Question

((2 2/3)в кубе :28 4/9+2,2)*75/96-4,25-5/7

Answer 1

Ответ:

Пошаговое объяснение:

(2 2/3)^3 =(8/3)^3=512/27

512/27:28 4/9=512/27*9/256=2/3

2/3+2,2=2/3+2 1/5=10/15+2 3/15=

2 13/15

2 13/15*75/96=43/15*75/96=215/96=

2 23/96

2 23/96-4,25=2 23/96-4 1/4=2 23/96-

4 24/96=-2 1/96

-2 1/96-5/7=-2 7/672-480/672=

-2 487/672

Answer 2

Let's solve the expression step by step:

Step 1: Calculate the value inside the parenthesis.

(2 2/3) in the cube: First, convert the mixed number 2 2/3 to an improper fraction: 2 2/3 = (2 * 3 + 2) / 3 = 8 / 3

Now, raise (2 2/3) to the power of 3: (8/3)^3 = (8^3) / (3^3) = 512 / 27

Step 2: Add 28 4/9 and 2.2 First, convert the mixed number 28 4/9 to an improper fraction: 28 4/9 = (28 * 9 + 4) / 9 = 256 / 9

Now, add 256 / 9 and 2.2: 256/9 + 2.2 = (256/9) + (22/10) = (2560/90) + (198/90) = 2758/90

Step 3: Multiply by 75/96 Multiply the result from Step 2 by 75/96: (2758/90) * (75/96) = (2758 * 75) / (90 * 96) = 206850 / 8640

Step 4: Subtract 4.25 Subtract 4.25 from the result from Step 3: (206850 / 8640) - 4.25 = (206850 - 4.25 * 8640) / 8640 = (206850 - 36840) / 8640 = 170010 / 8640

Step 5: Subtract 5/7 First, convert the whole number 5 to a fraction with the denominator 7: 5 = 5/1

Now, find a common denominator (7) for the previous result (170010/8640) and (5/7): (170010/8640) - (5/7) To have a common denominator, multiply the first fraction by 7/7: = (170010/8640) * (7/7) - (5/7) = (1190070/60480) - (5/7)

Step 6: Simplify the fraction To subtract fractions, we need a common denominator (60480) for both fractions: = [(1190070) - (5 * 60480)] / 60480 = (1190070 - 302400) / 60480 = 887670 / 60480

Step 7: Simplify the fraction Now, try to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it: GCD(887670, 60480) = 30 = (887670 / 30) / (60480 / 30) = 29589 / 2016

So, the final result is 29589 / 2016.