Adding Fractions and Mixed Numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction 1/2, 1 is the numerator and 2 is the denominator.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction. For example, 2 1/2 is a mixed number, where 2 is the whole number and 1/2 is the fraction.

Tags

CCSS.3.NF.A.3C

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, first find a common denominator, convert the fractions, and then add the numerators. For example, to add 1/3 and 1/4, the common denominator is 12: (1/3 = 4/12) + (1/4 = 3/12) = 4/12 + 3/12 = 7/12.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is the first step in adding mixed numbers?

Back

The first step in adding mixed numbers is to convert them into improper fractions. For example, to add 1 1/2 and 2 2/3, convert them to improper fractions: 1 1/2 = 3/2 and 2 2/3 = 8/3.

Tags

CCSS.7.NS.A.1C

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, 5/4 and 7/7 are improper fractions.

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 and add the numerator. For example, for 2 1/3: (2 * 3) + 1 = 6 + 1 = 7, so 2 1/3 = 7/3.

Front

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

Back

To find the sum of 1/2 and 1/3, find a common denominator (6): 1/2 = 3/6 and 1/3 = 2/6. Then add: 3/6 + 2/6 = 5/6.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is the sum of 2 1/4 and 1 3/4?

Back

First, convert to improper fractions: 2 1/4 = 9/4 and 1 3/4 = 7/4. Then add: 9/4 + 7/4 = 16/4 = 4.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms. For example, 4/8 can be simplified to 1/2 by dividing both the numerator and denominator by 4.