Question

4 2/15 * 3 1/3х=1 4/5​

Answer 1

Ответ:

81/620

Пошаговое объяснение:

4 2/15 * 3 1/3x=1 4/5

3 1/3x=1 4/5:4 2/15

3 1/3x=27/62

x=27/63: 3 1/3

x=81/620

Answer 2

To solve the equation, let's first convert the mixed numbers to improper fractions.

4 2/15 can be written as (4 * 15 + 2) / 15 = 62/15.

3 1/3 can be written as (3 * 3 + 1) / 3 = 10/3.

Now, we can rewrite the equation as:

(62/15) * (10/3) * x = 1 4/5.

To multiply the fractions, we multiply the numerators and denominators:

(62/15) * (10/3) * x = 9/5.

To simplify the left side of the equation, multiply the numerators and denominators:

(62 * 10 * x) / (15 * 3) = 9/5.

Now, simplify the fraction on the left side:

(620x) / 45 = 9/5.

To isolate the variable x, we can multiply both sides of the equation by the reciprocal of (620/45), which is (45/620):

[(620x) / 45] * (45/620) = (9/5) * (45/620).

The fractions on the left side cancel out, leaving:

x = (9/5) * (45/620).

Multiply the numerators and denominators:

x = (9 * 45) / (5 * 620).

Evaluate the numerator and denominator:

x = 405 / 3100.

Therefore, the value of x is 405/3100.