A decimal is a way of writing a part of a whole number. It is based on powers of 10. For example, in the decimal 0.75, the 7 is in the tenths place and the 5 is in the hundredths place.

To convert a decimal to a fraction, follow these steps:

- Write the digits of the decimal as the numerator.
- Count the number of decimal places and write 10, 100, 1000, etc. as the denominator, depending on the number of decimal places.
- Simplify the fraction if possible.

A fraction represents a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). For example, in the fraction 3/4, the 3 is the numerator and the 4 is the denominator.

To convert a fraction to a decimal, divide the numerator by the denominator. The result is the decimal equivalent of the fraction.

1. Convert 0.6 to a fraction.

Answer: 0.6 = 6/10 = 3/5

2. Convert 5/8 to a decimal.

Answer: 5 ÷ 8 = 0.625

Study GuideDecimals/Fractions Activity LessonOrdering Decimals & Fractions Activity LessonPercent Grids Activity LessonFraction & Percent Circles Worksheet/Answer key

Decimals/Fractions Worksheet/Answer key

Decimals/Fractions Worksheet/Answer key

Decimals/Fractions Worksheet/Answer keyDecimals/Fractions Worksheet/Answer keyPercent Grids Vocabulary/Answer keyDecimals/Fractions

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Recognize and generate equivalent forms of commonly used fractions, decimals, and percents.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Grade 4 Curriculum Focal Points (NCTM)

Number and Operations: Developing an understanding of decimals, including the connections between fractions and decimals

Students understand decimal notation as an extension of the base-ten system of writing whole numbers that is useful for representing more numbers, including numbers between 0 and 1, between 1 and 2, and so on. Students relate their understanding of fractions to reading and writing decimals that are greater than or less than 1, identifying equivalent decimals, comparing and ordering decimals, and estimating decimal or fractional amounts in problem solving. They connect equivalent fractions and decimals by comparing models to symbols and locating equivalent symbols on the number line.