MATHS GCSE exact recurrent fractions decimals

1. Fractions → Decimals → Percentages (Sections 1–10)
   (fractions_sections_1_to_10.html)
   A full interactive course covering all key fraction, decimal, and percentage conversions. Includes worked examples and 250+ auto‑marking questions on:

Simple fractions → decimals
Mixed numbers → decimals
Improper fractions → decimals
Fractions → percentages
Decimals → fractions (simplest form)
Decimals → mixed numbers
Decimals → percentages
Percentages → fractions

Learners type answers and receive instant green feedback and auto‑advance.

1. Reciprocal Powers of Two — Interactive Practice
   (fractions-reciprocal-powers-of-two-interactive-v3.html)
   A structured set of activities focused on reciprocal powers of 2 (1/2 → 1/32). Includes:

Fraction ↔ decimal match‑ups
Gap‑fill tasks for missing reciprocals
Middle‑value identification (e.g., 1/4 _ 1/16)
Multiples of reciprocals (e.g., 3/8, 5/16)
Mixed numbers and improper fractions using denominators 2, 4, 8, 16, 32
Ordering activities

1. Mixed & Improper Fractions — Auto‑Next Practice
   (mixed-improper-interactive-autonext-v2.html)
   An interactive tool focused on mixed numbers and improper fractions, including:

Mixed → improper conversion
Improper → mixed conversion
Matching activities
Ordering improper fractions
Number‑card constraints (select valid numerators/denominators)
All exercises are clickable or typed, auto‑marking, and self‑advancing.RECIPROCALS— Pattern Families
Task: Given a decimal for 1/n, click the family it belongs to:

Powers of 2 (2, 4, 8, 16)
Nice tens (5/10/20/25 → clean decimals)
Repeating 3/6/9/12/15/18/24
Sevens family (7/14/21 → the 142857 cycle)
Other primes (11, 13, 17, 19, 22, 23)

Example (shown in the file):
0.25 → powers of 2 (because 1/4 = 2⁻²).
Tip embedded before the set.