Question

4 2/25-1 4/5x=2 3/10

Answer 1

Ответ: х = 89/90

Подробное решение:

102/25 - 9/5x = 23/10

204 - 90x = 115

-90x = 115 - 204

-90x = -89

x = 89/90

Answer 2

Ответ:

Объяснение:

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Answer 3

To solve the equation 4 2/25 - 1 4/5x = 2 3/10, follow these steps:

Step 1: Convert all mixed numbers to improper fractions.

• 4 2/25 = (4 * 25 + 2)/25 = (100 + 2)/25 = 102/25
• 1 4/5 = (1 * 5 + 4)/5 = (5 + 4)/5 = 9/5
• 2 3/10 = (2 * 10 + 3)/10 = (20 + 3)/10 = 23/10

So, the equation becomes: 102/25 - (9/5)x = 23/10

Step 2: Get rid of fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 50 in this case.

(50) * (102/25) - (50) * (9/5)x = (50) * (23/10)

Step 3: Simplify each term.

• (50) * (102/25) = (50/25) * 102 = 2 * 102 = 204
• (50) * (9/5)x = (50/5) * 9x = 10 * 9x = 90x
• (50) * (23/10) = (50/10) * 23 = 5 * 23 = 115

So, the equation now becomes:

204 - 90x = 115

Step 4: Isolate the variable x.

First, subtract 204 from both sides of the equation:

204 - 204 - 90x = 115 - 204

-90x = -89

Step 5: Solve for x by dividing both sides by -90:

(-90x)/(-90) = (-89)/(-90)

x = 89/90

So, the solution to the equation is:

x = 89/90