Question

24 1/4+ 8 3/7 =(x:1 1/9)-5 5/12

Answer 1

(х: 11/9) - 5 5/12=  32 19/28
х: 11/9 = 32 19/28 + 5 5/12
х: 11/9= 38 2/21
х=46  106/189

Answer 2

Let's solve the equation step by step:

1. First, add the two fractions on the left side of the equation:

   24 1/4 + 8 3/7

   To add mixed numbers, you can add the whole numbers separately from the fractions:

   Whole numbers: 24 + 8 = 32

   Fractions: 1/4 + 3/7

   To add these fractions, you need a common denominator, which is the least common multiple of 4 and 7, which is 28. So, convert both fractions to have a denominator of 28:

   (1/4) * (7/7) = 7/28 (3/7) * (4/4) = 12/28

   Now you can add the fractions:

   7/28 + 12/28 = 19/28

   Now, put it all together:

   32 + 19/28

2. Next, let's subtract 5 5/12 from the result on the left side of the equation:

   (32 + 19/28) - 5 5/12

   To subtract mixed numbers, you can subtract the whole numbers separately from the fractions:

   Whole numbers: 32 - 5 = 27

   Fractions: 19/28 - 5/12

   To subtract these fractions, you need a common denominator, which is the least common multiple of 28 and 12, which is 84. So, convert both fractions to have a denominator of 84:

   (19/28) * (3/3) = 57/84 (5/12) * (7/7) = 35/84

   Now you can subtract the fractions:

   57/84 - 35/84 = 22/84

   Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 22:

   (22/22) / (84/22) = 1/4

   Now, put it all together:

   27 + 1/4

So, the left side of the equation simplifies to 27 1/4, which is equal to (x:1 1/9) - 5 5/12 on the right side of the equation. To find x, we can set up the equation:

27 1/4 = (x:1 1/9) - 5 5/12

Now, let's solve for x:

1. Add 5 5/12 to both sides of the equation:

   27 1/4 + 5 5/12 = (x:1 1/9)

2. Add the whole numbers separately from the fractions:

   Whole numbers: 27 + 5 = 32

   Fractions: 1/4 + 5/12

   To add these fractions, you need a common denominator, which is 12. So, convert both fractions to have a denominator of 12:

   (1/4) * (3/3) = 3/12 (5/12) * (1/1) = 5/12

   Now you can add the fractions:

   3/12 + 5/12 = 8/12

   Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:

   (8/4) / (12/4) = 2/3

So, x:1 1/9 = 32 2/3

Now, to find x, you can subtract 1 1/9 from both sides of the equation:

x = 32 2/3 - 1 1/9

Let's subtract these mixed numbers:

32 2/3 - 1 1/9

First, subtract the whole numbers: 32 - 1 = 31

Now, subtract the fractions:

2/3 - 1/9

To subtract these fractions, you need a common denominator, which is 9. So, convert both fractions to have a denominator of 9:

(2/3) * (3/3) = 6/9 (1/9) * (1/1) = 1/9

Now you can subtract the fractions:

6/9 - 1/9 = 5/9

So, x = 31 5/9.