Question

16 2) 3/7 • (-2 2/7 ) + ( 11/15 + 0,3) : (- 12 2/5)=​

Answer 1

1)11/15+0,3=1 1/30

2)3/7•(-2 2/7)=-48/49

3)31/30:(-12 2/5)=-1/8

4)-48/49+(-1/8)=-433/392

Answer 2

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

1. Convert mixed numbers to improper fractions: $-2 \frac{2}{7} = -\frac{16}{7}$ $-12 \frac{2}{5} = -\frac{62}{5}$

2. Perform the multiplication and addition inside the parentheses: $\frac{3}{7} \times \left(-\frac{16}{7}\right) + \left(\frac{11}{15} + 0.3\right) : \left(-\frac{62}{5}\right)$

   $= -\frac{48}{49} + \left(\frac{11}{15} + 0.3\right) : \left(-\frac{62}{5}\right)$

3. Simplify the addition inside the parentheses: $= -\frac{48}{49} + \left(\frac{11}{15} + \frac{3}{10}\right) : \left(-\frac{62}{5}\right)$

   $= -\frac{48}{49} + \left(\frac{22}{30} + \frac{9}{30}\right) : \left(-\frac{62}{5}\right)$

   $= -\frac{48}{49} + \frac{31}{30} : \left(-\frac{62}{5}\right)$

4. Simplify the addition inside the parentheses: $= -\frac{48}{49} + \frac{31}{30} : \left(-\frac{62}{5}\right)$

   $= -\frac{48}{49} + \frac{31}{30} \times \left(-\frac{5}{62}\right)$

5. Simplify the division and multiplication: $= -\frac{48}{49} + \left(-\frac{31}{62}\right)$

6. Find a common denominator and add the fractions: To add fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 49 * 62 = 3038.

   $-\frac{48 \times 62}{49 \times 62} - \frac{31 \times 49}{62 \times 49}$

   $= -\frac{2976}{3038} - \frac{1519}{3038}$

   $= -\frac{4495}{3038}$

So, the simplified value of the given expression is $-\frac{4495}{3038}$.