Adding & Subtracting fractions and 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 (part) and 'b' is the denominator (whole).

Front

What is a mixed number?

Back

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

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.

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 + 1/6 = 2/6 + 1/6 = 3/6 = 1/2.

Front

What is the process to subtract 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.

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.

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 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the importance of finding a common denominator?

Back

Finding a common denominator is important when adding or subtracting fractions with different denominators to ensure the fractions are compatible.

Front

Can you simplify fractions?

Back

Yes, fractions can be simplified by dividing the numerator and the denominator by their greatest common factor (GCF). For example, 4/8 can be simplified to 1/2.

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, such as 1/2 and 2/4.