KS3 Cambridge Maths: Fractions, Decimals and Percentages | 剑桥初中数学：分数、小数与百分数

📚 KS3 Cambridge Maths: Fractions, Decimals and Percentages | 剑桥初中数学：分数、小数与百分数

In Cambridge KS3 mathematics, fractions, decimals and percentages are core tools for comparing quantities, solving problems and preparing for algebraic ratio work. This revision guide builds the skills you need to convert between forms, calculate accurately and apply percentages in real-life contexts.

在剑桥 KS3 数学中，分数、小数和百分数是比较数量、解决问题以及为代数比例学习做准备的核心工具。本复习指南帮助你建立相互转换、准确计算以及在现实情境中应用百分数所需的技能。

1. Equivalent Forms of Numbers | 数的等价形式

A fraction, a decimal and a percentage can all describe the same part of a whole. For example, 1/2, 0.5 and 50% represent exactly the same proportion.

分数、小数和百分数都可以描述整体中的同一部分。例如，1/2、0.5 和 50% 表示完全相同的比例。

A percentage is a fraction with denominator 100. The word ‘per cent’ means ‘out of one hundred’, so 25% means 25 out of 100.

百分数是分母为 100 的分数。“per cent”一词的意思是“每一百”，因此 25% 表示 100 份中的 25 份。

Recognising equivalent forms helps you choose the most convenient representation when comparing or calculating.

识别等价形式有助于你在比较或计算时选择最方便的表示方式。

2. Converting Between Fractions, Decimals and Percentages | 分数、小数和百分数的互化

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/4 means 3 ÷ 4.

要把分数转换为小数，用分子除以分母。例如，3/4 表示 3 ÷ 4。

3/4 = 3 ÷ 4 = 0.75

To convert a decimal to a percentage, multiply the decimal by 100. To convert a percentage to a decimal, divide by 100.

要把小数转换为百分数，将小数乘以 100。要把百分数转换为小数，则除以 100。

0.75 × 100 = 75% and 75% ÷ 100 = 0.75

To convert a percentage to a fraction, write it over 100 and simplify if possible. For example,

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