Question

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

Answer 1

Ответ:

Пошаговое объяснение:

98/100 : х = 10. 1/3 - 8/15

49/50 : х = 10. 5/15 - 8/15

49/50 : х = 9. 20/15 - 8/15

49/50 : х = 9. 12/15

49/50 : х = 9. 4/5

х = 49/50 : 9. 4/5

х = 49/50 : 49/5

х = 49/50 * 5/49

х = 5/50

х = 1/10

Ответ: 1/10

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 = 1/10

Answer 3

To solve the equation (98/100)x + 8/15 = 10 1/3, you'll want to isolate the variable x.

First, let's convert the mixed number 10 1/3 to an improper fraction.

10 1/3 = 31/3

So the equation becomes:

(98/100)x + 8/15 = 31/3

Now, you can start solving for x.

First, simplify the fractions:

(49/50)x + 8/15 = 31/3

To get rid of the fractions, you can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 150:

150 * [(49/50)x + 8/15] = 150 * (31/3)

Now, simplify:

(3/2)(49/50)x + (10)(8/15) = 50(31)

Multiply each term:

(3/2) * (49/50)x + (4/3) = 1550

Now, simplify further:

(3/2) * (49/50)x + (4/3) = 1550

Now, you can solve for x:

(3/2) * (49/50)x = 1550 - (4/3)

First, subtract (4/3) from 1550:

1550 - (4/3) = 4646/3

Now the equation is:

(3/2) * (49/50)x = 4646/3

To isolate x, divide both sides by [(3/2) * (49/50)]:

x = (4646/3) / [(3/2) * (49/50)]

Now, simplify this expression:

x = (4646/3) / [(3/2) * (49/50)]

To simplify the division, multiply by the reciprocal of the denominator:

x = (4646/3) * [(2/3) * (50/49)]

Now, simplify:

x = (4646/3) * (100/49)

x = (4646 * 100) / (3 * 49)

x = (464600) / 147

Now, simplify the fraction:

x ≈ 3157.14

So, the approximate value of x is 3157.14.