Question

2/3*5/7-3/14:(4 1/2)-2 2/3

Answer 1

Пошаговое объяснение:

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Answer 2

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Let's break down the expression step by step:

1. First, simplify the division inside the parentheses: 3/14 ÷ (4 1/2) is equivalent to 3/14 ÷ (9/2).

2. Invert and multiply to divide fractions: (3/14) * (2/9) = (3/7) * (1/3).

3. Now, multiply the fractions: (3/7) * (1/3) = 3/21 = 1/7.

Now, the expression becomes:

2/3 * 5/7 - 1/7 - 2 2/3.

4. Calculate the first multiplication: (2/3) * (5/7) = (10/21).

So, the expression is now:

10/21 - 1/7 - 2 2/3.

5. To subtract mixed numbers, you should first find a common denominator. In this case, the common denominator is 21.

• Convert 2 2/3 to an improper fraction: 2 2/3 = (3 * 2 + 2) / 3 = 8/3.

6. Now, rewrite the mixed number as an improper fraction: 10/21 - 1/7 - 8/3.

7. Find a common denominator for all the fractions, which is 21.

• Multiply 1/7 by 3/3 to get a denominator of 21: 1/7 * 3/3 = 3/21.

8. Now, the expression is:

10/21 - 3/21 - 8/3.

9. Subtract the fractions with the common denominator:

(10/21 - 3/21) - 8/3 = 7/21 - 8/3.

10. To subtract these fractions, you need a common denominator. In this case, the least common denominator (LCD) is 21.

• Convert 8/3 to an equivalent fraction with a denominator of 21: 8/3 * 7/7 = 56/21.

11. Now, rewrite the expression with a common denominator:

(7/21) - (56/21).

12. Subtract the fractions with the common denominator:

(7/21 - 56/21) = -49/21.

13. Simplify the final fraction:

-49/21 = -(7/3).

So, the result of the expression is -(7/3).