Mathematics from zero
Fractions: free-recall review
Recalling beats re-reading. For each prompt, say or write a full answer from memory before you open the model answer — the effort of pulling it back is what makes the idea stick.
Reconstruct the unit’s core ideas — what makes a fraction, how equivalence and simplest form work, why adding needs a common denominator, and how decimals and percents name the same amount — without looking back at the lessons.
- 01What do the two numbers in a fraction mean, and why must the parts be equal?
- 02How do you build an equivalent fraction and how do you simplify, and what is simplest form?
- 03Why can't you add 1/2 + 1/3 directly, and what is the procedure?
- 04What is a decimal in terms of place value, and why is 0.5 the same as 0.50?
- 05What is a percent, and how do you convert between a percent, a decimal, and a fraction?
- 06How do you find a percent of a number, and what is the common mistake?
If you could rebuild each answer from memory, you hold the unit’s spine: a fraction is equal parts named by numerator over denominator; equivalence comes from multiplying or dividing both numbers by the same value; adding needs a common denominator because you can only count same-sized parts; a decimal is the same amount written with place value; and a percent fixes that denominator at 100, so fraction, decimal, and percent are three interchangeable names — and ‘percent of’ is always convert, then multiply.