Question

Решить значение выражения 7 5/12 -( 5- 3 4/12)+2 10/12

Answer 1

7 5/12 -( 5- 3 4/12)+2 10/12=75\12-13\6+10\6=23\4

Answer 2

To solve the expression, we need to perform the operations in the correct order: addition and subtraction first, then perform the operations within parentheses, and finally, deal with fractions. Let's proceed step by step:

1. First, we need to simplify the expression inside the parentheses: 5 - 3 4/12 = 5 - (3 + 4/12) = 5 - (3 + 1/3) = 5 - (3.333...) ≈ 1.666...

2. Now, we have the simplified expression: 7 5/12 - 1.666... + 2 10/12

3. Next, let's convert the whole numbers into fractions with a common denominator: 7 5/12 = (7 * 12 + 5) / 12 = 89 / 12 2 10/12 = (2 * 12 + 10) / 12 = 34 / 12

So the expression becomes: 89/12 - 1.666... + 34/12

4. Now, we have fractions with a common denominator, so we can directly perform addition and subtraction: 89/12 - 1.666... + 34/12 = (89 - 1.666... + 34) / 12 ≈ (89 - 1.666... + 34) / 12

5. Lastly, perform the arithmetic: ≈ (89 - 1.666... + 34) / 12 ≈ (89 - 1.666... + 34.000...) / 12 ≈ (121.333...)/12 ≈ 10.111...

Therefore, the value of the expression is approximately 10.111... or 10 1/9 in mixed fraction form.