Question

(-4 1/5 * 2 1/7) * 1 1/18​

Answer 1

Ответ:

(-41/5 ·21/7)·1/18=-41/5 ·7/7 ·1/6=-41/30=-1 11/30

Пошаговое объяснение:

Answer 2

To solve the expression (-4 1/5 * 2 1/7) * 1 1/18, you can follow these steps:

Step 1: Convert mixed numbers to improper fractions.

• (-4 1/5) as an improper fraction is -21/5.
• (2 1/7) as an improper fraction is 15/7.
• (1 1/18) as an improper fraction is 37/18.

Step 2: Perform the multiplication. (-21/5 * 15/7) * 37/18

Step 3: Multiply the fractions.

First, simplify each fraction as much as possible:

• -21/5 can be simplified to -63/15 by dividing both the numerator and denominator by 3.
• 15/7 cannot be simplified further.
• 37/18 cannot be simplified further.

Now, multiply the fractions: ((-63/15) * (15/7)) * (37/18)

Step 4: Multiply the numerators together and the denominators together:

• Numerator: (-63 * 15 * 37)
• Denominator: (15 * 7 * 18)

Step 5: Simplify the fraction if possible.

• Calculate the numerator: (-63 * 15 * 37) = -34965
• Calculate the denominator: (15 * 7 * 18) = 1890

So, the final result is: -34965/1890

You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 45:

• (-34965 ÷ 45) / (1890 ÷ 45) = -777/42

Finally, simplify the fraction further by dividing both the numerator and denominator by 3:

• (-777 ÷ 3) / (42 ÷ 3) = -259/14

So, the result of the expression (-4 1/5 * 2 1/7) * 1 1/18 is -259/14.