Question

7/8+13/14-3/6-2/7+3/4-8/21

Answer 1

Вот)✅

100% правильный✅

Answer 2

Ответ:

1 65/168

Пошаговое объяснение:

7/8+13/14-3/6-2/7+3/4-8/21=(7/8+3/4)+(13/14-8/21-2/7)-3/6=(7/8+6/8)+(39/42-16/42-12/42)-1/2=13/8+11/42-3/6=1 5/8+11/42-1/2=1 5/8+11/42-21/42=1 5/8-10/42=1 5/8-5/21=1 105/168-40/168=1 65/168

Answer 3

Calculating the Arithmetic Expression

To solve the arithmetic expression 7/8 + 13/14 - 3/6 - 2/7 + 3/4 - 8/21, we can follow these steps:

1. Find a common denominator for all the fractions. 2. Add or subtract the numerators based on the common denominator.

Let's calculate it step by step.

Step 1: Finding a Common Denominator

The common denominator for the fractions is the least common multiple (LCM) of the denominators. In this case, the LCM of 8, 14, 6, 7, 4, and 21 is 168.

Step 2: Adding and Subtracting the Fractions

Now, we can convert all the fractions to have a denominator of 168 and then perform the addition and subtraction.

- 7/8 becomes 147/168 - 13/14 becomes 156/168 - 3/6 becomes 84/168 - 2/7 becomes 48/168 - 3/4 becomes 126/168 - 8/21 becomes 64/168

Final Calculation

Now, we can perform the arithmetic:

147/168 + 156/168 - 84/168 - 48/168 + 126/168 - 64/168

This simplifies to:

(147 + 156 - 84 - 48 + 126 - 64) / 168

= 233 / 168

So, the result of the expression 7/8 + 13/14 - 3/6 - 2/7 + 3/4 - 8/21 is 233/168.