Question

(3,6-1 2/3):(4 1/15-2 7/9)•2,6

Answer 1

Ответ:

(3,6-1 2/3):(4 1/15-2 7/9)*2,6=1/6

Пошаговое объяснение:

1) 3,6-1 2/3= 3 6/10-1 2/3=3 3/5-1 2/3=3 9/15-1 10/15)=2 24/15-1 10/15=1 14/15.

2) 4 1/15-2 7/9=4 3/45-2 35/45=3 48/45-2 35/45=1 13/45.

3) 1 13/45*2,6=58/13*13/5=58/5=11,6.

4) 1 14/15:11,6=29/15 :11 3/5=29/15:58/5=1/6.

Answer 2

To solve this expression, let's break it down step by step:

Step 1: Simplify the division expression inside the parentheses. (3 6/1 - 2/3) / (4 1/15 - 2 7/9) • 2.6

Convert mixed numbers to improper fractions: (18/1 + 2/3) / (61/15 - 25/9) • 2.6

Find the common denominator for each fraction: (54/3 + 2/3) / (549/45 - 375/45) • 2.6

Combine the numerators and keep the common denominator: (56/3) / (174/45) • 2.6

Step 2: Simplify the division by multiplying the numerator by the reciprocal of the denominator. (56/3) * (45/174) • 2.6

Multiply the numerators and denominators: (56 * 45) / (3 * 174) • 2.6

Simplify the multiplication: 2520 / 522 • 2.6

Step 3: Simplify the division. 2520 / 522 = 4.8301

Step 4: Multiply the result from step 3 by 2.6. 4.8301 * 2.6 = 12.5583

Therefore, the final result of the expression (3 6-1 2/3):(4 1/15-2 7/9)•2.6 is approximately 12.5583.