Question

12 * (1 3/4х + 5/8)=8 1/2​

Answer 1

12 * (1 3/4х + 5/8) = 8 1/2

1 3/4x + 5/8 =8 1/2 : 12

1 3/4x + 5/8 = 17/2 * 1/12

1 3/4x + 5/8 = 17/24

1 3/4x = 17/24 - 5/8

1 3/4x = 17/24 - 15/24

1 3/4x = 1/12

x = 1/12 : 1 3/4

x = 1/12 * 4/7

x = 1/21

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12 * (1 3/4х + 5/8) = 8 1/2

12 *(7/4x + 5/8) = 17/2

21x+ 15/2 =17/2

21x = 17/2 - 15/2

21x = 1

x=1:21

наверное

Answer 2

Ответ: х=   3/13.

Пошаговое объяснение:

12 * (1 3/4х + 5/8)=8 1/2​.

1  3/4х  +5/8  =  8  1/2  :  12.

13/4 х+ 5/8  =17/2*1/12.

13/4х  +  5/8  =  17/24.

13/4х=17/24 -5/8.

13/4х =    (17-15)/24.

13/4х=  2/24=1/12

х= 1/12 :  13/4.

х =  1/12  *  4/13 =1*4/12*13.

х  =  3/13.

Answer 3

To solve the equation $12 \cdot \left(1 \frac{3}{4}x + \frac{5}{8}\right) = 8 \frac{1}{2},$ you can follow these steps:

Step 1: Distribute the 12 on the left side of the equation:

$12 \cdot 1 \frac{3}{4}x + 12 \cdot \frac{5}{8} = 8 \frac{1}{2}.$

Step 2: Simplify the fractions:

$12 \cdot \left(\frac{4}{4} \cdot 1 \frac{3}{4}x + \frac{5}{8}\right) = 8 \frac{1}{2}.$

This becomes:

$12 \cdot \left(\frac{4}{4} \cdot \frac{7}{4}x + \frac{5}{8}\right) = 8 \frac{1}{2}.$

Step 3: Further simplify the fractions inside the parentheses:

$12 \cdot \left(\frac{28}{16}x + \frac{5}{8}\right) = 8 \frac{1}{2}.$

Step 4: Now, multiply both sides of the equation by $\frac{16}{28}$ to eliminate the fraction on the left side:

$12 \cdot \left(\frac{28}{16}x + \frac{5}{8}\right) \cdot \frac{16}{28} = 8 \frac{1}{2} \cdot \frac{16}{28}.$

Step 5: Simplify both sides of the equation:

$12 \cdot x + \frac{5}{8} \cdot \frac{16}{28} = 4.$

Step 6: Continue simplifying:

$12x + \frac{5}{14} = 4.$

Step 7: Subtract $\frac{5}{14}$ from both sides to isolate $12x$:

$12x = 4 - \frac{5}{14}.$

Step 8: Subtract $\frac{5}{14}$ from 4:

$12x = \frac{56}{14} - \frac{5}{14}.$

Step 9: Combine the fractions on the right side:

$12x = \frac{51}{14}.$

Step 10: Finally, divide both sides by 12 to solve for $x$:

$x = \frac{51}{14} \div 12$

Now, you can simplify this fraction further or convert it to a mixed number if needed:

$x = \frac{51}{14} \div 12 = \frac{17}{14}.$

So, $x = \frac{17}{14}$ or approximately $x \approx 1.2143$.