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上教授分数，包括分母和分子。

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

所以让我拿出计算，然后我们——我先算分子。

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

我们希望它小时数在顶部，在分子上。

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

所以，我们再次论分数——这是分子； 这是分母。

Is concerning the other element in the numerator basis Rule.

是关于分子基法则中其他元素。

How about this for the app name? The Surprisingly Helpful Equation-Linked Differential Optimized Numerator.

应用程序叫这名儿怎样 出奇-好用-微分-方程-相关 优化-计算。

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，我们以将分子和分母都乘以 x 平均值。

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。

The numerator over here is a 0.08.

这里分子是 0.08。

And you could view it as really the numerator when you calculate variance.

当你计算方差时，你以把它看作真正分子。

And obviously it's going to look different depending on the df of the numerator and the denominator.

显然，根据分子和分母 df，它看起来会有所不同。

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 数，那么分子也必须乘以一个略大于 3 数。

So our numerator is 0.08 divided by this last number right here, which is the 0.037.

所以我们分子是 0.08 除以这里最后一个数字，即 0.037。

The sum is 38.80, so the numerator.

总和是 38.80，所以是分子。

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分子。

That's if this numerator is much bigger than this denominator over here.

那就是如果这个分子比这里这个分母大得多。

Negative 20 over 84, which is the same thing, they're both divisible by 4, the numerator divided by 4 is negative 5, over 21.

负 20 大于 84， 这是一回事，它们都以被 4 整除， 分子除以 4 是负 5， 大于 21。

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

这整个简化，我们只是在简化分子。

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(现在回报)涨高，而分母(过去投资资本)按旧美元来计价情况下，资本回报率计算看起来会更令人印象深刻。

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 到 k 分子，你有 n 到 k 分母。