Question

6 (7 2/9+y) при y=5 1/6

Answer 1

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Answer 2

To evaluate the expression 6(7 2/9 + y) when y = 5 1/6, we need to substitute the value of y into the expression and perform the arithmetic operations.

Step 1: Convert the mixed number y = 5 1/6 to an improper fraction. y = 5 + 1/6 = 5 6/6 + 1/6 = 5 7/6

Step 2: Replace y in the expression. 6(7 2/9 + y) = 6(7 2/9 + 5 7/6)

Step 3: Add the whole numbers together. 7 + 5 = 12

Step 4: Add the fractions together. To add fractions with different denominators, we need to find a common denominator, which in this case is 6 * 9 = 54. (2/9) * (6/6) = 12/54 (7/6) * (9/9) = 63/54

Now, add the fractions: 12/54 + 63/54 = (12 + 63) / 54 = 75 / 54

Step 5: Replace the result back into the expression. 6(7 2/9 + y) = 6(12 75/54)

Step 6: Simplify the mixed number. Divide 75 by 54 to get the whole number and the remaining fraction: 75 ÷ 54 = 1 remainder 21

So, the mixed number becomes 12 1/54.

Step 7: Multiply the result by 6. 6(12 1/54) = 6 * 12 + 6 * 1/54 = 72 + 1/9

The final result is 72 1/54, which can also be written as an improper fraction: 72 2/54 or 72 1/27.