化简 (3-2.5)/(3+1 1/3)

解答

化简

\frac{3 - 2.5}{3 + 1 \frac{1}{3}}

0.11538 \dots

求解步骤

\frac{3 - 2.5}{3 + 1 \frac{1}{3}}

将带分数转换为假分式:

1 \frac{1}{3} = \frac{4}{3}

= \frac{3 - 2.5}{3 + \frac{4}{3}}

数字相减:

3 - 2.5 = 0.5

= \frac{0.5}{3 + \frac{4}{3}}

化简

3 + \frac{4}{3} : \frac{13}{3}

= \frac{0.5}{\frac{13}{3}}

使用分式法则:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{0.5 \cdot 3}{13}

数字相乘:

0.5 \cdot 3 = 1.5

= \frac{1.5}{13}

数字相除:

\frac{1.5}{13} = 0.11538 \dots

= 0.11538 \dots

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