Question

(83.2-89целых1/6)×3/13

Answer 1

$( 83,2-89 \frac{1}{6})* \frac{3}{13}= ( 83 \frac{1}{5} -89 \frac{1}{6})* \frac{3}{13}= ( 83 \frac{6}{30} -89 \frac{5}{30})* \frac{3}{13}=$ $=-5 \frac{29}{30} * \frac{3}{13} =- \frac{179}{30} * \frac{3}{13}=- \frac{179}{10} * \frac{1}{13}=- \frac{179}{130} =-1 \frac{49}{130}$

Answer 2

To solve the expression (83.2 - 89 1/6) × (3/13), we need to follow the order of operations, which is parentheses, multiplication, and division.

First, let's simplify the subtraction inside the parentheses: 89 1/6 is an improper fraction, which can be converted to a mixed fraction as follows: 89 1/6 = (89 * 6 + 1) / 6 = 535 / 6

Now, we can substitute this back into the expression: (83.2 - 535/6) × (3/13)

Next, we need to find a common denominator for the subtraction: The denominator of 6 can be multiplied by 13 to get a common denominator of 78: (83.2 * 78/78 - 535/6) × (3/13)

Now, we can simplify the expression further: (6477.6/78 - 535/6) × (3/13)

To subtract the fractions, we need a common denominator of 78 * 6 = 468: (6477.6/78 - 89,775/468) × (3/13)

Now, we can subtract the fractions: (6477.6 * 6/78 - 89,775/468) × (3/13)

Simplifying the subtraction gives us: (4195.2/78 - 89,775/468) × (3/13)

To subtract the fractions, we need a common denominator of 78 * 468 = 36,504: (4195.2 * 468/36,504 - 89,775/468) × (3/13)

Subtracting the fractions gives us: (1,960,313.6/36,504 - 89,775/468) × (3/13)

Now, let's find a common denominator for the subtraction: The denominator of 468 can be multiplied by 78 to get a common denominator of 36,504: (1,960,313.6 * 78/36,504 - 89,775/468) × (3/13)

Subtracting the fractions gives us: (152,619,008.8/36,504 - 89,775/468) × (3/13)

To subtract the fractions, we need a common denominator of 36,504 * 468 = 17,093,472: (152,619,008.8 * 468/17,093,472 - 89,775/468) × (3/13)

Finally, we can simplify the subtraction: (71,488,244,742.4/17,093,472 - 89,775/468) × (3/13)

Now, we can subtract the fractions: (71,488,244,742.4/17,093,472 - 38,052,375/17,093,472) × (3/13)

Subtracting the fractions gives us: 33,435,869,367.4/17,093,472 × (3/13)

Now, we can multiply the fractions: (33,435,869,367.4 × 3) / (17,093,472 × 13)

Calculating the numerator and denominator separately gives us: 100,307,608,102.2 / 222,210,136

So, the simplified expression is approximately 0.451 (rounded to three decimal places).