Question

2÷3/5+3/5÷2+1 1/2÷6+6÷1 1/2​

Answer 1

Ответ:

7,85

Пошаговое объяснение:

Answer 2

Let's solve this step by step:

1. 2 ÷ 3/5: To divide by a fraction, you can multiply by its reciprocal (flipping it upside down). So, 2 ÷ 3/5 is the same as 2 × 5/3, which is equal to 10/3.

2. 3/5 ÷ 2: Again, to divide by 2, you can write it as a fraction: 2/1. So, 3/5 ÷ 2/1 is the same as (3/5) × (1/2), which simplifies to 3/10.

3. 1 1/2 ÷ 6: Convert the mixed number to an improper fraction: 1 1/2 = 3/2. Now, 3/2 ÷ 6 can be simplified by multiplying both the numerator and denominator by 2 to get 3/12. Reduce the fraction to its simplest form, which is 1/4.

4. 6 ÷ 1 1/2: Convert the mixed number to an improper fraction: 1 1/2 = 3/2. Now, 6 ÷ 3/2 can be simplified by multiplying by the reciprocal of 3/2, which is 2/3. So, 6 ÷ 3/2 is equal to (6) × (2/3), which is 4.

Now, let's put it all together:

10/3 + 3/10 + 1/4 + 4

To add these fractions and whole numbers together, you'll need to find a common denominator. The common denominator for 3, 10, and 4 is 60. So, you'll need to express each fraction with a denominator of 60:

1. For 10/3, multiply both the numerator and denominator by 20 to get 200/60.
2. For 3/10, multiply both the numerator and denominator by 6 to get 18/60.
3. For 1/4, multiply both the numerator and denominator by 15 to get 15/60.

Now, the expression becomes:

(200/60) + (18/60) + (15/60) + (4)

Now, add the fractions:

(200/60) + (18/60) + (15/60) = 233/60

Now, add 233/60 to 4:

233/60 + 4

To add a fraction to a whole number, you need to have a common denominator. In this case, it's 60. So, convert 4 to a fraction with a denominator of 60:

4 = 240/60

Now, add the fractions:

(233/60) + (240/60) = 473/60

So, the final result is 473/60.