22,5:5 2/7- 2 3/5

To simplify the expression 22.5 ÷ 5 - 2/7 - 2 3/5, let's first convert the mixed numbers to improper fractions.

Converting 2 3/5 to an improper fraction: 2 x 5 = 10 10 + 3 = 13 13/5

Now let's rewrite the expression:

22.5 ÷ 5 - 2/7 - 13/5

Next, let's convert the decimal to a fraction.

22.5 is equivalent to 22 1/2, as 0.5 is equal to 1/2.

Now we can rewrite the expression once again:

22 1/2 ÷ 5 - 2/7 - 13/5

To simplify further, let's find a common denominator for the fractions involved.

The least common multiple (LCM) for 5 and 7 is 35.

Multiplying each fraction by the required factor to obtain a denominator of 35:

(22 x 35 + 1 x 35) ÷ (5 x 7) - (2 x 5) ÷ (7 x 5) - (13 x 7) ÷ (5 x 7)

Next, simplify further:

(770 + 35) ÷ 35 - 10/35 - 91/35

Combine the numerators:

805 ÷ 35 - 10/35 - 91/35

Subtract the numerators:

(805 - 10 - 91) ÷ 35

Simplify further:

(704) ÷ 35

Finally, divide:

704 ÷ 35 = 20

Therefore, 22.5 ÷ 5 - 2/7 - 2 3/5 simplifies to 20.