Topic 7 · Number & Algebra
Fractions & Decimals
Factors, multiplying and dividing fractions, order of operations, and recurring decimals — including the algebraic method.
By the end of this topic you can…
- Find the HCF and LCM using prime factors
- Multiply and divide fractions and mixed numbers
- Apply the order of operations to fraction calculations
- Convert a recurring decimal to a fraction
- Prove a recurring decimal equals a fraction using algebra
Lessons
- Factors, HCF and LCM Finding factors in pairs, writing numbers as products of primes, and using the HCF to simplify fractions and solve problems.
- Multiplying and Dividing Fractions Multiplying and dividing fractions and mixed numbers, cancelling first, and dividing by multiplying by the reciprocal.
- Order of Operations and Laws of Arithmetic BIDMAS with fractions and decimals, and using the distributive law and clever cancelling to make calculations easy.
- Recurring Decimals Writing fractions as recurring decimals, predicting which fractions terminate, and turning simple recurring decimals back into fractions.
- Recurring Decimals to Fractions — the Algebraic Method Converting any recurring decimal to a fraction by multiplying by 10, 100 or 1000 and subtracting — including decimals where only part recurs — and writing it up as a proof.
Fractions and decimals quiz
Twelve questions drawn at random from a bank of eighteen, covering factors, fraction calculations, order of operations and recurring decimals, including the algebraic method. No calculator.
12 questions · pass mark 70%