Question

15 2/15 - |X |=7 1/12​

Answer 1

15 2/15 - IX = 2/15= 8/60 - 4 обший множитель, 1/12= 4/60 =, 15 8/60 - 7 4/60= 8 4/60

Answer 2

It seems like you have provided a mathematical expression involving fractions and absolute value with an unknown variable, denoted as "X." Let's break down the expression step by step.

The given expression is: 15 - 2/15 - |X| = 7 1/12

Step 1: Simplify the fractions and mixed numbers 15 can be represented as 15/1, and 7 1/12 can be represented as 85/12.

Step 2: Rewrite the expression with common denominators To add or subtract fractions, they must have the same denominator. The common denominator for 15, 2/15, and 85/12 is 60.

(15/1) - (2/15) - |X| = 85/12

Step 3: Convert the mixed number to an improper fraction (85/12) is already an improper fraction.

Step 4: Combine the fractions on the left side of the equation To subtract 2/15 from 15/1, we need a common denominator of 60:

(900/60) - (4/60) - |X| = 85/12

Step 5: Subtract fractions on the left side (896/60) - |X| = 85/12

Step 6: Convert the fractions to decimals or mixed numbers (optional) The left side of the equation can be simplified further:

14 56/60 - |X| = 85/12

Step 7: Simplify the fractions on the left side We can reduce 56/60 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4:

14 14/15 - |X| = 85/12

Step 8: Isolate the absolute value term Move the fractions to the right side of the equation:

|X| = 85/12 - 14 14/15

Step 9: Convert the mixed number to an improper fraction To subtract 14 14/15 from 85/12, we need a common denominator of 60:

|X| = (85/12) - (860/60)

Step 10: Combine the fractions on the right side (85/12) - (860/60) = (425/60) - (860/60) = -435/60

Step 11: Convert the fraction to a mixed number (optional) -435/60 can be simplified to -7 3/4.

So, the absolute value of X is:

|X| = 7 3/4

Keep in mind that we assumed X is a real number. If you need to solve for the actual value of X, we'll have to consider the two possible cases for the absolute value:

Case 1: X = 7 3/4 Case 2: X = -7 3/4