Question

1) - 49 : 2 4/5 = 2) -2 13/25 : 2 7/10 =3) -9 4/13 : (-1 5/39) =4) 5 1/3 * 1 1/7 * (-3/4)*(-2/7 )=

Answer 1

Ответ:

1) - 49/1 * 5/14 = - 35/2= -17 1/2

2) - 63/25 * 10/27 = - 14/15

3) - 121/13 * ( - 39/44)= 33/4 = 8 1/4

4) 5 1/3 * 1 1/7 * (-3/4) * (- 2/7)= 64/49 = 1 15/49

Пошаговое объяснение:

Answer 2

To solve these arithmetic expressions, let's take them one by one:

1. $- 49 : 2 \frac{4}{5}$

To divide by a mixed fraction, it's often easier to convert the mixed fraction into an improper fraction.

$2 \frac{4}{5} = \frac{(2 \times 5) + 4}{5} = \frac{14}{5}$

Now, we can rewrite the expression as:

$- 49 \div \frac{14}{5}$

To divide by a fraction, we can multiply by its reciprocal:

$- 49 \times \frac{5}{14} = - \frac{49 \times 5}{14} = - \frac{245}{14} = - \frac{35}{2}$

So, the result of the expression is $- \frac{35}{2}$.

2. $-2 \frac{13}{25} : 2 \frac{7}{10}$

Convert the mixed fractions to improper fractions:

$-2 \frac{13}{25} = - \frac{(2 \times 25) + 13}{25} = - \frac{63}{25}$

$2 \frac{7}{10} = \frac{(2 \times 10) + 7}{10} = \frac{27}{10}$

Now, we can rewrite the expression as:

$- \frac{63}{25} \div \frac{27}{10}$

To divide by a fraction, we can multiply by its reciprocal:

$- \frac{63}{25} \times \frac{10}{27} = - \frac{63 \times 10}{25 \times 27} = - \frac{630}{675} = - \frac{14}{15}$

So, the result of the expression is $- \frac{14}{15}$.

3. $-9 \frac{4}{13} : (-1 \frac{5}{39})$

Convert the mixed fractions to improper fractions:

$-9 \frac{4}{13} = - \frac{(9 \times 13) + 4}{13} = - \frac{121}{13}$

$-1 \frac{5}{39} = - \frac{(1 \times 39) + 5}{39} = - \frac{44}{39}$

Now, we can rewrite the expression as:

$- \frac{121}{13} \div - \frac{44}{39}$

Remember that dividing by a negative number is the same as multiplying by its positive reciprocal:

$- \frac{121}{13} \times - \frac{39}{44} = \frac{121 \times 39}{13 \times 44} = \frac{4719}{572}$

So, the result of the expression is $\frac{4719}{572}$.

4. $5 \frac{1}{3} \times 1 \frac{1}{7} \times \left(-\frac{3}{4}\right) \times \left(-\frac{2}{7}\right)$