Question

3 8/9*(5/7*х-2/5+х) =2 1/4​

Answer 1

Ответ:

Пошаговое объяснение:

3 8/9*(1 5/7х-2/5)=2 1/4

35/9*(12/7х-2/5)=9/4

20/3х-14/9=9/4

20/3х=9/4+14/9

20/3х=81/36+56/36

20/3х=137/36

Х=137/36*3/20

Х=137/240

Answer 2

To solve the equation, we need to find the value of "x." Let's go step-by-step to simplify the expression and solve for "x":

Step 1: Distribute the 3 8/9 to the terms inside the parentheses: 3 8/9 * (5/7 * x - 2/5 + x) = 2 1/4

Step 2: Convert the mixed numbers to improper fractions: 73/9 * (5/7 * x - 2/5 + x) = 9/4

Step 3: Distribute the 73/9 to the terms inside the parentheses: 73/9 * (5/7 * x) - 73/9 * (2/5) + 73/9 * x = 9/4

Step 4: Simplify the fractions on the left side of the equation: (365/63) * x - (146/45) + (73/9) * x = 9/4

Step 5: Combine the "x" terms on the left side of the equation: (365/63) * x + (73/9) * x - (146/45) = 9/4

Step 6: Find a common denominator for the fractions: The common denominator for 63, 9, and 45 is 315.

Step 7: Rewrite the equation with the common denominator: (365/63) * x + (73/9) * x - (146/45) = (9/4) * 315/315

Step 8: Simplify the right side of the equation: (365/63) * x + (73/9) * x - (146/45) = 2835/1260

Step 9: Combine the "x" terms on the left side of the equation: (365/63 + 73/9) * x - 146/45 = 2835/1260

Step 10: Find a common denominator for the fractions in the "x" terms: The common denominator for 63 and 9 is 63.

Step 11: Rewrite the equation with the common denominator: (365/63 + 511/63) * x - 146/45 = 2835/1260

Step 12: Combine the "x" terms on the left side of the equation: (876/63) * x - 146/45 = 2835/1260

Step 13: Convert the whole numbers to fractions with the common denominator: (876/63) * x - (146/45) * (63/63) = 2835/1260

Step 14: Simplify the right side of the equation: (876/63) * x - 63/45 = 2835/1260

Step 15: Add (63/45) to both sides to isolate the "x" term: (876/63) * x = 2835/1260 + 63/45

Step 16: Find a common denominator for the fractions on the right side: The common denominator for 1260 and 45 is 1260.

Step 17: Rewrite the equation with the common denominator: (876/63) * x = (2835/1260) * 1260/1260 + (63/45) * 28/28

Step 18: Simplify the right side of the equation: (876/63) * x = 2835 + 63

Step 19: Combine the terms on the right side of the equation: (876/63) * x = 2898

Step 20: To solve for "x," divide both sides by (876/63): x = 2898 / (876/63)

Step 21: Invert and multiply to divide fractions: x = 2898 * (63/876)

Step 22: Simplify the fraction: x = 2079 / 292

So, the value of "x" that satisfies the equation is:

x = 2079 / 292 or approximately 7.1233 (rounded to four decimal places).