Question

4 2/3×(3 8/21)+(-8 5/6 - 4 4/5)÷3 3/10=

Answer 1

Ответ:

$4\frac{2}{3} *(3\frac{8}{21} ) + (-8\frac{5}{6} - 4\frac{4}{5} ) : 3\frac{3}{10} = \frac{14}{3} * \frac{71}{21} + ((-8 - 4) + (-\frac{5}{6} - \frac{4}{5} )) : \frac{33}{10} = \frac{142}{9} - 12 \frac{49}{30}: \frac{33}{10}$

$= \frac{142}{9} - \frac{409}{30} * \frac{10}{33} = \frac{142}{9} - \frac{409}{99} = \frac{1562 - 409}{99} = \frac{1153}{99}= 11\frac{64}{99}$

Answer 2

Ответ:

Пошаговое объяснение:

$4\frac{2}{3} *(3\frac{8}{21} )+(-8\frac{5}{6} -4\frac{4}{5} ):3\frac{3}{10} =\\1)-8\frac{5}{6} -4\frac{4}{5} =-\frac{53}{6} -\frac{24}{5} =-\frac{265}{30} -\frac{144}{30}=-\frac{409}{30} \\2)4\frac{2}{3} *3\frac{8}{21}=\frac{14}{3} *\frac{71}{21} =\frac{142}{9}\\ 3)-\frac{409}{30} :3\frac{3}{10} =-\frac{409}{30} :\frac{33}{10} =-\frac{409}{30} *\frac{10}{33} =-\frac{409}{99} \\4)\frac{142}{9} +(-\frac{409}{99})=\frac{1562}{99} -\frac{409}{99} = \frac{1153}{99} =11\frac{64}{99}$

Answer 3

Let's solve the expression step by step:

Step 1: Convert all mixed numbers into improper fractions.

4 2/3 = (3 * 4 + 2)/3 = 14/3 3 8/21 = (21 * 3 + 8)/21 = 71/21 -8 5/6 = -(6 * 8 + 5)/6 = -53/6 -4 4/5 = -(5 * 4 + 4)/5 = -24/5 3 3/10 = (10 * 3 + 3)/10 = 33/10

Step 2: Perform the multiplication and addition.

4 2/3 × (3 8/21) + (-8 5/6 - 4 4/5) ÷ 3 3/10

= (14/3) × (71/21) + (-53/6 - 24/5) ÷ (33/10)

Step 3: Multiply fractions and add.

To multiply fractions, you simply multiply the numerators together and multiply the denominators together:

(14/3) × (71/21) = (14 * 71) / (3 * 21) = 994 / 63

To subtract fractions, find a common denominator (in this case, 30):

Common denominator for -53/6 and -24/5 is 30.

-53/6 = - (53/6) * (5/5) = -265/30 -24/5 = - (24/5) * (6/6) = -144/30

Now, subtract:

-265/30 - 144/30 = -409/30

Step 4: Divide fractions.

To divide fractions, multiply by the reciprocal of the divisor:

(-409/30) ÷ (33/10) = (-409/30) * (10/33) = -4090 / 990

Step 5: Add the results from Step 2 and Step 4.

994/63 + (-4090/990)

Step 6: Find a common denominator to add the fractions.

The common denominator for 63 and 990 is 63 * 990 = 62370.

Now, convert both fractions to have a common denominator:

(994 * 990) / 62370 + (-4090 * 63) / 62370

994 * 990 = 986460 -4090 * 63 = -257670

So, the expression simplifies to:

(986460 - 257670) / 62370 = 728790 / 62370

Step 7: Simplify the fraction, if possible.

To simplify, find the greatest common divisor (GCD) between the numerator and the denominator and divide both by the GCD:

GCD(728790, 62370) = 90

728790 ÷ 90 = 8097 62370 ÷ 90 = 693

Therefore, the final result is:

8097 / 693 ≈ 11.66 (rounded to two decimal places)