Question

Решите пожалуйста по действиям даю 40 баллов 3,625 - (-0,25)+2 3/4): (-15+28,75-(-92 1/4)):0,0625

Answer 1

Ответ:

To solve this expression, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction):

1. Start with the division inside the parentheses:

-15 + 28.75 - (-92 1/4) = -15 + 28.75 - (-92.25)

2. Simplify the subtraction inside the parentheses:

-15 + 28.75 + 92.25 = 106

3. Now we can simplify the outer division operation:

2 3/4 ÷ 106

To divide fractions, we need to convert the mixed number (2 3/4) into an improper fraction:

2 3/4 = (2 × 4 + 3) / 4 = 11/4

The expression becomes:

11/4 ÷ 106

To divide a fraction by a whole number, we multiply the numerator by the reciprocal of the denominator:

11/4 ÷ 106 = 11/4 × 1/106

Now we can simplify the division operation:

11/4 × 1/106 = 11/424

Lastly, we can calculate the final result by subtracting and adding the numbers:

3,625 - (-0.25) + 11/424

To add and subtract fractions, we need a common denominator. The current denominators are 1 and 424, so we'll convert 3,625 and -0.25 into fractions with a denominator of 424:

3,625 = 3625/1

-0.25 = -1/4

3625/1 = (3625 × 424) / (1 × 424) = 1,537,000 / 424

-1/4 = (-1 × 106) / (4 × 106) = -106 / 424

The expression becomes:

1,537,000/424 - (-106/424) + 11/424

Subtracting a negative is equivalent to adding, so the expression simplifies further:

1,537,000/424 + 106/424 + 11/424

Now we can add the numerators and keep the common denominator:

1,537,000 + 106 + 11 / 424

1,537,000 + 106 + 11 = 1,537,117

The final expression is:

1,537,117/424