Ratio and Proportion: Simplifying and Sharing | 比率与比例：化简与分配

📚 Ratio and Proportion: Simplifying and Sharing | 比率与比例：化简与分配

In KS3 Mathematics, ratio and proportion are essential tools for comparing quantities, sharing amounts fairly, and solving real-life problems such as recipes, scales, and money. This article reviews the key methods you need for Cambridge KS3, including simplifying ratios, sharing in a given ratio, converting ratios to fractions, and using the unitary method for proportion.

在 KS3 数学中，比率和比例是比较数量、公平分配以及解决食谱、比例尺和金钱等实际问题的重要工具。本文复习 Cambridge KS3 所需的关键方法，包括化简比、按给定比例分配、将比率转换为分数，以及使用单位法解决比例问题。

1. What is a Ratio? | 什么是比率？

A ratio compares two or more quantities using division. The order of the numbers is very important: the ratio 2:3 means for every 2 units of the first quantity, there are 3 units of the second.

比率用除法比较两个或多个数量。数字的顺序非常重要：比率 2:3 表示第一个量每有 2 个单位，第二个量就有 3 个单位。

For example, if a class has 12 boys and 15 girls, the ratio of boys to girls is written as 12:15. This can be simplified to 4:5.

例如，一个班级有 12 名男生和 15 名女生，男生与女生的比率写作 12:15，可化简为 4:5。

2. Simplifying Ratios | 化简比

To simplify a ratio, divide both sides by their highest common factor (HCF). This works just like simplifying fractions, but the two parts remain separate and joined by a colon.

化简比时，两边同时除以最大公因数（HCF）。这与化简分数类似，但两部分保持独立，用冒号连接。

Example: Simplify 24:36. The HCF of 24 and 36 is 12, so divide both parts by 12.

示例：化简 24:36。

Published by TutorHao | KS3 Mathematics Revision Series | aleveler.com

更多咨询请联系16621398022（同微信）