Question

(-2 5/8-3 1/16+4 1/4)×(-1,6)-3/10​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Let's break down the expression step by step:

First, let's calculate the sum inside the parentheses:

$(-2 \frac{5}{8}) - (3 \frac{1}{16}) + (4 \frac{1}{4})$

To perform this calculation, we'll convert all the mixed numbers to improper fractions:

$-\left(\frac{16}{8} + \frac{5}{8}\right) - \left(\frac{48}{16} + \frac{1}{16}\right) + \left(\frac{17}{4}\right)$

$= -\left(\frac{21}{8}\right) - \left(\frac{49}{16}\right) + \left(\frac{17}{4}\right)$

Next, let's calculate the value of this expression:

$= -\frac{21}{8} - \frac{49}{16} + \frac{17}{4}$

To combine the fractions, we need a common denominator, which is 16:

$= -\frac{42}{16} - \frac{49}{16} + \frac{68}{16}$

$= -\frac{42 + 49 + 68}{16}$

$= -\frac{159}{16}$

Now, let's proceed with the rest of the calculation:

$-\frac{159}{16} \times (-1.6) - \frac{3}{10}$

To multiply by $-1.6$, we can simplify by multiplying the numerator of the fraction by $-1.6$:

$= \frac{159 \times 1.6}{16} - \frac{3}{10}$

$= \frac{254.4}{16} - \frac{3}{10}$

Now, let's convert $\frac{254.4}{16}$ to a mixed number:

$\frac{254.4}{16} = 15.9$

So, the expression becomes:

$= 15 \frac{9}{10} - \frac{3}{10}$

Now, let's subtract the fractions:

$= 15 \frac{6}{10}$

$= 15 \frac{3}{5}$

Therefore, $(-2 \frac{5}{8} - 3 \frac{1}{16} + 4 \frac{1}{4}) \times (-1.6) - \frac{3}{10}$ is equal to $15 \frac{3}{5}$.