Decimals and Percentages - Percentages as Fractions and Decimals - Worksheet

The worksheet titled "Percentages as Fractions and Decimals" serves as an educational resource to help children understand and convert percentages into both fractions with a denominator of 100 and decimals representing hundredths. Through this exercise, students will recognize that percentages, decimals, and fractions are all different ways of expressing proportions. The worksheet provides an example to guide students in completing a table, where they will fill in missing parts such as the percentage, fraction, and decimal equivalents of various proportions. For instance, they will see that 53 parts per hundred can be written as 53%, the fraction 53/100, or the decimal 0.53. The worksheet is designed to enhance students' fluency and precision in dealing with these mathematical concepts.

In addition to table completion, the worksheet includes reasoning and problem-solving questions to deepen the students' comprehension of the relationship between fractions, decimals, and percentages. Students will tackle more complex questions, such as converting fractions to percentages and vice versa. They will also apply this knowledge to real-life scenarios, such as determining what proportion of a book has been read or the percentage of an essay that has been completed, and then expressing these proportions as both percentages and decimals. The worksheet challenges students to think critically about the conversion process and to understand that simply adding a percent sign next to the numerator of a fraction does not accurately convert it to a percentage unless the denominator is 100, reinforcing the concept that 'percent' means 'per hundred'.