Question

下列哪一个最大？

Which of the following is the largest?

$\dfrac{1}{3}$

$\dfrac{1}{4}$

$\dfrac{3}{8}$

$\dfrac{5}{12}$

$\dfrac{7}{24}$

知识点：分数

把五个分数都化成同一个分母

Rewrite all five fractions over one common denominator

这些分数的最小公分母是 $24$

The least common denominator of these fractions is $24$

通分到分母 $24$ ，这些分数分别是 $\dfrac{8}{24}$ 、 $\dfrac{6}{24}$ 、 $\dfrac{9}{24}$ 、 $\dfrac{10}{24}$ 和 $\dfrac{7}{24}$ 。

最大的分子是 $10$ ，所以 $\dfrac{5}{12} = \dfrac{10}{24}$ 最大。

所以正确答案是 D。

Over the common denominator $24$ , the fractions are $\dfrac{8}{24},$ $\dfrac{6}{24},$ $\dfrac{9}{24},$ $\dfrac{10}{24},$ and $\dfrac{7}{24}.$

The largest numerator is $10$ , so $\dfrac{5}{12} = \dfrac{10}{24}$ is the largest.

Thus, the correct answer is D .