Question

(5 1/4+0,666......)×0,4 vicislite​

Answer 1

Ответ:

0.7764

Пошаговое объяснение:

Answer 2

Let's simplify the expression step by step:

$\left(5 \frac{1}{4} + 0.666\ldots\right) \times 0.4$

First, convert the mixed number to an improper fraction:

$5 \frac{1}{4} = \frac{(5 \times 4) + 1}{4} = \frac{20 + 1}{4} = \frac{21}{4}$

Now substitute this back into the original expression:

$\left(\frac{21}{4} + 0.666\ldots\right) \times 0.4$

Combine the fraction and the decimal:

$\frac{21}{4} + 0.666\ldots = \frac{21}{4} + \frac{2}{3}$

To add these fractions, find a common denominator, which in this case is 12:

$\frac{21}{4} + \frac{2}{3} = \frac{21 \times 3}{4 \times 3} + \frac{2 \times 4}{3 \times 4}$

$= \frac{63}{12} + \frac{8}{12}$

Now add the fractions:

$\frac{63}{12} + \frac{8}{12} = \frac{71}{12}$

Now, substitute this back into the original expression:

$\frac{71}{12} \times 0.4$

To multiply, simply multiply the numerators and denominators:

$\frac{71 \times 4}{12 \times 1} \times 0.4$

$= \frac{284}{12} \times 0.4$

Now, simplify the fraction:

$\frac{284}{12} = \frac{142}{6} = \frac{71}{3}$

Finally, multiply by 0.4:

$\frac{71}{3} \times 0.4$

To multiply a fraction by a decimal, multiply the numerator by the decimal:

$\frac{71 \times 0.4}{3}$

$= \frac{28.4}{3}$

So, the result is $\frac{28.4}{3}$ or approximately 9.467.