Question

( 8 3/4 ×2/7 -1 1/6) ×6​

Answer 1

$\frac{516}{21}$

Answer 2

To solve the expression (8 3/4 × 2/7 - 1 1/6) × 6, follow these steps:

Step 1: Convert the mixed numbers to improper fractions.

8 3/4 as an improper fraction: 8 * 4 + 3 = 35/4

1 1/6 as an improper fraction: 1 * 6 + 1 = 7/6

So the expression becomes ((35/4) × (2/7) - (7/6)) × 6.

Step 2: Perform the multiplications and subtractions inside the parentheses.

(35/4) × (2/7) = (35 * 2) / (4 * 7) = 70/28 = 5/2

Now, the expression becomes (5/2 - 7/6) × 6.

Step 3: Subtract the fractions.

To subtract fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 6.

(5/2) - (7/6) = (15/6) - (7/6) = (15 - 7) / 6 = 8/6 = 4/3

Now, the expression becomes (4/3) × 6.

Step 4: Multiply the fraction by 6.

(4/3) × 6 = (4 * 6) / 3 = 24/3 = 8

So, the value of the expression is 8.