Adding and Subtracting Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. 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, find a common denominator, convert the fractions, and then add the numerators. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is a mixed number?

Back

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

Tags

CCSS.3.NF.A.3C

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

Front

What is the process for subtracting fractions?

Back

To subtract fractions, if they have the same denominator, subtract the numerators and keep the denominator. If they have different denominators, find a common denominator first.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF). For example, 4/8 simplifies to 1/2.

Front

What does it mean to reduce a fraction?

Back

To reduce a fraction means to simplify it to its lowest terms.

Front

What is the sum of 1/2 and 1/3?

Back

The sum of 1/2 and 1/3 is 5/6. (1/2 = 3/6, 1/3 = 2/6; 3/6 + 2/6 = 5/6).

Tags

CCSS.4.NF.B.4A

CCSS.4.NF.B.4B