Question

1целая 2/3 × 6 - 1целая 23/42 × 3целую 1/13 + 2целых 1/8 × 1целую 29/51=

Answer 1

Решить пример.

$1\dfrac{2}{3} * 6 - 1\dfrac{23}{42} * 3\dfrac{1}{13} + 2\dfrac{1}{8} * 1\dfrac{29}{51} = \dfrac{5*6}{3} - \dfrac{65*40}{42*13} + \dfrac{17*80}{8*51} =\\= 10 - \dfrac{5*20}{21} + \dfrac{10}{3} = 10- \dfrac{100}{21} + \dfrac{10}{3} = 10 - \dfrac{100 - 10*7}{21} =\\= 10 - \dfrac{100 - 70}{21} = 10 - \dfrac{30}{21} = 10 - 1\dfrac{9}{21} = 8\dfrac{12}{21} = 8\dfrac{4}{7}.$

Ответ: $8\dfrac{4}{7}.$

Answer 2

To solve this expression, we need to perform the operations step by step. I'll convert the mixed fractions to improper fractions and then proceed with the calculations:

Step 1: Convert mixed fractions to improper fractions 1целая 2/3 = 5/3 1целая 23/42 = 65/42 3целую 1/13 = 40/13 2целых 1/8 = 17/8 1целая 29/51 = 80/51

Step 2: Perform the multiplications and subtractions 5/3 × 6 = 10 65/42 × 40/13 = 1000/273 17/8 × 80/51 = 1360/408

Step 3: Perform the additions and subtractions 10 - 1000/273 + 1360/408

Now, let's find a common denominator for 273 and 408, which is 11016.

Step 4: Convert fractions to have a common denominator 10 × 11016/11016 = 110160/11016 1000/273 × 40/40 = 40000/11016 1360/408 × 27/27 = 36720/11016

Step 5: Perform the final calculation 110160/11016 - 40000/11016 + 36720/11016

Now, we can add and subtract the fractions with the same denominator: (110160 - 40000 + 36720) / 11016 (110160 - 40000 + 36720) = 106880

So, the final result is: 106880/11016 = 970/99

The result of the expression is 970/99.