Question

Решите пж 1)15+9 5 /6+(-2 1/3) 2)1 2/9+3 5/18+(-5) 3)4 7/9-3*5/54

Answer 1

Ответ:

Пошаговое объяснение:

1)15+9 5 /6+(-2 1/3) =15+9 5\6-2 2\6=22 1\2

2)1 2/9+3 5/18+(-5)=1 4\18+3 5/18-5=-9\18=-1\2

3)4 7/9-3*5/54=4 7\9-5\18=4 14\18-5\18=4 1\2

Answer 2

Sure, let's solve the expressions step by step:

1. $15 + \frac{9}{5} - \frac{6}{2} + (-2) + \frac{1}{3}$ First, let's do the arithmetic operations inside the parentheses and fractions: $15 + \frac{9}{5} - 3 + (-2) + \frac{1}{3}$

Next, let's combine the whole numbers and fractions: $15 + \frac{9}{5} - 3 + \frac{1}{3} - 2$

Now, let's find a common denominator for the fractions: $15 + \frac{27}{15} - \frac{9}{15} + \frac{5}{15} - 2$

Combine the fractions: $15 + \frac{23}{15} - 2$

Now, add the whole number and fraction together: $15 + \frac{23}{15} - \frac{30}{15}$

Finally, perform the addition and subtraction: $15 - \frac{7}{15} = \frac{224}{15} \approx 14.93$

2. $1\frac{2}{9} + \frac{3}{5} - \frac{5}{18}$ Let's first convert the mixed number to an improper fraction: $1\frac{2}{9} = \frac{11}{9}$

Now, add the fractions together: $\frac{11}{9} + \frac{3}{5} - \frac{5}{18}$

To add fractions, we need to find a common denominator: The common denominator for 9, 5, and 18 is 90.

Now, convert each fraction to have a denominator of 90: $\frac{11}{9} \times \frac{10}{10} = \frac{110}{90}$ $\frac{3}{5} \times \frac{18}{18} = \frac{54}{90}$ $\frac{5}{18} \times \frac{5}{5} = \frac{25}{90}$

Now, the expression becomes: $\frac{110}{90} + \frac{54}{90} - \frac{25}{90}$

Combine the fractions: $\frac{110 + 54 - 25}{90} = \frac{139}{90} \approx 1.55$

3. $4\frac{7}{9} - 3 \times \frac{5}{54}$ First, convert the mixed number to an improper fraction: $4\frac{7}{9} = \frac{40}{9}$

Now, perform the multiplication: $\frac{40}{9} - 3 \times \frac{5}{54}$

To multiply fractions, we simply multiply the numerators and denominators: $\frac{40}{9} - \frac{15}{54}$