# Lesson Worksheet: Percentages to Decimals Mathematics • 6th Grade

In this worksheet, we will practice converting percents to decimals for a set of rational numbers.

**Q2: **

Express as a decimal.

**Q10: **

A percent is a fraction where the denominator (i.e., the whole) is 100. In the diagram, a 100-centimeter ruler has been used to represent the whole.

What is the length of the shaded part in centimeters? What percent of the ruler is it?

- A
- B
- C
- D
- E

If now we use meter as a length unit and the ruler is one meter long, what is the length of the shaded part in meters?

- A0.4 m
- B0.3 m
- C0.25 m
- D0.75 m
- E0.7 m

The ratio of the length of the shaded part to that of the whole ruler can be expressed as a fraction, a percent (which is a fraction where the denominator is 100), or as a decimal. In the latter case, the decimal can be interpreted as the length of the shaded part when the whole is 1. Give this ratio as a decimal.

**Q14: **

If of a certain number is added to it, and then of the total is subtracted from the result, would the result be greater than, less than, or equal to the original number?

- Agreater than the original number
- Bless than the original number
- Cequal to the original number