One of the highlights was a 4th grade math class on fractions, including the concepts of denominator and the numerator.

其中一个亮点就是在一节四年级数学课分数，包括分母和分子的概念。

So, again, we're talking about fractions - this is the numerator; this is the denominator.

所以，我们再次谈论分数——这是分子； 这是分母。

We want it with the hours on the top, on the numerator.

我们希望它的小时数在顶部，在分子。

Uh how did delta x go from the first denominator to the second numerator?

呃, delta x 是如何从第一个分母第二个分子的?

Where this denominator and the numerator are both written with a special prime counting function.

其中分母和分子都是用特殊的素数计数函数编写的。

Is concerning the other element in the numerator basis Rule.

是关于分子基法则中的其他元素。

The numerator tells us the number of pieces we're dealing with.

TIM：分子告诉我们要处理的件数。

This whole simplification, we're just simplifying the numerator.

这整个简化，我们只是在简化分子。

The sum is 38.80, so the numerator.

总和是 38.80，所以是分子。

So you have n to the k in the numerator and you have n to the k in the denominator.

所以你有 n k 的分子，你有 n k 的分母。

Anyway, to simplify a fraction, you first have to find the greatest common factor of the numerator and the denominator.

无论如何，要简化分数，您首先必须找分子和分母的最大公因数。

Now, to simplify it, we can multiply both the numerator and the denominator by the mean of the x's.

现在，为了简化它，我们可以将分子和分母都乘以 x 的平均值。

So we have 642 in the numerator.

所以分子中有 642。

We replace the y in the first  numerator with position or " x" , because that is what is on the y-axis.

我们将第一个分子中的 y 替换为位置或“x” ，因为这是 y 轴的内容。

Now, if we multiply our denominator by a number slightly larger than 3, we must also multiply our numerator by a number slightly larger than 3.

如果分母乘以一个略大于 3 的数，那么分子也必须乘以一个略大于 3 的数。

So let me get the calculator out, and we have-- I'll do the numerator first.

所以让我拿出计算器，然后我们——我先算分子。

This right here is the numerator when we were trying to figure out the slope of the regression line.

这就是我们试图计算回归线斜率时的分子。

For example, calculations of return on capital look more impressive with an inflated numerator (present returns) and the denominator (capital invested in the past) in old dollars.

例如，在分子(现在的回报)涨高，而分母(过去投资的资本)按旧美元来计价的情况下，资本回报率的计算看起来会更令人印象深刻。

The numerator over here is a 0.08.

这里的分子是 0.08。

You're just multiplying the numerator and denominator by negative 1, which is same thing as multiplying the whole thing by 1.

您只是将分子和分母乘以负数 1，这与将整个事物乘以 1 是一样的。