Question

-8,125+7,84+9 7/12+8 1/8-6 6/25-9 7/12

Answer 1

Ответ:

Пошаговое объяснение:

9 7/12-9 7/12=0

7,84-6 6/25=7,84-6,24=1,6

-8,125+8 1/8=-8,125+8,125=0

0+0+1,6=1,6

Answer 2

To calculate the expression, let's follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Now, let's solve the expression step by step:

-8,125 + 7,84 + 9 7/12 + 8 1/8 - 6 6/25 - 9 7/12

Step 1: Convert mixed numbers to improper fractions:

9 7/12 = (12 * 9 + 7)/12 = 115/12 8 1/8 = (8 * 8 + 1)/8 = 65/8 6 6/25 = (25 * 6 + 6)/25 = 156/25 9 7/12 = 115/12

Step 2: Perform addition and subtraction from left to right:

-8,125 + 7,84 + 115/12 + 65/8 - 156/25 - 115/12

Step 3: Convert the decimal numbers to fractions:

-8,125 = -8 - 1/8 7,84 = 7 + 84/100 = 7 + 21/25 = 7 + 21/25 -8,125 + 7,84 = (-8 - 1/8) + (7 + 21/25) = -8 - 1/8 + 7 + 21/25

Step 4: Find a common denominator:

The common denominator for 8, 25, and 12 is 600.

Step 5: Perform the addition:

(-8 * 600 - 1 * 600)/600 + (7 * 600 + 21 * 24)/600 + 115/12 + 65/8 - 156/25 - 115/12

Step 6: Continue with the addition and subtraction:

(-4800 - 75 + 4500 + 504)/600 + 115/12 + 65/8 - 156/25 - 115/12

Step 7: Combine the fractions:

(-4800 - 75 + 5004)/600 + 115/12 + 65/8 - 156/25 - 115/12

Step 8: Perform the addition:

(-5071 + 5004)/600 + 115/12 + 65/8 - 156/25 - 115/12

Step 9: Combine the fractions:

(-67)/600 + 115/12 + 65/8 - 156/25 - 115/12

Step 10: Convert -67 to a fraction with a denominator of 600:

-67 = -67 * 600 / 600 = -40200 / 600

Step 11: Perform the addition:

(-40200 + 115 * 50 + 65 * 75 - 156 * 24 - 115 * 50)/600

Step 12: Calculate the numerator:

(-40200 + 5750 + 4875 - 3744 - 5750)/600

Step 13: Perform the subtraction:

(-40200 + 1131)/600

Step 14: Calculate the final result:

-39069/600

Finally, you can simplify the fraction:

-39069/600 = -6511/100

So, the final result is -6511/100.