Question

98/100:x + 8/15= 10 1/3

Answer 1

Пошаговое объяснение:

98/100:х+8/15=10 1/3 х≠0

98/100×1/х+8/15=31/3

49/50×1/х=31/3-8/15

49/50х=(155-8)/15

49/50х=147/15

49/50х=49/5

50х=5

Х=5/50

Х=1/10=0,1 х≠0

Ответ : х=0,1

Answer 2

Ответ:

х = 1/10

Пошаговое объяснение:

98/100:x + 8/15= 10 1/3

98/100 : х + 8/15 = 31/3

х = 98/100 : (31/3 - 8/15)

х = 98/100 : (155/15 - 8/15)

х = 98/100 : 147/15 = 98/100 * 15/147

х = 3/30 = 1/10

Answer 3

To solve the equation $\frac{98}{100}x + \frac{8}{15} = 10 \frac{1}{3}$, you can follow these steps:

Step 1: Simplify the fractions on the left side of the equation.

$\frac{98}{100}x + \frac{8}{15} = 10 \frac{1}{3}$

First, simplify the fractions:

$\frac{49}{50}x + \frac{8}{15} = 10 \frac{1}{3}$

Step 2: Convert the mixed number on the right side to an improper fraction.

$\frac{49}{50}x + \frac{8}{15} = \frac{31}{3}$

Step 3: To get rid of the fractions, find a common denominator. In this case, the common denominator is 150, so you need to rewrite each fraction with that denominator.

$\frac{3}{3} \cdot \frac{49}{50}x + \frac{10}{10} \cdot \frac{8}{15} = \frac{50}{50} \cdot \frac{31}{3}$

This gives:

$\frac{147}{150}x + \frac{80}{150} = \frac{1550}{150}$

Step 4: Combine the fractions on the left side of the equation.

$\frac{147}{150}x + \frac{80}{150} = \frac{1550}{150}$

$\frac{147x + 80}{150} = \frac{1550}{150}$

Step 5: Now that both sides of the equation have the same denominator, you can equate the numerators.

$147x + 80 = 1550$

Step 6: Subtract 80 from both sides to isolate 147x.

$147x = 1550 - 80$

$147x = 1470$

Step 7: Divide both sides by 147 to solve for x.

$x = \frac{1470}{147}$

$x = 10$

So, the solution to the equation is $x = 10$.

Answer 4

To solve the equation $\frac{98}{100}x + \frac{8}{15} = 10\frac{1}{3},$ you can follow these steps:

Step 1: Convert the mixed number $10\frac{1}{3}$ to an improper fraction.

$$10\frac{1}{3} = \frac{31}{3}$$

Step 2: Subtract $\frac{8}{15}$ from both sides of the equation.

$$\frac{98}{100}x = \frac{31}{3} - \frac{8}{15}$$

Step 3: Find a common denominator for $\frac{31}{3}$ and $\frac{8}{15}$. In this case, the common denominator is 15.

$$\frac{98}{100}x = \frac{31 \cdot 5}{3 \cdot 5} - \frac{8}{15}$$

Step 4: Simplify the fractions with the common denominator.

$$\frac{98}{100}x = \frac{155}{15} - \frac{8}{15}$$

Step 5: Subtract the fractions on the right side.

$$\frac{98}{100}x = \frac{155 - 8}{15}$$

$$\frac{98}{100}x = \frac{147}{15}$$

Step 6: Simplify both sides by reducing the fractions.

$$\frac{49}{50}x = \frac{147}{15}$$

Step 7: To solve for $x$, multiply both sides by the reciprocal of $\frac{49}{50}$, which is $\frac{50}{49}$.

$$x = \frac{147}{15} \times \frac{50}{49}$$

Step 8: Simplify the right side to find the value of $x$.

$$x = \frac{147 \cdot 50}{15 \cdot 49}$$

$$x = \frac{7350}{735}$$

Step 9: Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 735.

$$x = \frac{7350/735}{735/735}$$

$$x = \frac{10}{1}$$

So, $x = 10$.