Question

(-5 1/16 + 1 1/8) * (-5/6 - 3/14)

Answer 1

Ответ:

$(-5\frac{1}{16} + 1\frac{1}{8} ) * (-\frac{5}{6} - \frac{3}{14}) = (-\frac{81}{16} + \frac{18}{16}) * (-\frac{35}{42} - \frac{9}{42} ) = -\frac{63}{16} * (-\frac{44}{42} ) = \frac{63*44}{16*42} = \frac{33}{8}$

$\frac{33}{8} = 4\frac{1}{8}$

Пошаговое объяснение:

Answer 2

To solve the expression (-5 1/16 + 1 1/8) * (-5/6 - 3/14), follow these steps:

Step 1: Convert the mixed numbers to improper fractions. (-5 1/16) can be written as -5 - 1/16, and (1 1/8) can be written as 1 + 1/8.

Step 2: Calculate the values in the parentheses. -5 - 1/16 = -80/16 - 1/16 = -81/16 1 + 1/8 = 8/8 + 1/8 = 9/8

Step 3: Calculate the second set of parentheses. (-5/6 - 3/14) can be simplified by finding a common denominator, which is 42. -5/6 = -35/42 -3/14 = -9/42

So, (-5/6 - 3/14) = (-35/42 - 9/42) = -44/42

Step 4: Multiply the values from Step 2 and Step 3. (-81/16) * (-44/42)

Step 5: Multiply the numerators and denominators separately. Numerator: (-81) * (-44) = 3564 Denominator: (16) * (42) = 672

Step 6: Simplify the fraction. To simplify the fraction, you can find the greatest common divisor (GCD) of the numerator and denominator, which is 12. Divide both the numerator and denominator by 12. (3564/12) / (672/12) = (297/56)

So, (-5 1/16 + 1 1/8) * (-5/6 - 3/14) = 297/56 or you can also express it as a mixed number: 5 1/56.