribute -2/9 to the terms inside the first set of parentheses:

(-2/9)(2.7m) - (-2/9)(1.5n)

Now, simplify each term:

(-2/9)(2.7m) = -5.4m/9 = -1.2m/2

(-2/9)(1.5n) = 3/3 * (-2/9)(1.5n) = (-6/27)(1.5n) = (-0.2222222...)(1.5n) ≈ -0.3333333...n

2. Distribute 5/6 to the terms inside the second set of parentheses:

(5/6)(2n) - (5/6)(0.48m)

Now, simplify each term:

(5/6)(2n) = (10/6)n = (5/3)n

(5/6)(0.48m) = (2.4/6)m = (0.4)m

3. Now, you can combine like terms:

-1.2m/2 - (-0.3333333...n) + (5/3)n - (0.4)m

-0.6m + 0.3333333...n + 1.6666666...n - 0.4m

4. Combine like terms once more:

(-0.6m - 0.4m) + (0.3333333...n + 1.6666666...n)

-1m + 2n

So, the simplified expression is:

-1m + 2n