Fractions Decimals Percentages (C) WORKSHEET

This worksheet is much less guided than Fractions, Decimals and Percentages A and B, as it requires students to convert more fluently between percentages and decimals.

Section A takes a closer look at every day, but often difficult to convert, thirds and eighths. Here students are given the equivalences for ¹⁄₈ and ²⁄₈ and asked to determine ³⁄₈, ⁵⁄₈ and ⁷⁄₈ using the information they have. Knowledge of equivalent fractions is drawn out as students are asked why ⁴⁄₈ and ⁶⁄₈ have been excluded.

Next, students convert decimals to percentages, including numbers greater than 1 and decimals into 4 decimal places. Section C is the reverse of section B, with percentages converted to decimals. Section C gives learners a set of fractions which they will write as decimals and percentages, including tricky fractions such as ⁷⁄₃₀ and ⁹⁄₄₀.

Finally, section D is a spot, explain and correct a mistake question focusing on two common misconceptions when converting numbers greater than 1 and decimals to 3 decimal places.