Question

1/4x+5/12=2 4/5+ 7/10

Answer 1

Решение на фотографии .

Ответ: 12 1/3

Answer 2

To solve the equation 1/4x + 5/12 = 2 4/5 + 7/10, follow these steps:

Step 1: Convert the mixed numbers to improper fractions: 2 4/5 can be written as (2 * 5 + 4)/5 = 14/5 7/10 is already in fraction form.

Step 2: Rewrite the equation with the improper fractions: 1/4x + 5/12 = 14/5 + 7/10

Step 3: Find a common denominator for all the fractions involved. The least common multiple (LCM) of 4, 5, and 12 is 60.

Step 4: Rewrite each fraction with the common denominator (60): (1/4)x + (5/12) * (5/5) = (14/5) * (12/12) + (7/10) * (6/6) (1/4)x + 25/60 = 168/60 + 42/60

Step 5: Combine like terms on the right side of the equation: (1/4)x + 25/60 = (168 + 42)/60 (1/4)x + 25/60 = 210/60

Step 6: Now, subtract 25/60 from both sides to isolate (1/4)x on the left side: (1/4)x = 210/60 - 25/60 (1/4)x = 185/60

Step 7: Finally, solve for x by multiplying both sides by the reciprocal of (1/4), which is 4/1: x = (185/60) * (4/1) x = 740/60 x = 37/3 or approximately 12.33

So, the value of x is 37/3 or approximately 12.33.