Question

3/4-5/8+1/6/3/8+7/12-1/2​

Answer 1

Ответ:

$0.75 - 0.625 + \frac{1}{6} \times \frac{1}{3} \times \frac{1}{8} \times \frac{7}{12} - 0.5 = 0.75 - 0.625 + \frac{1}{144} + \frac{4}{12} + 0.5 = 0.375 + \frac{85}{144} = - \frac{3}{8} + \frac{85}{144} = \frac{31}{144}$

Answer 2

To simplify the expression, let's start by finding a common denominator for all the fractions involved. The common denominator for 4, 8, and 6 is 24.

Now, let's convert each fraction to have a denominator of 24:

3/4 = (3/4) * (6/6) = 18/24 5/8 = (5/8) * (3/3) = 15/24 1/6 = (1/6) * (4/4) = 4/24 3/8 = (3/8) * (3/3) = 9/24 7/12 = (7/12) * (2/2) = 14/24 1/2 = (1/2) * (12/12) = 12/24

Now, let's substitute the fractions in the expression:

18/24 - 15/24 + 4/24 + 9/24 - 14/24 + 12/24

Combining the numerators:

(18 - 15 + 4 + 9 - 14 + 12)/24

Calculating the numerator:

18 - 15 + 4 + 9 - 14 + 12 = 14

So the expression becomes:

14/24

To simplify further, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 2:

14/2 / 24/2 = 7/12

Therefore, the simplified value of the expression is 7/12.