Question

17/18*(-1 4/7)-(-4/21)*(1 1/6)

Answer 1

= -1 61/126 - (-2/9) = -1 11/42

Answer 2

Ответ:

- 1 11/42

Пошаговое объяснение:

17/18*(-1 4/7)-(-4/21)*(1 1/6)=17/18*(-11/7)+4/21*7/6=-17/18*11/7+2/3*1/3=-187/126+2/9=-187/126+28/126=-159/126=-

53/42=-1 11/42

Answer 3

To solve this expression, follow these steps:

Step 1: Convert the mixed numbers to improper fractions. Step 2: Perform the multiplication and subtraction operations according to the order of operations (PEMDAS/BODMAS).

Let's proceed with the calculations:

Step 1: Convert mixed numbers to improper fractions -1 4/7 can be converted to an improper fraction as follows: -1 4/7 = -(1 * 7 + 4)/7 = -11/7

1 1/6 can be converted to an improper fraction as follows: 1 1/6 = (1 * 6 + 1)/6 = 7/6

Step 2: Perform the calculations 17/18 * (-11/7) - (-4/21) * (7/6)

Now, let's calculate each part:

1. 17/18 * (-11/7): Multiply the numerators (17 * -11) to get -187. Multiply the denominators (18 * 7) to get 126. So, 17/18 * (-11/7) = -187/126

2. -(-4/21) * (7/6): The negative sign in front of the first fraction becomes positive, so we have: 4/21 * 7/6

Multiply the numerators (4 * 7) to get 28. Multiply the denominators (21 * 6) to get 126. So, 4/21 * 7/6 = 28/126

Now, subtract the results: -187/126 - 28/126

To subtract fractions, the denominators must be the same. Both fractions already have a denominator of 126, so we can subtract the numerators directly: (-187 - 28)/126 = -215/126

The result is -215/126, which can be further simplified if required.