Question

2) 11 7/9+y=13 1/18 4) 60 2/5– y = 57 3/4

Answer 1

Пошаговое объяснение:

сори за почерк:)

ответ к первому

Answer 2

To solve the equations, let's first deal with the fractions and then isolate the variable "y" on one side of the equation.

1. 11 7/9 + y = 13 1/18

Step 1: Convert mixed numbers to improper fractions. 11 7/9 = (9 * 11 + 7) / 9 = 106 / 9 13 1/18 = (18 * 13 + 1) / 18 = 235 / 18

Step 2: Now, the equation becomes: 106 / 9 + y = 235 / 18

Step 3: Find a common denominator to combine the fractions. The least common multiple of 9 and 18 is 18.

Step 4: Rewrite the equation with a common denominator of 18: (106 / 9) * (2 / 2) + y = 235 / 18 (212 / 18) + y = 235 / 18

Step 5: Combine the fractions on the left side of the equation: (212 + 18y) / 18 = 235 / 18

Step 6: Now, isolate the variable "y" by multiplying both sides by 18: 212 + 18y = 235

Step 7: Finally, solve for "y": 18y = 235 - 212 18y = 23 y = 23 / 18

So, the solution to the first equation is: y = 23 / 18 or approximately 1.2778

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2. 60 2/5 - y = 57 3/4

Step 1: Convert mixed numbers to improper fractions. 60 2/5 = (5 * 60 + 2) / 5 = 302 / 5 57 3/4 = (4 * 57 + 3) / 4 = 231 / 4

Step 2: Now, the equation becomes: 302 / 5 - y = 231 / 4

Step 3: Find a common denominator to combine the fractions. The least common multiple of 5 and 4 is 20.

Step 4: Rewrite the equation with a common denominator of 20: (302 / 5) * (4 / 4) - y = (231 / 4) * (5 / 5) (1208 / 20) - y = 1155 / 20

Step 5: Combine the fractions on the left side of the equation: (1208 - 20y) / 20 = 1155 / 20

Step 6: Now, isolate the variable "y" by multiplying both sides by 20: 1208 - 20y = 1155

Step 7: Finally, solve for "y": -20y = 1155 - 1208 -20y = -53 y = -53 / -20 y = 53 / 20

So, the solution to the second equation is: y = 53 / 20 or 2.65