Question

1)3/16×1/3×(-5 1/3) 2)(-2/19)×(-3/4)×(-9 1/23)7/20×(-3/17)×(-8 2/21)4)(-13/25)×(-5 10/13)×2/3​

Answer 1

Пошаговое объяснение:

1)-1/3

2)-3

3)0,5

4)2

......

Answer 2

Let's calculate each of these expressions step by step:

1. $\frac{3}{16} \times \frac{1}{3} \times (-5 \frac{1}{3})$

To multiply fractions, multiply the numerators together and the denominators together:

$\frac{3 \times 1 \times (-16 \times 3 \times 3)}{16 \times 3 \times 1}$

Simplify:

$\frac{-432}{48}$

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 48:

$\frac{-432 \div 48}{48 \div 48}$

$\frac{-9}{1}$

So, $\frac{3}{16} \times \frac{1}{3} \times (-5 \frac{1}{3}) = -9$

2. $\left(-\frac{2}{19}\right) \times \left(-\frac{3}{4}\right) \times \left(-9 \frac{1}{23}\right) \times \frac{7}{20} \times \left(-\frac{3}{17}\right) \times \left(-8 \frac{2}{21}\right)$

Multiply the numerators together and the denominators together:

$\frac{-2 \times -3 \times -9 \times 7 \times -3 \times -8}{19 \times 4 \times 23 \times 20 \times 17 \times 21}$

Simplify:

$\frac{3024}{7224160}$

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 16:

$\frac{3024 \div 16}{7224160 \div 16}$

$\frac{189}{451510}$

3. $\left(-\frac{13}{25}\right) \times \left(-5 \frac{10}{13}\right) \times \frac{2}{3}$

Multiply the numerators together and the denominators together:

$\frac{-13 \times (-5 \frac{10}{13}) \times 2}{25 \times 3}$

First, convert the mixed number to an improper fraction:

$-5 \frac{10}{13} = -\frac{5 \times 13 + 10}{13} = -\frac{65 + 10}{13} = -\frac{75}{13}$

Now, we can proceed with the multiplication:

$\frac{-13 \times \left(-\frac{75}{13}\right) \times 2}{25 \times 3}$

Simplify:

$\frac{1950}{975}$

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25:

$\frac{1950 \div 25}{975 \div 25}$

$\frac{78}{39}$

Finally, simplify further by dividing both the numerator and denominator by their greatest common divisor, which is 13:

$\frac{78 \div 13}{39 \div 13}$

$\frac{6}{3}$

$6$

So, $\left(-\frac{13}{25}\right) \times \left(-5 \frac{10}{13}\right) \times \frac{2}{3} = 6$