Question

[5 6\7 + 3 5\21] * 2 1\10 =

Answer 1

$(5 \frac{6}{7} + 3 \frac{5}{21}) \times 2 \frac{1}{10} = 8 \frac{18 + 5}{21} \times 2 \frac{1}{10} = 9 \frac{2}{21} \times 2 \frac{1}{10} = \frac{191 \times 21}{21 \times 10} = \frac{191}{10} = 19 \frac{1}{10}$

Answer 2

To solve the expression [5 6/7 + 3 5/21] * 2 1/10, we need to follow the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, Addition, and Subtraction).

Step 1: Perform the addition inside the square brackets: 5 6/7 + 3 5/21 = (5 + 3) + (6/7 + 5/21) = 8 + (30/42 + 10/42) = 8 + 40/42

Step 2: Simplify the fraction 40/42 to the lowest terms: 40/42 = 20/21

Now, the expression becomes: [5 6/7 + 3 5/21] * 2 1/10 = (8 + 20/21) * 2 1/10

Step 3: Convert the mixed number 2 1/10 to an improper fraction: 2 1/10 = (2 * 10 + 1) / 10 = 21/10

Now, the expression becomes: (8 + 20/21) * 21/10

Step 4: Distribute the multiplication: 8 * 21/10 + (20/21) * 21/10

Step 5: Multiply the fractions: (8 * 21) / 10 + (20 * 21) / (21 * 10) = 168/10 + 420/210

Step 6: Simplify the fractions: 168/10 = 16.8 420/210 = 2

Now, the expression becomes: 16.8 + 2

Step 7: Perform the final addition: 16.8 + 2 = 18.8

Therefore, the final result of the expression [5 6/7 + 3 5/21] * 2 1/10 is 18.8.