Question

5/6+5/18-(3целых7/9-2целых13/15)

Answer 1

Сначала решаешь в скобках : преобразовываешь смешанную дробь в обыкновенную 3 целых 7/9=34/9
2целых13/15=43/15
потом все остальное.

действия :
1)34/9-43/15=123/135
2)5/6+5/18=20/18
3)20/18-123/135=0,2

Answer 2

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

Step 1: Simplify the nested fraction. 3 целых 7/9 - 2 целых 13/15

To perform the subtraction, we need to find a common denominator for 9 and 15, which is 45.

Convert 7/9 to have a denominator of 45: 7/9 * 5/5 = 35/45

Convert 13/15 to have a denominator of 45: 13/15 * 3/3 = 39/45

Now we can subtract the fractions: 3 целых 35/45 - 2 целых 39/45

Combine the whole numbers: 3 целых - 2 целых = 1 целое

Subtract the fractions: 35/45 - 39/45 = -4/45

Therefore, 3 целых 7/9 - 2 целых 13/15 = 1 целое - 4/45.

Step 2: Perform addition and subtraction of the remaining fractions. 5/6 + 5/18 - (1 целое - 4/45)

To perform addition and subtraction, we need to find a common denominator for 6, 18, and 45, which is 90.

Convert 5/6 to have a denominator of 90: 5/6 * 15/15 = 75/90

Convert 5/18 to have a denominator of 90: 5/18 * 5/5 = 25/90

Convert 4/45 to have a denominator of 90: 4/45 * 2/2 = 8/90

Now we can perform the addition and subtraction: 75/90 + 25/90 - (1 целое - 8/90)

Combine the fractions: 75/90 + 25/90 - 1 целое + 8/90

Combine the numerators: (75 + 25 + 8)/90 - 1 целое

Simplify the numerator: 108/90 - 1 целое

Convert the improper fraction to a mixed number: 1 целое = 90/90

Subtract the fractions: 108/90 - 90/90 = 18/90

Convert the fraction to a mixed number: 18/90 = 1/5

Therefore, 5/6 + 5/18 - (3 целых 7/9 - 2 целых 13/15) = 1/5.