An equivalent fraction is a fraction that represents the same amount or value as another fraction. In this case, we are looking for fractions that are equivalent to 1/2.

To find equivalent fractions to 1/2, we can multiply or divide the numerator and the denominator by the same non-zero number. This will give us a new fraction that represents the same amount as 1/2.

To find equivalent fractions to 1/2 by multiplying, we can multiply both the numerator and the denominator by the same number. For example:

- 1/2 = 1 * 1 / 2 * 1 = 2/4 (multiply by 2)
- 1/2 = 1 * 2 / 2 * 2 = 2/4 (multiply by 2)
- 1/2 = 1 * 3 / 2 * 3 = 3/6 (multiply by 3)
- and so on...

We can also find equivalent fractions to 1/2 by dividing the numerator and the denominator by the same number. For example:

- 1/2 = 1 / 2 = 1/4 (divide by 2)
- 1/2 = 1 / 2 = 2/4 (divide by 2)
- 1/2 = 1 / 2 = 3/6 (divide by 2)
- and so on...

There are infinitely many equivalent fractions to 1/2, as long as we multiply or divide the numerator and the denominator by the same non-zero number. These fractions all represent the same amount as 1/2, but are written in different forms.

Study GuideEquivalent Fractions to 1/2 Worksheet/Answer key

Equivalent Fractions to 1/2 Worksheet/Answer key

Equivalent Fractions to 1/2 Worksheet/Answer key

Equivalent Fractions to 1/2

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.

Use models, benchmarks, and equivalent forms to judge the size of fractions.

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 3 Curriculum Focal Points (NCTM)

Number and Operations: Developing an understanding of fractions and fraction equivalence

Students develop an understanding of the meanings and uses of fractions to represent parts of a whole, parts of a set, or points or distances on a number line. They understand that the size of a fractional part is relative to the size of the whole, and they use fractions to represent numbers that are equal to, less than, or greater than 1. They solve problems that involve comparing and ordering fractions by using models, benchmark fractions, or common numerators or denominators. They understand and use models, including the number line, to identify equivalent fractions.