Question

下列表达式的值是多少？

$\frac{1 - \frac{1}{3}}{1 - \frac{1}{2}}$

What is the value of

$\frac{1 - \frac{1}{3}}{1 - \frac{1}{2}}?$

$\dfrac{1}{3}$

$\dfrac{2}{3}$

$\dfrac{3}{4}$

$\dfrac{3}{2}$

$\dfrac{4}{3}$

知识点：分数

先分别化简分子和分母

Simplify the numerator and denominator separately

$1 - \frac{1}{3} = \frac{2}{3}$ ，且 $1 - \frac{1}{2} = \frac{1}{2}$ ；然后做除法

$1 - \frac{1}{3} = \frac{2}{3}$ and $1 - \frac{1}{2} = \frac{1}{2};$ then divide

分子是 $1 - \frac{1}{3} = \frac{2}{3}$ ，分母是 $1 - \frac{1}{2} = \frac{1}{2}$ 。

因此 $\frac{2}{3} \div \frac{1}{2} = \frac{2}{3} \times 2 = \frac{4}{3}$ 。

所以正确答案是 E。

The numerator is $1 - \frac{1}{3} = \frac{2}{3},$ and the denominator is $1 - \frac{1}{2} = \frac{1}{2}.$

Dividing gives $\frac{2}{3} \div \frac{1}{2} = \frac{2}{3} \times 2 = \frac{4}{3}.$

Thus, the correct answer is E .