Question

4 1/6 * 0, 6 + 6 2/5 ÷ 1 1/7 - 6, 7

Answer 1

11 целых 109/110
Незашто

Answer 2

To solve the expression 4 1/6 * 0,6 + 6 2/5 ÷ 1 1/7 - 6,7, we need to follow the order of operations (also known as PEMDAS or BIDMAS) which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Let's break down the expression step by step:

Step 1: Convert mixed numbers to improper fractions. 4 1/6 can be written as (6 * 4 + 1) / 6 = 25/6 6 2/5 can be written as (5 * 6 + 2) / 5 = 32/5 1 1/7 can be written as (7 * 1 + 1) / 7 = 8/7

Now the expression becomes: 25/6 * 0,6 + 32/5 ÷ 8/7 - 6,7

Step 2: Perform multiplication and division from left to right. 25/6 * 0,6 = (25 * 0,6) / 6 = 15/6 32/5 ÷ 8/7 = (32/5) * (7/8) = (32 * 7) / (5 * 8) = 224/40 = 28/5

Now the expression becomes: 15/6 + 28/5 - 6,7

Step 3: Convert the decimal number 6,7 to a fraction. 6,7 can be written as 6 7/10 = (10 * 6 + 7) / 10 = 67/10

Now the expression becomes: 15/6 + 28/5 - 67/10

Step 4: Find a common denominator. The common denominator for 6, 5, and 10 is 30.

Now the expression becomes: (15/6) * (5/5) + (28/5) * (6/6) - (67/10) * (3/3) = 75/30 + 168/30 - 201/30

Step 5: Perform addition and subtraction from left to right. 75/30 + 168/30 - 201/30 = (75 + 168 - 201) / 30 = 42/30 = 7/5

Therefore, the answer to the expression 4 1/6 * 0,6 + 6 2/5 ÷ 1 1/7 - 6,7 is 7/5.