Year 8 Higher Maths Unit 5-6: Fractions, Percentages, Ratio and Algebra Explained | 8年级高阶数学单元5-6：分数、百分数、比与代数解析

📚 Year 8 Higher Maths Unit 5-6: Fractions, Percentages, Ratio and Algebra Explained | 8年级高阶数学单元5-6：分数、百分数、比与代数解析

Units 5 and 6 in the Year 8 Higher course pull together number work and early algebraic thinking. You need to move fluently between fractions, decimals and percentages, use ratio and proportion to solve sharing problems, and begin to simplify, expand and solve linear expressions and equations.

8年级高阶第5和第6单元将数的运算与入门代数思维结合。你需要熟练地在分数、小数和百分数之间转换，使用比和比例解决分配问题，并开始化简、展开和求解一次式与方程。

1. Equivalent Fractions and Simplifying | 等值分数与约分

An equivalent fraction is made by multiplying or dividing the numerator and denominator by the same non-zero number. For example, 3/5 = (3 × 4)/(5 × 4) = 12/20. To simplify a fraction, divide both parts by their highest common factor.

等值分数是通过将分子和分母同时乘或除以同一个非零数得到的。例如 3/5 = (3 × 4)/(5 × 4) = 12/20。约分时，用分子和分母的最大公因数同时除。

a/b = (a × k)/(b × k), b ≠ 0, k ≠ 0

Always check whether your final fraction can be simplified. A fraction is in simplest form when the only

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