Question

2-1:(1/2-1/4)/2+1:(1/2+1/4)=

Answer 1

вычислим числитель:

2-1/(1/2-1/4)= 2-1/(2/4-1/4)= 1-1 / 1/4=2-4=-2

вычислим знаменатель

2+1/(1/2+1/4)=2+1/(2/4+1/4)=2+1 / 3/4= 2+4/3=10/3

вычисляем значение дроби

-2 / 10/3= -2/1*3/10=-6/10=-3/5

Answer 2

Let's break it down step by step:

1. $\frac{1}{2} - \frac{1}{4}$ is $\frac{2}{4} - \frac{1}{4}$, which equals $\frac{1}{4}$.
2. $\frac{1}{4}$ divided by 2 is $\frac{1}{8}$.

Now, let's move on to the second part:

1. $\frac{1}{2} + \frac{1}{4}$ is $\frac{2}{4} + \frac{1}{4}$, which equals $\frac{3}{4}$.
2. $\frac{3}{4}$ plus 1 is $\frac{3}{4} + \frac{4}{4}$, which equals $\frac{7}{4}$.

Finally, let's put it all together:

To divide by a fraction, you multiply by its reciprocal: \[ \frac{1}{8} \times \frac{4}{7} \] Multiplying the numerators and denominators: \[ \frac{1 \times 4}{8 \times 7} \] Simplifying: \[ \frac{4}{56} \] And further simplifying by dividing both the numerator and denominator by 4: \[ \frac{1}{14} \] So, \( \frac{\frac{1}{2} - \frac{1}{4}}{2} + \frac{\frac{1}{2} + \frac{1}{4}}{1} = \frac{1}{14} \). Phew! That was a bit of a mathematical journey. Anything else on your mind?