Question

(5x+1 3/10) :1/2=4 1/4

Answer 1

Ответ:x= 33/50

Пошаговое объяснение:

(5x+1 3/10) :1/2=4 1/4

(5x+1 3/10) =4 1/4 *1/2

(5x+1 3/10) = 17/4 *1/2

5x= 17/8 - 1 3/10

5x= 17/8 - 13/10

5x = (17*5 - 13*4)/10

x= 33/50

Answer 2

Let's solve the equation step by step:

(5x + 1 3/10) : (1/2) = 4 1/4

First, convert the mixed number to an improper fraction: 1 3/10 = (10 * 1) + 3 = 13/10

Now the equation becomes: (5x + 13/10) : (1/2) = 4 1/4

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 1/2 is 2/1 (or simply 2): (5x + 13/10) * 2 = 4 1/4

Now, convert the mixed number on the right side to an improper fraction: 4 1/4 = (4 * 4) + 1 = 17/4

The equation becomes: (5x + 13/10) * 2 = 17/4

Distribute the 2 on the left side of the equation: 10x + 26/10 = 17/4

Now, let's eliminate the fractions by multiplying both sides of the equation by a common denominator. The least common multiple of 10 and 4 is 20: 20 * (10x + 26/10) = 20 * (17/4)

This simplifies to: 20x + 52/10 = 85/4

Now, convert the fraction 52/10 to a mixed number: 52/10 = (10 * 5) + 2 = 52/10 = 5 2/10 = 5 1/5

The equation becomes: 20x + 5 1/5 = 85/4

Subtract 5 1/5 from both sides: 20x = 85/4 - 5 1/5

Now, convert 5 1/5 to an improper fraction: 5 1/5 = (5 * 5) + 1 = 26/5

Subtract 26/5 from 85/4 by finding a common denominator of 20: 85/4 - 26/5 = (85 * 5)/(4 * 5) - (26 * 4)/(5 * 4) = 425/20 - 104/20 = 321/20

So, the equation becomes: 20x = 321/20

Finally, solve for x by dividing both sides by 20: x = (321/20) / 20 x = 321 / (20 * 20) x = 321 / 400

So, the solution is: x = 0.8025