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课上教授分数，包括分母和分子的概念。

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

这整个简化，我们只是在简化分子。

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

所以让我拿出计算器，后我们——我先算分子。

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

我们希望它的小时数在顶部，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的其他元素。

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-计算器。

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。

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。

The numerator over here is a 0.08.

这里的分子是 0.08。

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

当你计算方差时，你可以把它看作真正的分子。

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

显，根据分子和分母的 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 的数，那么分子也必须乘以一个略大于 3 的数。

So this is 0.15 in the numerator divided by 0.05 in the denominator, and so this is going to be 3.

所以这是分子中的 0.15 除以分母中的 0.05，所以这将是 3。

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

所以我们的分子是 0.08 除以这里的最后一个数字，即 0.037。

The sum is 38.80, so the numerator.

总和是 38.80，所以是分子。

Oh sorry, and this is just the numerator.

哦，对不起，这只是分子。

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的分子。

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的这个分母大得多。

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，它们都可以被 4 整除， 分子除以 4 是负 5， 大于 21。