Question

(7-2целых2/5 : 8/15) : 5целых 5/8

Answer 1

Ответ:

Дробные выражения

Ответ во вложении.

Answer 2

To simplify the expression, let's convert the mixed numbers to improper fractions and perform the division step by step.

First, let's convert the mixed numbers to improper fractions:

7 - 2 2/5 = 7 - (2 * 5 + 2) / 5 = 7 - 12/5 = 7 * 5/5 - 12/5 = (35/5) - (12/5) = 35/5 - 12/5 = 23/5

5 - 5/8 = 5 * 8/8 - 5/8 = 40/8 - 5/8 = 35/8

Now, let's perform the division:

(23/5 : 8/15) : 35/8 = (23/5) * (15/8) : 35/8

To divide fractions, we multiply by the reciprocal of the second fraction:

(23/5) * (15/8) * (8/35)

Now, let's simplify the expression:

(23/5) * (15/8) * (8/35) = (23 * 15 * 8) / (5 * 8 * 35) = 2760 / 1400 = 69/35

Therefore, (7 - 2 2/5 : 8/15) : 5 5/8 simplifies to 69/35.