Question

4 2/15-3 1/9x =1 4/5

Answer 1

Ответ:

3/4

Пошаговое объяснение:

Answer 2

To solve the equation 4 2/15 - 3 1/9x = 1 4/5, we need to find the value of x. Let's break down the steps:

Step 1: Convert all the mixed numbers to improper fractions. 4 2/15 can be written as an improper fraction as (4 * 15 + 2)/15 = 62/15. 3 1/9 can be written as an improper fraction as (3 * 9 + 1)/9 = 28/9. 1 4/5 can be written as an improper fraction as (1 * 5 + 4)/5 = 9/5.

So the equation becomes: 62/15 - 28/9 * x = 9/5.

Step 2: Multiply both sides by the least common multiple (LCM) of the denominators to eliminate the fractions.

The LCM of 15 and 9 is 45, so we multiply all terms by 45: 45 * (62/15) - 45 * (28/9) * x = 45 * (9/5).

Step 3: Simplify the equation. 45 * (62/15) is 186. 45 * (28/9) is 140x. 45 * (9/5) is 81.

So the equation now becomes: 186 - 140x = 81.

Step 4: Isolate x on one side of the equation. Subtract 186 from both sides to get: -140x = 81 - 186.

Step 5: Simplify further. -140x = -105.

Step 6: Solve for x. Divide both sides by -140 to get: x = -105 / -140.

Step 7: Simplify the fraction. x = 3/4.

So the solution to the equation is x = 3/4.