Question

A) 6-3/5*(5/12-5/6) B) 4-2,5(6+2/5)

Answer 1

6 - 3/5 (5/12 - 5/6) = 6 - 3/5 ( - 5/12) = 6 + 1/4 = 25/4

4 - 2,5 (6 + 2/5) = 4 - 5/2 × 32/5 = - 12

Вот такой ответ! удачи)

Answer 2

Let's solve these mathematical expressions step by step:

A) $6 - \frac{3}{5} \cdot \left(\frac{5}{12} - \frac{5}{6}\right)$

First, calculate the values within the parentheses:

$\frac{5}{12} - \frac{5}{6} = \frac{5}{12} - \frac{10}{12} = -\frac{5}{12}$

Now substitute this value back into the original expression:

$6 - \frac{3}{5} \cdot \left(-\frac{5}{12}\right)$

Next, multiply the fractions:

$-\frac{3}{5} \cdot \left(-\frac{5}{12}\right) = \frac{3 \cdot 5}{5 \cdot 12} = \frac{15}{60} = \frac{1}{4}$

Substitute this back into the expression:

$6 - \frac{1}{4}$

Finally, subtract the fraction from 6:

$6 - \frac{1}{4} = \frac{24}{4} - \frac{1}{4} = \frac{24 - 1}{4} = \frac{23}{4}$

So, the result of expression A is $\frac{23}{4}$, which is $5.75$ in decimal form.

B) $4 - 2.5 \cdot \left(6 + \frac{2}{5}\right)$

First, calculate the value within the parentheses:

$6 + \frac{2}{5} = \frac{30}{5} + \frac{2}{5} = \frac{32}{5}$

Now substitute this value back into the original expression:

$4 - 2.5 \cdot \frac{32}{5}$

Next, multiply the decimal and fraction:

$2.5 \cdot \frac{32}{5} = \frac{2.5 \cdot 32}{5} = \frac{80}{5} = 16$

Substitute this back into the expression:

$4 - 16$

Finally, subtract 16 from 4:

$4 - 16 = -12$

So, the result of expression B is $-12$.

To summarize: A) The result of expression A is $5.75$ or $\frac{23}{4}$. B) The result of expression B is $-12$.