Question

1,4 ÷2 1/3 = 0,2 х ÷ 3

Answer 1

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Answer 2

To solve the equation, let's first convert the mixed numbers into improper fractions:

1 4/1 ÷ 2 1/3 = 1 + 4/1 ÷ 2 + 1/3

Now, find a common denominator for the fractions:

The common denominator for 1 and 2 is 2*3 = 6.

1 + 4/1 ÷ 2 + 1/3 = 1 + (4/1)(3/3) ÷ (23/3) + 1/3 = 1 + 12/3 ÷ 6 + 1/3 = 1 + 4 ÷ 6 + 1/3 = 1 + 4/6 + 1/3

Now, convert 1 to a fraction with the common denominator:

1 = 6/6

Now the equation becomes:

6/6 + 4/6 + 1/3

Combine the fractions:

6/6 + 4/6 + 1/3 = (6 + 4)/6 + 1/3 = 10/6 + 1/3

Now, convert 10/6 to a mixed number:

10/6 = 6/6 + 4/6 = 1 + 4/6 = 1 2/3

Now, the equation is:

1 2/3 + 1/3

To add these mixed numbers, we need to find a common denominator, which is 3:

1 2/3 + 1/3 = (1*3 + 2)/3 + 1/3 = 5/3 + 1/3 = 6/3 = 2

Now we have:

0.2 × x ÷ 3 = 2

To solve for x, we can isolate x on one side of the equation:

0.2 × x = 2 × 3 0.2 × x = 6

Now, divide both sides by 0.2 to find the value of x:

x = 6 ÷ 0.2 x = 30

So, the solution for the equation is x = 30.