Question

10 11/24 - x = 6 7/16 (x = 2,4) - 5 1/2 = 3 7/50

Answer 1

Відповідь:

10 11/24 - x = 6 7/16

$10\frac{11}{24} -x=6\frac{7}{16}$

$\frac{251}{24} -x=\frac{103}{16}$

$x=\frac{251}{24} -\frac{103}{16}$

$x=\frac{251*2-103*3}{48}$

$x=\frac{502-309}{48} =\frac{193}{48} =4\frac{1}{48}$

(x - 2,4) - 5 1/2 = 3 7/50

$(x-2.4)-5\frac{1}{2} =3\frac{7}{50}$

(х-2,4)-5,5=3,14

х-2,4=3,14+5,5

х-2,4=8,64

х=8,64+2,4

х=11,04

(11,04-2,4)-5,5=3,14

8,64-5,5=3,14

3,14=3,14

Answer 2

Let's solve the equation step by step:

1. Start with the equation: 10 11/24 - x = 6 7/16

2. To isolate 'x,' we need to get 'x' on one side of the equation. Start by subtracting 10 11/24 from both sides:

   (10 11/24 - x) - 10 11/24 = (6 7/16) - 10 11/24

3. Simplify both sides of the equation:

   -x = -4 15/24

4. To make 'x' positive, multiply both sides by -1:

   x = 4 15/24

Now, let's move on to the second equation:

1. Start with the equation: 4 15/24 - 5 1/2

2. Convert the mixed numbers to improper fractions: (99/24) - (11/2)

3. Find a common denominator, which is 24: (99/24) - (12/24)

4. Subtract the fractions: (99 - 12) / 24 = 87/24

5. Convert the improper fraction back to a mixed number: 87/24 = 3 15/24

6. Further simplify the mixed number: 3 15/24 = 3 5/8

So, the solution to the second equation is: 4 15/24 - 5 1/2 = 3 5/8

Now, you have the solutions for both equations: x = 4 15/24 4 15/24 - 5 1/2 = 3 5/8