Question

(4 1/5-2 3/4)•2 2/19(7 5/12-3 1/6)•2 2/17​

Answer 1

Ответ:................

Answer 2

To simplify the expression, you can follow these steps:

Step 1: Convert mixed numbers to improper fractions.

$4 \frac{1}{5}$ as an improper fraction is $4 \frac{1}{5} = \frac{4 \cdot 5 + 1}{5} = \frac{20 + 1}{5} = \frac{21}{5}$.

$2 \frac{3}{4}$ as an improper fraction is $2 \frac{3}{4} = \frac{2 \cdot 4 + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4}$.

$7 \frac{5}{12}$ as an improper fraction is $7 \frac{5}{12} = \frac{7 \cdot 12 + 5}{12} = \frac{84 + 5}{12} = \frac{89}{12}$.

$3 \frac{1}{6}$ as an improper fraction is $3 \frac{1}{6} = \frac{3 \cdot 6 + 1}{6} = \frac{18 + 1}{6} = \frac{19}{6}$.

Step 2: Perform the operations inside the parentheses.

$\frac{21}{5} - \frac{11}{4} = \frac{21 \cdot 4 - 11 \cdot 5}{5 \cdot 4} = \frac{84 - 55}{20} = \frac{29}{20}$.

$\frac{89}{12} - \frac{19}{6} = \frac{89 \cdot 6 - 19 \cdot 12}{12 \cdot 6} = \frac{534 - 228}{72} = \frac{306}{72} = \frac{153}{36} = \frac{51}{12} = \frac{17}{4}$.

Step 3: Multiply the results.

$\frac{29}{20} \cdot \frac{17}{4} = \frac{29 \cdot 17}{20 \cdot 4} = \frac{493}{80}$.

Step 4: Multiply the final result by $2 \frac{2}{19} \cdot 2 \frac{2}{17}$.

To multiply mixed numbers, first convert them to improper fractions:

$2 \frac{2}{19}$ as an improper fraction is $2 \frac{2}{19} = \frac{2 \cdot 19 + 2}{19} = \frac{38 + 2}{19} = \frac{40}{19}$.

$2 \frac{2}{17}$ as an improper fraction is $2 \frac{2}{17} = \frac{2 \cdot 17 + 2}{17} = \frac{34 + 2}{17} = \frac{36}{17}$