Question

(7/12+11/30 *х):7 1/4=1/3​

Answer 1

Пошаговое объяснение:

7/12+11/30x=1/3*7 1/4

7/12+11/30x=1/3*29/4

7/12+11/30x=29/12

11/30x=29/12-7/12

11/30x=11/6

x=11/6:11/30

x=5

Answer 2

To solve the equation (7/12 + 11/30 * x) / 7 1/4 = 1/3, you'll need to follow these steps:

Step 1: Convert the mixed number 7 1/4 to an improper fraction.

7 1/4 = (4 * 7 + 1) / 4 = (28 + 1) / 4 = 29/4

Step 2: Substitute this value into the equation.

(7/12 + 11/30 * x) / (29/4) = 1/3

Step 3: Invert and multiply to get rid of the fraction on the left side.

(7/12 + 11/30 * x) * (4/29) = 1/3

Step 4: Simplify the left side by multiplying the fractions.

[(7 * 4) / (12 * 29) + (11/30) * (4/29) * x] = 1/3

(28/348 + 44/870 * x) = 1/3

Step 5: Find a common denominator for the fractions on the left side, which is 348.

(28/348 + (44 * 4) / (870 * 4) * x) = 1/3

(28/348 + 176/348 * x) = 1/3

Step 6: Combine the fractions on the left side.

(28 + 176x) / 348 = 1/3

Step 7: To get rid of the fraction on the left side, multiply both sides by 348.

348 * (28 + 176x) / 348 = (1/3) * 348

28 + 176x = 116

Step 8: Now, isolate the variable x.

176x = 116 - 28 176x = 88

x = 88 / 176 x = 1/2

So, the solution to the equation is x = 1/2.