Chapter 3: Fractions and Mixed Numbers

multiple

The product of a given whole number and any other whole number. Multiples are never-ending.
2 x 4 = 8
8 is a multiple of 2 and 4.
2: 2, 4, 6, 8, 10, 12, 14, ...
3: 3, 6, 9, 12, 15, 18, 21, ...
4: 4, 8, 12, 16, 20, 24, ...

least common denominator (LCD)

The least common multiple of the denominators of two or more fractions.
The LCD of 2/3 and 3/4 is 12.

equivalent fractions

Fractions that have the same value.
Example: 1/2, 2/4, and 3/6 are equivalent fractions.

benchmarks

Numbers which are easier to work with and to picture than others. Common benchmarks for estimating with fractions are 0, 1/2, and 1.
1/8 is about 0
2/5 is about 1/2
9/10 is about 1

least common multiple (LCM)

The least common number among all the common multiples of a set of two or more numbers.
Example:
Multiples of 4: 4, 8, 12, 16, 20, 24
Multiples of 6: 6, 12, 18, 24, 30, 36
12 is the LCM of 4 and 6. It is the smallest multiple they both have in common.

division expression

An expression that contains only numbers and the division symbol. 2 divided by 3 is a division expression.

mixed number

A number made up of a whole number and a fraction.