
20 7/19(3 1/19+5 5/19)


Ответы на вопрос

ОТВЕТ: 12 1/19....



To solve the given expression, we need to follow the order of operations (PEMDAS/BODMAS). First, we perform the operations inside the parentheses, then any multiplication or division, and finally any addition or subtraction.
Step 1: Evaluate the expression inside the parentheses. 3 1/19 + 5 5/19
To add these mixed numbers, we need to make sure they have the same denominator. The common denominator for 19 and 19 is 19 itself.
Step 1.1: Convert the mixed numbers to improper fractions: 3 1/19 = (3 * 19 + 1) / 19 = 58 / 19 5 5/19 = (5 * 19 + 5) / 19 = 100 / 19
Step 1.2: Add the improper fractions: 58/19 + 100/19 = (58 + 100) / 19 = 158 / 19
Step 2: Now, we can rewrite the entire expression as: 20 - 7/19 * (158/19)
Step 3: Perform the multiplication inside the parentheses: 7/19 * (158/19) = (7 * 158) / (19 * 19) = 1106 / 361
Step 4: Finally, subtract the result from 20: 20 - 1106/361
Now, let's find a common denominator for 361 and 1, which is 361 itself:
20 = 20 * 361 / 361 = 7220 / 361
Now, the expression becomes:
7220/361 - 1106/361
Step 5: Subtract the fractions: (7220 - 1106) / 361 = 6114 / 361
So, the final answer is 6114/361. If you want to simplify this fraction further, you can find the greatest common divisor (GCD) and divide both the numerator and denominator by it. However, the fraction 6114/361 is already in its simplest form.


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