Adding & Subtracting Fractions & Mixed Numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts).

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

What does it mean to decompose a fraction?

Back

Decomposing a fraction means breaking it down into smaller fractions that add up to the original fraction.

Tags

CCSS.4.NF.B.3A

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 1 1/2.

Tags

CCSS.3.NF.A.3C

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, add the numerators and keep the denominator the same. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, then add the numerators.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest number that can be used as a common denominator for two or more fractions.

Front

How do you subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same. For example, 3/5 - 1/5 = (3-1)/5 = 2/5.

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, find a common denominator, convert the fractions, then subtract the numerators.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 5/4.

Tags

CCSS.3.NF.A.3C

Front

How can you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.